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Jean Constant published work

Update 01, 2024.


Digital & print collection: AppleBook / GooglePlay | Amazon-Kindle

Category Digital : Green

Category Print: Red

*Title may differ between Apple/Google & Kindle because of publishing constraints  

** ASIN IDs are Kindle only (01/24)

The Math-Art Collection

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#15. Prime Numbers

ID

D P

TBA

Editorial  

Review

The premise of this book is to explore the visual and aesthetic aspects of numbers.  

Jean Constant started this project to find why numbers, omnipresent in everyone's daily life, have no significant presence  in the art world. Aided by multiple sources, his illustration follows the sequence of the first 52 prime numbers to study  their shape and connects them to places and activities they are notably associated with. In turn, minimal, geometric, or  abstract, each artwork becomes a free ethnomathematics exploration of numbers' past and present history that brings  up the oddly unique individuality of each symbol.

In addition to the portfolio, an additional section emphasizes the critical aspects of prime numbers by including a section  on mathematical properties, historical significance, and cultural references in the book, providing a well-rounded  exploration of the topic.

Description

Prime numbers have no prime factors smaller than themselves. They have been studied for centuries and continue to  intrigue mathematicians due to their unique properties. Yet, few artists have explored at length prime numbers as a  theme or a means of visual communication.

This book explores the visual aspect of the first 52 primes, their representation as almost universally understood  symbols, and their connections with the many activities they are associated with.  

Each design unveils critical and unexpected aspects of prime numbers as communication symbols, providing a unique  source of inspiration for further artistic studies.

In addition to the portfolio, the artist's detailed logbook abounds with explanations for each design and the number  association with other areas of activity provide an extra layer of appreciation for the topic.

From the  

author

Numbers are everywhere. Most amazingly, better than language, they are understood almost universally. They also  constitute the making of shapes and positioning in space, two areas very familiar to the arts.

It was tempting to explore them as design forms and symbols of communication. I selected a sequence of prime  numbers because of their significance in number theory and because they offer a linear progression, a thread easy to  follow.

Soon, I found that each number conveyed different original significance and together created singular but intriguing  geometry. The higher the number, the more challenging the connection, yet at every turn, numbers prove to be more than  mere accounting but beautiful and inspiring geometry.

From the  

inside flap

Please check the latest volumes of the MathArt series:

Flower geometry         

Buy on Amazon: 1715813553

Digital Sangaku, Part I

Buy on Amazon: 1320740472

52 Grains of Sand - Geometry of Nature  

Buy on Amazon: 1388881535

From the  

back cover

Numbers populate our lives every thinking hour. Yet, there are very few artistic representations of them. This book  explores the shape, meaning, and connections of the first 52 prime numbers with other worlds in sometimes intriguing,  sometimes perplexing, and always beautiful visualizations.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#14. Coxeter Polyverse

ID

D

Kindle ASIN: B0BZJVG2CN

Google GGKEY: 7DXPBWCB1SB 

Apple ID: 6446779957

Editorial  

review

Harold Coxeter was a giant of mathematics. His classification of geometry shapes in the 1930s opened the door to  numerous analyses that, besides mathematics, affected many scientific research fields, from crystallography to linear  programming. Coxeter's classification inspired the work of R. Buckminster Fuller and M. C. Escher, among many others. In this portfolio, the artist explores the fascinating world of geometry in 52 illustrations that visually redefine our  perception of our multidimensional world. The author uses his design and art background to find new, unexpected  connections between abstract geometry, the world of art, and our environment.  

In addition, included in the book are the notes Jean Constant kept during the creative process for each artwork,  connecting the geometry to past and present cultural artifacts or events that populate our life in often unnoticed but very  present ways. This informal window into the artist's mind while creating the artwork adds an enjoyable and lively touch to  the appreciation of the book.

Description

Abstract geometry portfolio inspired by the work of H. Coxeter. The illustrations in this book are part of a 52-week  research project on 2D to 4D and higher dimension geometry based on Coxeter classification of shapes. It is a  continuation of the multiple aspects of scientific data explored from an artistic perspective that constitute the series  Math-Art.

Anchored in precise mathematics, each image invites us to connect to the many aspects of a world we barely see or  notice.  

Complementing the visual gallery, the notes Jean Constant kept during the process add an original and informative  appreciation of the artistic process and the composition itself.

From the  

author

Attempting to follow the steps of Escher, Mandelbrot, and Penrose is not just humbling but a long and arduous journey  for a visual artist not too well trained in mathematics.

However, curiosity is the engine that drives us to reach for the sky. Exploring for 52 weeks this magical world that leads  to the visual interpretation of the 4th and higher dimensions has been such a reward it made the effort well worth it.  While scientists continue to debate the correctness or usefulness of these unique abstract shapes, I gladly share my  results with you in the hope that you too can enjoy both the aesthetics and inspirational aspects of mathematics.

From the  

inside flap

Please check the latest volumes of the MathArt series:

Flower geometry         

Buy on Amazon: 1715813553

Digital Sangaku, Part I

Buy on Amazon: 1320740472

52 Grains of Sand - Geometry of Nature  

Buy on Amazon: 1388881535

From the  

back cover

Dictionaries define geometry as concentrating on objects' shape, spatial relationships, and the properties of surrounding  space. So does creating or enjoying art, in some respect. H. Coxeter, by classifying all possible geometry shapes,  opened me to a multilevel exploration of geometry from 2D shapes to 4D and higher dimensions. This short 52  illustrations of these ideas highlight the wealth and richness of the visual discourse and the world we inhabit

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#13b. Minimal Surface II

ID

D

Kindle: ASIN: B0B94KJT8H

Google GGKEY: 9G5G74P33AG

Apple ID: 6443266937

Editorial  

Review

In the late 1800s, physicist J. Plateau found that soap bubbles characterized minimal surfaces best. This keen  observation of a problem mathematicians have been studying since antiquity is not inconsequential. These elegant and  complex shapes found in nature from butterflies, beetles, or black holes are studied today in statistics, material sciences,  molecular engineering, and architecture.  

The results of this unexpected collaboration are presented in two parts: the first focuses on the art generated from these  singular shapes, and the second book revisits the original mathematical figures Jean Constant worked from.  The distinct beauty of these models that fascinated artist Man Ray6 in the 1920s is as powerful today as when  generations of mathematicians studied them at the Poincare Institute in Paris at the turn of the 20th century.  While the full-color version is available as an AppleBook, the monochrome version available on Kindle is just as striking  because of the singular dynamic of each surface.

Description

This project, which includes 52 different surfaces, started as a single art-oriented book. The shapes of the surfaces are  so singular and beautiful that the artist complemented part I - the art, with the simple geometry of the surfaces as defined  by mathematical calculations. Each book includes an informal notebook kept while doing the project: thoughts and  associations that came to mind while working on a specific figure, often relating to ethnomathematics, archeology, or  history, as the shape or finished artwork seemed to call for various cultural references.

The second part’s logbook deals with the raw mathematical models. It introduces basic mathematical definitions that  explain in a few words the science behind the visualization and the primary mathematical and technical references that  helped the understanding of the complex calculations associated with the visualization of these models.

From the  

author

Minimal surfaces can be found in living and organic representations, even astronomical systems. Exploring them from an  artistic perspective adds to our understanding and appreciation of the complexity of our environment. Following the illustrations, I added a copy of the informal log I kept throughout the project and the source references that  helped me better understand these stunning expressions of nature, science, and art.

From the  

inside flap

Please check the latest volumes of the MathArt series:

Flower geometry         

Buy on Amazon: 1715813553

Digital Sangaku, Part I

Buy on Amazon: 1320740472

52 Grains of Sand - Geometry of Nature  

Buy on Amazon: 1388881535

From the  

back cover

Borne from mathematical theories, minimal surfaces bring us closer to nature as they can be found in living and organic  representations, even astronomical systems. Exploring them from an artistic perspective in 52 illustrations, Jean  Constant's illustrations add to our appreciation of the complexity of our environment.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#13a. Minimal Surface I

ID

D

Kindle: ASIN B0B93TLL8T

Google GGKEY: JYFSAAHWTCG 

Apple ID: 6443266617

Editorial  

Review

Mathematicians have studied minimal surfaces since antiquity. These elegant and complex shapes found in nature, from  butterflies, beetles, or black holes, are studied today in statistics, material sciences, molecular engineering, and  architecture.  

Each week for 52 weeks, Jean Constant explored their unique geometry from an artistic perspective. The results of this  unexpected collaboration are presented in two parts: the first focuses on the art generated from these singular shapes,  and the second book revisits the original mathematical figures that inspired the artworks.

In addition to the illustrations, the author has included a copy of the informal log kept throughout the project and the  source references that help better understand these stunning expressions of nature, science, and art. While the full-color version is available as an AppleBook, the monochrome version on Kindle is just as striking because of  each surface's singular dynamic.

Description

This project, which includes 52 different surfaces, started as a single art-oriented book. However, the shapes of the  surfaces are so singular and beautiful that the artist complemented part I - the art, with the simple geometry of the  surfaces as defined by mathematical calculations.  

Part one includes an informal notebook kept throughout the process: thoughts and associations that came to mind while  working on a specific figure, often relating to ethnomathematics, archeology, or history, as the shape or finished artwork  seemed to call for various cultural references.

The second part’s logbook deals with the raw mathematical models. It introduces basic mathematical definitions that  explain in a few words the science behind the visualization and the primary mathematical and technical references that  help the understanding of the complex calculations associated with the visualization of these models.

From the  

author

Minimal surfaces can be found in living and organic representations, even astronomical systems. Exploring them from an  artistic perspective adds to our understanding and appreciation of the complexity of our environment. Following the illustrations, I added a copy of the informal log I kept throughout the project and the source references that  helped me better understand these stunning expressions of nature, science, and art.

From the  

inside flap

Please check the latest volumes of the MathArt series:

Flower geometry         

Buy on Amazon: 1715813553

Digital Sangaku, Part I

Buy on Amazon: 1320740472

52 Grains of Sand - Geometry of Nature  

Buy on Amazon: 1388881535

From the  

back cover

Borne from mathematical theories, minimal surfaces bring us closer to nature as they can be found in living and organic  representations, even astronomical systems. Exploring them from an artistic perspective in 52 illustrations, Jean  Constant's illustrations add to our appreciation of the complexity of our environment.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#12c. Knot Geometry - The Map

ID

D P

Kindle: ASIN B099TSBNT

Google CGKEY: 21SFJ8WUA29

Apple ID: 1577013843

Hardcover/Paperback: ISBN-13: 979-8541809985

Editorial  

Review

Detailed mapping of this unique journey of exploration of 52 knots traveling around the world in 52 weeks in the form of  real-time screenshots of Cameron Beccario's Earth wind map provided the artist not only real-time weather information  but also brought every week a visual feast of new abstract strands, creating mysterious, unexpected — knot or braid-like  figures that were often incorporated in the final knot design.

Where volume one is the art portfolio illustrating each particular knot, volume two revisits their shape from a purely  mathematical standpoint, and this volume anchors the project's overall theme in its ethno-mathematical aspect, as each  map represents an actual location in the world.

The complete series converts what could have been a simple exploration of geometric shapes into a multi-layered  exploration of the artistic process and the multiple connections between science and art worldwide.

Description

Detailed mapping of this unique journey of exploration of 52 knots traveling around the world in 52 weeks.  Where volume one is the art portfolio illustrating each particular knot, part two revisits their shape from a purely  mathematical description; this volume emphasizes the ethno-mathematical aspect of the project as Jean Constant  explored local cultures to find unique connections between the knots and places he was at a given time throughout the  project.

The book converted what could have been a simple exploration of geometric shapes into a multi-layered exploration of  the artistic process and the multiple connections between science and art worldwide.

From the  

author

Dealing with knot visualization in a journey around the world and adding the detailed mapping of my journey seemed like  a natural expansion of the entire experience of this 3-part series on Knot Geometry.  

It emphasizes an essential aspect of the project insofar that I did extensive research on each location I found myself in  every week throughout the project. This volume adds another layer of appreciation to this unique experience  combining science, art, and the commonality of our uniqueness in so many different cultures worldwide.

From the  

Inside Flap

Please check the latest volumes of the MathArt series:

Flower geometry         

Buy on Amazon: 1715813553

Digital Sangaku, Part I

Buy on Amazon: 1320740472

52 Grains of Sand - Geometry of Nature  

Buy on Amazon: 1388881535

Back  

Cover

Jean Constant's navigation-log of this 3-part series project on Knot Geometry.

 

The detailed mapping of the weekly progression emphasizes the ethnomathematical aspect of the project that  influenced the creative process in each composition.

 

This volume adds to the appreciation of this uncommon knot-adventure, the understanding of how the knots were  created and their connection to time, navigation, and local cultures through the project's progression.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#12b. Knot Geometry - The Geometry

ID

D P

Kindle: ASIN B09B381LLF | B09B27Z7L3

Google CGKEY 915RHGSPZAC

Apple ID: 1576327921

Hardcover/Paperback: ISBN-13: 979-8541804294

Editorial  

Review

This book is the second part of the knot geometry project. As part one combines mathematics and art, this part focuses  uniquely on the geometry of 52 prime knots and studies the shape in a monochrome setting to emphasize the intrinsic  beauty or intriguing arrangement first described in mathematical terms.  

Jean Constant weaves a complex tapestry of dynamic knots relating to geometry and local cultures, one knot a week for  52 weeks. The notes taken during the journey complement the illustrations and help the reader experience knot geometry  from a distinctive, enjoyable, and educational perspective.

Description

Visual exploration of 52 mathematical knots.

The complete project is built around three parts: the art portfolio and its multilayered presentation of knots in a unique  context; the second part focuses exclusively on the mathematics of each knot; and the last, a real-time weather map that  anchors the ethno-mathematical aspect of this uncommon adventure.

While Part II is an acknowledgment of the work of Tait and Maxwell, Poincaré, Dehn, Alexander, and more recently, John  Conway, without which those models couldn't have existed,  

Using only light as a brush, the artist etches figures that rise to the level of unique and fascinating art forms. The strength  and beauty of each plate make us appreciate and understand better why knots elicit so much interest among  mathematicians.

The book includes additional information and references at the end of the gallery to complement the appreciation of the  mathematical and artistic effort invested in the project.

From the  

author

I first published the full-color result as an AppleBook. Converting the illustrations in black and white for Kindle to lower  the book's price, I found the monochrome images so captivating that I returned to the original compositions and  extracted each mathematical shape to present them as they appear, using only light as a brush.

The results speak for themselves. Besides enjoying the inherent beauty of these singular forms, it helps us appreciate  why so many mathematicians dedicate part of their research to exploring their geometry.

From the  

Inside Flap

Please check the latest volumes of the MathArt series:

Flower geometry         

Buy on Amazon: 1715813553

Digital Sangaku, Part I

Buy on Amazon: 1320740472

52 Grains of Sand - Geometry of Nature  

Buy on Amazon: 1388881535

Back  

Cover

Monochrome illustrations of 52 prime knots.

The geometry of each shape, void of any background or visual reference, brings up the striking and singular beauty of  each shape.  

Notes and references complement the visual gallery with substantive knowledge-based information.  This volume is Part 2 of a three-book series, where Part 1 combines mathematics and art in full-color compositions. Part  three is the detailed weekly geolocation mapping of this singular knot journey around the globe in 52 weeks.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#12a. Knot Geometry - The Art

ID

D P

Kindle: ASIN 1006657614 | B09B2FVTH7 | B099PX62BY

Google CGKEY: R1X54GE1RYP

Apple ID: 1577338858

Hardcover/Paperback: ISBN-13: 978-1006657610 | 979-8541220575

Editorial  

Review

According to mathematicians Jim Hoste and Jeff Weeks, there are two hundred fifty prime knots with ten or fewer  crossings and 1,701,936 prime knots (including the unknot) with up to 16 crossings. That's a lot of knots to choose from,  not counting composite or hyperknots.

 

In this project, Jean Constant anchors his exploration of 52 knots in a virtual journey around the world. The series  includes three parts: the art, the geometry of each knot, and a weather map updated each week to help better  understand the theme's progression.

 

Starting January 1st on the equator line, Jean weaves in broad strokes a complex tapestry of dynamic knots relating to  geometry and local cultures, one knot a week for 52 weeks. The illustrations and notes taken during the journey  complement each other and help the reader experience knots and knot geometry from a unique, enjoyable, and  educational perspective.

 

As Jean Constant emphasizes, light is a brush of unending possibilities when exploring these singular forms that have  been with us since the dawn of humanity and are still as powerful today as they were then.

 

The accompanying notes and references complement the portfolio with information that the reader will find helpful to  understand or further research each knot's mathematical background.

Description

A multilayered artistic exploration of 52 knots that combines art, mathematics, and local history. Traveling the world around the equatorial line one knot a week, the artist incorporates elements of local culture and  history in each new knot in exceptional and inspiring abstract works of art.

The three-part series is built around the elements that contributed to the project:

Part 1: The art portfolio and its development through the various places and cultures the artist came across and inspired  his choice of knot, shape, color, or background

Part II: The mathematical visualization of each knot reconstructed in a modeling program.

Part III: This virtual journey's real-time weather component adds an unexpected but colorful element to the presentation. An informal but detailed logbook highlighting the places, historical and cultural background, and references that each  knot was inspired by.

Science, culture, art. This unusual journey brings to light time and again one of the most fascinating aspects of studying  knots: the interconnectedness of all matter in space and time.

From the  

author

Knots can be as simple as tying up your shoes every day. Studying them in a different context brings up the fascinating  beauty of each arrangement. In part one, I focused on creating an esthetic composition using knots as inspiration. I first  published the full-color result as an AppleBook. Converting the illustrations in black and white for Kindle to lower the  book price, I found the monochrome images so captivating that I returned to the original compositions and extracted the  shapes from their background to present them as they appear, using only mathematics as a tool and light as a brush. The results speak for themselves and help us appreciate why so many mathematicians dedicated part of their research to  exploring their geometry.

From the  

Inside Flap

Please check the latest volumes of the MathArt series:

Flower geometry         

Buy on Amazon: 1715813553

Digital Sangaku, Part I

Buy on Amazon: 1320740472

52 Grains of Sand - Geometry of Nature  

Buy on Amazon: 1388881535

Back  

Cover

Knots. They are all around us. We tie our shoes with knots; mathematicians study their structures; they often create  surprisingly elegant patterns.

In art, knots have fascinated designers and craftsmen from the Celtic world to ancient Asian culture.  

In this series, the author explores the geometry of 52 knots, their shape, the dynamic of their composition, and their  multiple connections to many of yesterday's and today's cultures worldwide.

This volume is complemented by the author's notes and relevant references explaining his technique and thought  process going with each knot throughout the project.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#11. Stochastic Processes and Art

ID

D P

Kindle: ASIN 046400506X | B07VDV57SK

Google GGKEY: NKRQU8T5WHQ

Apple ID: 1473417580

Hardcover/Paperback: ISBN-13: 978-0464005063

Editorial  

Review

Stochastic processes are associated with the concepts of uncertainty or chance. Significant research areas in sciences  are devoted to their study. Similarly, in art, randomness has been the subject of extended research, borne out of  necessity, curiosity, or determination to advance new visual paradigms.  

As an artist exploring actual processes rather than generating accidental visualization, Jean Constant uncovers infinite  new original sources of inspiration and brings art closer to science. It is not an insignificant conclusion at a time when  such a distinction is often questioned and reassessed.

The first part of this book is a gallery of visualizations inspired by actual random processes. The second part includes the  author's background notes during the project, explaining his technique and thought process. The last section includes a  list of references and links to the source material used in the project.

A full-color version of the gallery is available as an AppleBook. However, the more affordable monochrome Kindle version  captures well the essence of these random shapes and their unexpected dynamic interplay: light. Without it, we couldn't  understand much of the world; with it, the artist can bring untold beauty and magnificent forms to life.

Description

Exploration of 52 different aspects of randomness that affect all areas of visualization. The artworks highlight techniques  used in the scientific world to enhance the production of images, reaffirming the commonality of concern between  science and art. They emphasize the relevance of interdisciplinary studies for inspiration and understanding of our  environment. The portfolio includes an informal logbook the artist kept throughout the project and the source references  that inspired each visualization.

From the  

author

In ancient Greece, stochastic processes — randomness, as they called it- were associated with unpredictability.  Scientists create events to understand their meaning and share their knowledge. So do artists. Perception, emotion, and  communication are precious gifts unique to the arts, and they bring a distinct and relevant contribution to the discussion.  Exploring 52 scientific random processes was an extraordinary journey of discovery that pushed my art and creativity in  domains of visual expression seldom explored.

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

The first part of this book is a gallery of visualizations inspired by actual random processes. The second part includes the  author's background notes during the project, explaining his technique and thought process. The last section includes a  list of references and links to the source material used in the project.

A full-color version of the gallery is available as an AppleBook. However, even the more affordable monochrome Kindle  edition captures the power of these random shapes and their unexpected dynamic interplays.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#10. Pattern Recognition/Bongard Diagrams

ID

D

Kindle: ASIN B07LBV2KV5

Google GGKEY: JJ9S7B4D9E9

Apple: Pending Producer update

Editorial  

Review

Mikhail Bongard was a Russian scientist who developed a rationale to approach complex visual pattern recognition  problems. His research, compiled in a 1967 book called "Pattern Recognition," contains numerous examples of diagrams  he used in his experiments. His systematic approach to knowledge, along with the help of powerful algorithms, has  shaped today's research methodology in image processing, computer vision, and numerous other fields of science.  

Jean Constant used the original set of pattern outlines to create unique and striking works of art that add a new layer of  appreciation to scientific sequence imaging. Both black and white and color plates are complemented with the source  material, allowing the viewer to follow the progression of the design while staying grounded in the experiment.

The KIndle monochrome version of the full color book available as an AppleBook book is bound to profit all who study  patterns, look for art inspired by patterns, or just want to enjoy a unique form of abstract art.

Description

Twenty-two original plates inspired by M Bongard's pattern recognition research. The book is complemented with  relevant technical references and a short animation.

Jean Constant included the original pattern outlined with the artwork, giving an additional appreciation for the final  composition. Both black and white color plates are striking works of art and provide sound scientific information for all  those research patterns or enjoy abstract composition based on a solid scientific background.

From the  

author

Following M. Bongard's methodology, I drew a set of questions addressing common concerns designers face when  creating artwork:

- How does space affect the perception of color?

- How does color affect the perception of space?

- Does Bongard's demonstration hold if his simple black and white outlines are rendered in a complex scheme of color  and texture, and if so, what does the viewer gain from the experience?

To appreciate this experiment fully, it is critical to remember how M. Bongard operates: "The purpose of pattern  recognition is to discern patterns in the world." The most surprising part of this experiment is that while the full-color  book is available as an AppleBook, the Kindle monochrome version holds just as forcefully what Bongard said: "As  patterns are sought, templates are made, unmade, and remade, there are discoveries on all levels of complexity."

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Art inspired by Science.

Jean Constant added a layer of appreciation to M. Bongard's original research on pattern recognition.  He created 20 exceptional artworks from the simple outlines illustrating Bongard's original essay, demonstrating that  black-and-white or color-sound scientific information can be enjoyed from many angles.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#09. Achromatic Sangaku

ID

D

Kindle: ASIN B07KR571YZ

Google GGKEY: CYJ8JPZYZE2

Apple ID: 1443749725

Editorial  

Review

Sangaku little wooden blocks were very popular in Japan during the Edo period to teach geometry. Today, Sangaku's  problems are found to be very similar to Pythagorean and Euclidean geometry.  

This series of illustrations explores the unique combinations of these colorful squares, triangles, and circles and  challenges the viewer to solve a mathematical problem with tools of the 21st century.

The book has two parts: 24 illustrations that explore the 2-dimensional aspect of the geometry and 32 separate images  that explore the 3-dimensional aspect of the shapes.  

Included are copies of the original Sangaku and the problem it describes, as well as selected references to additional  works on Wasan geometry, adding a multilayered perspective to his unique artistic journey.

Description

Series of 2D and 3D illustrations of selected Sangaku problems. Twenty-four artworks reinterpret the original geometry in  2 dimensions, and 32 3D models investigate the dynamic of each form. The full-color book is available as an AppleBook.  However, the monochrome Kindle version demonstrates this art form's abstract beauty and unique originality in vivid  representations. Additionally, a detailed review of each original Sangaku and the problem it describes and a list of related  references add a deeper layer of appreciation for the art form.

From the  

author

Sangaku are a natural source of inspiration for artists. While they were meant to practice and visualize abstract  mathematical theories, their simple geometry creates a unique beauty, calling any artist interested in shape and sizes. I  started to explore the problems as two-dimensional representations but soon moved to 3-D modeling to explore hidden  facets of their geometry. Both deliver on the promises beyond expectations.

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Sangaku geometry comes from 1800s Japan. The purity and dynamic of these mathematical problems create lines that  naturally inspire artists. Selecting 56 examples of this tradition, Jean Constant explores in 2D and 3D the beauty and  complexity of their shapes. As a bonus, the artist shares each shape's original outlines and reasoning in a separate  chapter, providing an accurate background for each representation.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#08. The Quaste Quandary

ID

D

Kindle: ASIN B07G4F3BLY

Google GGKEY: KAUERX0963T

Apple: Pending Producer update

Editorial  

Review

Look for the word Quaste in a Duden dictionary, and this is the definition you will find: A Quaste, a tassel, or a bushel in  English, is a coherent bundle of threads. Surprisingly, it is also the name of an algebraic equation designed by the MFO  Imaginary team.  

Jean Constant explores this unconventional surface from an artistic perspective, creating 25 original artworks celebrating  the connection between geometry and art. Guided by the facetious spirit of the original engineers, the work evokes  abstract sculptures and fascinating objects of a new, uncommon nature.

Description

Quaste is the name of a geometric figure visualized with an algebraic equation. 25 examples of the complex, sometimes  lyrical, puzzling visualizations compose this portfolio, along with notes and references to the mathematics that sustain  these original sculpture-like models.

From the  

author

Algebraic geometry may sound barbaric or intimidating, but exploring the many facts of this particular equation leaves  one with wider puzzlement and admiration for how numbers can translate in such shape in the artistic environment. This  is an experiment where the art doesn’t come from subconscious thoughts but just applies sequences of numbers to  create new, never-seen forms that are intriguing, amusing, and always the source of unknown new pleasures.

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Quaste is the name of an imaginary surface created from an algebraic equation. In 25 illustrations, Jean Constant  demonstrates the unexpected dynamic relationship between numbers, mathematics, and art.

The Kindle black and white Kindle version emphasizes the sculptural aspect of the shape, while the full-color version  available in the AppleBook opens different perspectives of place and interpretation. Both complement each other  forcefully.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#07. The Mathematical Surfer/Virtual Curves

ID

D

Kindle: ASIN B07FLZG7BW

Google GGKEY: F9BAFNRCYJ4

Apple: Pending Producer update

Editorial  

Review

SURFER is a Java-based extension of the program SURFER 2008 that was developed to visualize algebraic curves. as a  joint project of the MFO (Mathematisches Forschungsinstitut Oberwolfach) and the Technical University of Kaiserslautern.  Jean Constant used the program to design 30 artwork variations on three significant mathematical shapes from the  extensive program library of geometry forms: Cayley's cubic, Surface of degree 7 singularities, and Barth's sextic.  The artist's creativity and the program's quality create stunning new abstract shapes. While solidly anchored in tangible  mathematics, these abstract compositions introduce exceptional visionary expressions of an original art form. In the tradition of open-source engineering, the equations that created the original shapes are included at the end of the  book along with a references section, and the preparation notes for a lecture at a math and art symposium.

Description

Thirty abstract visualizations created from an original math visualization program focusing on Cayley's cubic, Surface of  degree 7 singularities, and Barth's sextic. In the tradition of open-source engineering, the equations that initiated the  original shapes are included at the end of this book, along with relevant references and the preparation notes for a lecture  at a math and art symposium.

From the  

author

The original series was part of a more extended project I conducted over a year to test and compare 12 different  mathematical visualization programs and evaluate their relevance in art and visual communication. The resulting 365  artworks, background, and relevant mathematical references were put together in a book titled "The 12-30 Project", also  available in print on Kindle.

The program SURFER can be found on the MFO site archives. The program being free, a courtesy among users is to  share their codes. At the end of the book, I included the number sequences from which I extracted each artwork outline.

A full color version of the portfolio is available as an AppleBook. The black-and-white Kindle version was designed  originally to make the book more affordable. Surprisingly, I found that in black and white or color, each map develops a  unique and distinct identity, depending on the strength of the lines or the light & shading interaction.

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

30 original stunning expressions of abstract art created from a sequence of numbers.  

This unusual collection combines mathematics and art in a fascinating journey of visual discovery. Each plate is also  available as a full-size artwork on Jean Constant's online portfolio at SaatchiArt.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#06. Cantor deconstructed

ID

D

Kindle: ASIN B07DN8Q3BL

Google GGKEY: EP5DUF9C5ZY

Apple: Pending Producer update

Editorial  

Review

Using a generalization of the Cantor set, Polish mathematician Sierpinski is known for having explored fractal  visualizations back in 1916.

Inspired by a design known as the Sierpinski carpet, Jean Constant starting with a simple square recursive iteration  process completed a succession of 30 original compositions that led him to include optical illusion components in the  artwork in new layers of captivating images.  

The gallery is complemented by a short animation and a detailed progression log highlighting Jean's creative and  decision-making process.

The references and glossary are welcome companions to this exceptional book of abstract art, and each artwork is  featured in his portfolio on the SaatchiArt online gallery.

To make the book more affordable, the Kindle version offers only black and white images, while the print and  AppleBook versions are available in full color. As the artist noted, using light as a brush brings as many fascinating  shapes as color would.

Description

30 stunning artworks inspired by Sierpinski's research in fractal theory and principles of optical illusion.  

This extraordinary journey based on the multiplication of a simple square grid is complemented by a detailed log  covering the creative challenges and sometimes unexpected outcomes.  

This book not only describes in images and words a unique interpretation of fractal theory and its possible outcomes but  also a fascinating window into the creative process.

Jean Constant teamed with musician Michael Kott with to compile the artworks in a fascinating animation available  @https://www.youtube.com/watch?v=mgFv7wNhDbo 

To make the book more affordable, the Kindle version offers only black and white images, while the print and  AppleBook versions are available in full color. As the artist noted, using light as a brush brings as many fascinating shapes  as color would.

From the  

author

I started this project using a simple square to see how many iterations I could get on a flat, two-dimensional surface. Not  expecting much inspiration or visual gratification from a set of square outlines, I was the first to be surprised by the  wealth of information and additional perceptual connection each composition generated.  

In addition to the artwork, it becomes almost natural to keep a detailed record of the steps I had to go through in the  progression. Thi informal log reflects a visual adventure that was time challenging and fun and took me places I didn't  expect to go.

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Based on a simple recursive process inspired by a design known as the Sierpinski carpet, Jean Constant completed 30  original compositions that led him to include optical illusion components in new layers of captivating images.  

A short animation complements the gallery. A detailed log, a list of references, and a glossary are welcome companions  to this exceptional book of abstract work available in print and color as an AppleBook.  

The artworks are available in large format in Jean Constant's portfolio on the online SaatchiArt gallery.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#05. Boy Surfaces

ID

D

Kindle: ASIN B07F8FB2F2

Google GGKEY: 33KJXH8JYGF

Apple: Pending Producer update

Editorial  

Review

In 1901, German mathematician Werner Boy discovered turning a sphere inside out in a three-dimensional space creates  a 3-fold rotational symmetry.

What scientists discover in mathematics is an inspiration for visual artists. Free from the constraint of the scientific  discipline, Jean Constant explores these intriguing geometry shapes for their aesthetic and cultural value.

The 20 full-color illustrations are available as an Apple book and on the artist gallery page on SaatchiArt. The light in the  monochrome Kindle version demonstrates equally this object's unique shape, which has fascinated mathematicians and  artists alike since it was first discovered.

Description

Twenty artistic interpretations of a remarkable minimal surface discovery by mathematician Boy. His work is an unending  source of inspiration for designers and artists exploring the fascinating connections between mathematics and art.

While the full-color book is available as an Apple Book, the monochrome Kindle version emphasizes the complexity of  this unique shape only defined by light.  

The book is complemented with a short animation, a glossary, and a list of references to related research.

From the  

author

The original figures of this portfolio were composed in a math modeling program that allowed me to change the object's  parameters as needed while remaining consistent with their mathematical accuracy.

The Boy surface is non-orientable, so it is impossible to consistently choose "front" and "back" anywhere on the surface.  This may be initially disorienting. However, it ended up being inspiring and rich with gratifying visual information.

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Mathematics as a source of inspiration for stunning representations of a shape in 20 different and original contexts. Jean  Constant brings a new perspective to the study of a form that has fascinated mathematicians and artists since it was first  discovered by Werner Boy in 1901.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#04. Riemann conundrum

ID

D

Kindle: ASIN B07DH9JKCQ

Google GGKEY: 6SSDLK59HE0

Apple: Pending Producer update

Editorial  

Review

Bernhard Riemann was a mid-1800s German mathematician known for his contribution to number theory and differential  geometry. Riemann was instrumental in helping develop the field of topology - the study of shapes and space in which  the properties of figures remain unchanged by continuous deformations.

Riemann geometry may seem intimidating for all non-mathematicians, yet as Jean Constant found it, it is surprisingly rich  in possibilities. The outcomes, more than intriguing, are exceptional and inspiring in visual terms because of the lines'  elegance and the shapes' uniqueness.

While the artist claims that combining Minoan art background with that geometry may have been a mere design  coincidence, these antic designs work seamlessly to complement the complexity of the Riemannian objects.  The full-color version of the project is available as an AppleBook, yet the Kindle monochrome version brings the best in  this exceptional geometry as well.

Description

Series of 20 illustrations of Riemann surfaces blending in a Minoan background using multiple 2D and 3D graphics  editing software. What is a feast for the eye is complemented with a resource chapter - an inventory of the original  shapes and Minoan art that provides insightful background to the creative process and the connection between math  and art.

From the  

author

"I explored some of the Riemann family of minimal surfaces while working on a larger project on 4th-dimensional  geometry.

Bernhard Riemann was a mid-1800s German mathematician known for his contribution to number theory and differential  geometry. Riemann was instrumental in helping develop the field of topology - the study of shapes and space in which  the properties of figures remain unchanged by continuous deformations.

Riemann geometry may seem very intimidating for all non-mathematicians, yet it is surprisingly rich in possibilities when  explored with mathematical visualization modeling software. Fortunately, I had a copy of a program called 3D-XplorMath  created by Dr. Richard Palais and his team at Brandeis University in the 1980s that has an extensive library of surfaces,  including some of the Riemann family. More than intriguing, the outcomes were exceptional and inspiring in visual terms  because of the elegance of the lines and the uniqueness of the shapes.

What drove me to combine Minoan art background with that geometry may have been mere design coincidence.  However, as I progressed in the work, I was repeatedly drawn into Minoan antic designs that, with no apparent relation,  worked seamlessly to complement the complexity of the Riemannian objects. Unsurprisingly, I found late in the project  that there is a well-respected Riemann Institute near Knossos, Crete!

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Only an artist could have thought of combining Riemann geometry and Minoan art. Yet Jean Constant succeeds in  making his point in20 beautiful and inspiring illustrations that blend the elegance of the mathematics demonstration  with the inspirational design of ancient civilizations. The resource chapter at the end of the book explains at length the  creative process and connection between Science, art and ethnomathematics.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#03. Bell Numbers

ID

D

Kindle: NA

Google GGKEY: UHDCDB226EH

Apple: Pending Producer update

Apple/Google only. Monochrome version not available on Kindle

Editorial  

Review

The Bell numbers describe the number of ways a set with n elements can be partitioned into disjoint, non-empty subsets.  They are tools used in combinatorics, probability, and statistics.  

Jean Constant explores the many aspects of this collection of two-dimensional visual encodings and, in the process,  generates unusual and powerful abstract works of art.

Following a grid designed by mathematician Robert Dickau, the 15 works highlight the beauty and complexity of  mathematical reasoning and lead to a more extensive reflection on the role of art in the scientific world.

The book includes a glossary of terms and references relevant to the theme. Each artwork is available in large size in  Jean Constant's portfolio on SaatchiArt.

Description

Fifteen original artworks inspired by the work of mathematician Eric T. Bell in the early 1900s and still at the chore of  significant research in mathematics, statistics, computer science, graph theory, probability theory, and quantum  mechanics.

Exploring mathematician Rober Dickau's distinctive two-dimensional set partition grid, the artist brings to life new,  unseen geometries created by studying factorization, permutation, and other schemes that surprisingly connect to  Japan's early 11th-century literature.

The art portfolio is complemented with a short animation, a glossary, and a list of relevant references. Each artwork is  available in large size in Jean Constant's portfolio at SaatchiArt.

From the  

author

Studying geometry and following the systematic reasoning described by E. Bell is every art instructor's dream. The logic  and the dynamic of the method described by mathematicians help consolidate all graphics reasoning concerning  composition, size, and positioning on a 2D surface.

Interestingly, the project led me to discover a similar set partitioning approach for a literary essay. The Genji Monogatari,  an 11th-century Japanese manuscript, systematically and deliberately describes life and intrigues at the imperial court. I composed a modern visual interpretation of the book to honor a much older tradition and see how well it fits current  trends in mathematical reasoning. The result is stunning!

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

A brief review of set partition methodology applied to art. Fifteen exceptional visualizations, along with a short animation,  glossary, and list of references relevant to the theme, contribute to discovering behind an essential but challenging  mathematical theory a dynamic new approach to the artistic and creative process.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#02. Hyperbola | Open Curves

ID

D

Kindle: ASIN B07D69VJZY

Google: UN7A31RRJPU 

Apple: Pending Producer update

Editorial  

Review

A hyperbola is a fascinating geometry figure. The shape has been studied in the history of mathematics since antiquity.  Menaechmus, Euclid, Pappus are some of the names remembered today. One world famous outcome is the sixth century church of Hagia Sophia in Constantinople (parabola). Later, Johannes Kepler asserted that the trajectories of  objects of the universe were ruled by the geometry of ellipses, not circles as it was long thought.”

Jean Constant in this portfolio focuses on Bernie Freidin visualizations to demonstrate brilliantly how inspiring and  extraordinary these shapes can become, complementing the number calculation with the tools of a designer.

Description

This portfolio is a gallery of artwork inspired by the work of mathematician Bernie Freidin. Jean Constant reviews the mathematical visualization of hyperbolas from an artistic perspective to add a new poetic dimension to a form known  and used by scientists and architects in many of their works.  

References and glossary complement the text with valuable information for all interested in exploring further this unique  geometry shape.

From the  

author

A hyperbola is a fascinating geometry figure.

How does one translate a three-dimensional calculation, an ellipse meant to map out a three-dimensional space into a  two-dimensional representation? Sometimes soft and elegant, sometimes demanding, almost chaotic depending on the  mathematics created to compose the figures, I came to realize that it often had to do with the odd sensation of trying to  focus on a single area while the on-going recursion, or mirror image, would still be floating at the edge of my eye, at  times sending confusing or contradictory messages to my brain. Having no other goal than exploring the form itself, I’m  presenting my results as they came complemented with a glossary and the mathematical source reference that inspired  the imaging . I hope you’ll enjoy the visit.

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Exploration of a series of geometry figures outlined by mathematician Bernie Freidin and complemented by references  and notes relating to each individual shape.  

The Kindle version is black and white only. Full-color versions are available on the AppleStore. Still, as the author noted,  each visualization, whether monochrome or color, has a distinct originality that brings up unique forms and emphasizes  different aspects of the geometry depending on the light or the color scheme that makes the experience memorable and  worth visiting.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

#01. Conformal Maps

ID

D

Kindle: ASIN B07CYZH43L

Google GGKEY: 4DY4NA6E3AN

Apple ID: 1384132673

Editorial  

Review

The language of mathematics is sometimes disconcerting for those among us who are not practitioners of the discipline.  In 20 illustrations, Jean Constant’s creative imagination leads us into the world of abstract geometry, using this singular  mathematical form invaluable for solving problems in engineering and physics but rarely explored from an artistic  perspective.

The full color portfolio is available as an AppleBook. However, the monochrome Kindle version highlights the richness of  a black and white environment where light is the only brush exploring  the strangeness and captivating beauty of  this shape.

Description

Exploration of a conformal map in 20 visualizations that redefine the connection between mathematics and art.  

The language of mathematics is sometimes disconcerting for those among us who are not practitioners of the discipline.  In 20 illustrations, Jean Constant’s creative imagination leads us into the world of abstract geometry, using this singular  mathematical form invaluable for solving problems in engineering and physics but rarely explored from an artistic  perspective.

The author complements the gallery with additional information and references relating to the scientific study of the form,  making this book an exciting and educational example of inspiring collaboration between mathematics and art.

From the  

author

I am not a trained mathematician.

As you will discover with me in the gallery section of the book, this elegant and complex shape is a trove of unending  fascination from a visual and artistic perspective.

My interest in this series was not so much to focus on the mathematical elegance of the function but to bring this unique  abstract form into a larger context, calling unexpected but very real cultural or historical references. The original conformal map series was created in 2009 and I revisited it several times as technology evolves and  improves. The images are composite layers that incorporate 2D graphics editors and 3D modeling programs.

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Twenty illustrations of a conformal map that redefine the interconnection of mathematics and art. The author  complements the gallery with additional information and references relating to the scientific study of the form, making  this book an exciting and educational example of inspiring collaboration between mathematics and art.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

Other collections

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Category

Title

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52 Grains of Sand

ID

P

Kindle: ASIN 1388881535 | 1367534534

Google: Only printed format

Apple: Only printed format

 

Hardcover/Paperback: ISBN-13: 978-1388881535 | 978-1367534537

Editorial  

Review

This series's title outlines the project's goal: a visual exploration of the geometry of 12 categories of minerals over 52  weeks, one mineral a week, one image a day. Sand, or silicate, constitutes most of the Earth's crust and comprises finely  divided quartz mineral particles. All minerals are identified by a unique geometry that provides an exceptional source of  inspiration for artistic visualizations. The 365 creative illustrations, complemented with notes, descriptions, and  references, provide an outstanding window of exploration of the multiple aspects of the mineral world from an artistic  standpoint.

Description

Fifty-two grains of sand – a blend of Mathematics, Applied Sciences, and Art based on one image a day, one mineral a  week, for fifty-two weeks, Jan. 1st – Dec. 31st, 2017. Each image originated in a selection of scientific files hosted by the  UA Department of Geoscience at the University of Arizona in Tucson. The images extracted with the VESTA software  were finalized in various 2D and 3D graphics editors. The book, along with notes and technical references, includes a  published article describing the steps that went into the art-making process. and each mineral's technical reference used  to compose the images.

From the  

author

The idea for this project originated in a short educational program on the geometry of minerals published by the Space  Foundation. The program aimed to connect geometry, science, and space exploration to investigate the mathematical  properties of shapes, designs, and structures of existing minerals. The Department of Geosciences at the University of  

Arizona provided me with the resources to explore the various minerals according to their geometry, and the  visualizations were extracted from a 3D modeling program used by the National Museum of Nature and Science in  Ibaraki prefecture, Japan.  

It could have been an art book – no explanation needed. However, I found it useful to include the informal notes taken  during the creative process and the technical references for each crystal. I hope it will help demonstrate that art, like  nature, can be appreciated from many angles.

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Twelve categories of minerals, 52 minerals families, and 365 illustrations that blend accurate scientific description,  geometry, and art. Included notes, technical sources and references that contributed to the making of each design

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

Flower Geometry

ID

D P

Kindle ASIN: 1715813553

Google CGKEY: QKHA94UE5CP 

Apple ID: 1580592208

 

Hardcover/Paperback: ISBN-13: 978-1715813550

Editorial  

Review

 

This 52-flower geometry portfolio illustrates the odd convergence of science and art inspired by flowers' natural beauty.  

It is a visual adventure that will resonate with many who are curious about geometry, art; it will also add to their  appreciation of Nature .  

The notes and references that come with the book provide additional information about how Jean Constant created the  works, a brief description of each flower, and their similarity to specific geometric figures.

Description

Artistic journey through the geometry of flowers, inspired by Keith Critchlow's book The Hidden Geometry of Flowers and  produced with the help of software written by Tomáš Keber. These fifty-two unique interpretations of the geometry of 52  flowers connect nature and science through art. Notes and references sustain each visualization, allowing the reader to  follow the creative process and reevaluate the close connection between our environment and the science that explores  it.

From the  

author

This 52-week (or illustrations) journey is an unusual exploration of the special relationship between Science and Art.  Each week, I collected, investigated, and created a new illustration based on the particular geometry of a flower.  Sometimes, I followed the rhythm of the seasons, sometimes not. As Richard Feynman said in "Ode to the Flower."  Who can better appreciate the beauty of a flower: artists or scientists?

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Discovering how closely mathematics and Nature are interconnected is a fantastic journey of exploration that gives the  reader a new perspective on life, science, and the world around us.

Beyond their natural beauty, flowers have extraordinarily precise mathematical characteristics, which these 52 examples  unveil time and again.

Each artwork can be enjoyed for its unique aesthetic character. However, the book also contains the author's detailed log  and a list of scientific references that add another layer of appreciation for the art and the complexity of Nature's design.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

The 12-30 Project

ID

P

Kindle: Only printed format

Google: Only printed format

Apple: Only printed format

 

Hardcover/Paperback: ISBN-13: 978-1367534537 | ISBN-13: 978-1366892614

Editorial  

Review

Three hundred sixty-five geometry figures in a year-long exploration of 12 different graphics software. This body of work  should not be viewed as a catalog of mathematical shapes as much as a yearlong celebration of unusual aesthetic  compositions using mathematics as inspiration.

A detailed logbook includes how Jean Constant kept track of his observation throughout the project, several of the  formulae and and references the artist used along with the many unexpected emotional or cultural associations that kept  coming as new forms were appearing on his screen.

Description

The 12-30 Project is about the exploration of twelve mathematical visualization programs, one program a month, and one  image a day in each program. The result is a catalog of mathematical shapes as much as a yearlong celebration of  unusual aesthetic compositions using mathematics as a source of inspiration. Included in the book, a detailed log  including personal notes, formulae and references to the sources relevant to both the geometry and the art of each  illustration.

From the  

author

As a designer using multiple graphics editors, I was always curious to see how similar and different they can be.  Geometry because of the purity and consistency of its arrangement was the perfect thread to lead me to a year long  exploration of the weakness and quality that each software contains to visualize mathematical shapes. The result is a  fascinating collection of artworks that are both solidly grounded in science and take an unexpected esthetic dimension  on their own. The notes I added to the gallery will help the reader share this exceptional experience of science from a  unique perspective.

From the  

inside flap

Please check the latest volumes of the MathArt series:

Flower geometry  

Buy on Amazon: 1715813553

Digital Sangaku, Part I  

Buy on Amazon: 1320740472

52 Grains of Sand - Geometry of Nature  

Buy on Amazon: 1388881535

From the  

back cover

12 graphics editors, 52 mathematical illustrations exploring the geometry of shapes from an artistic perspective.  

Adobe PSD, Illustrator, Blender, Rhino among other graphics software have their unique identity, their own signature for  each circle they render. It makes this book an entertaining and visually exciting page turner.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

The 364-1 project

ID

P

Kindle: Only printed format

Google: Only printed format

Apple: Only printed format

 

Hardcover/Paperback: ISBN-13: 978-1367543645

Editorial  

Review

This 364 illustration project illustrates how mathematics and design are closely connected and generate unusual,  unexpected artwork tools in the artistic environment.  

The freestyle progression of a design, starting with the shape of a heptahedron, a polyhedron with seven sides or faces,  can take a surprising number of different basic forms or topologies. The logbook the artist kept throughout the  experiment brings a fresh perspective on how the art came to be and the complex process of an evolving design for  which the only limitation is the graphic that was done the day before.

Description

Free-form graphic evolution of a simple geometry over 365 days. Each plate takes on the latest iteration to explore new  forms and possibilities. The informal logbook included in the book describes in detail the reasoning, design process, and  connections the artist made while working on the evolution of the design. It constitutes an exceptional addition to the  gallery itself. Explaining how each artwork can stand on its own while benefiting from its past progression provides an  intimate window into this unusual artistic undertaking.

From the  

author

This project started out of simple designer’s curiosity. Could I take one design, develop it one step at a time each day  over a one-year span and what would be the result after 364 iterations?

I set up a few simple rules. Each image had to be a progression from the previous image and yet stand on its own as  separate artwork. I would not spend more than an hour a day on each new image and try to avoid repetition as much as  possible. Someone said–rules are meant to be broken! Sometimes, I had to spend much more than an hour on any given  image. Two or three times I must have missed the deadline. I probably repeated myself a few times. I guess since I tried  to work spontaneously on each image and worked without preconceived ideas, it shows all the more clearly how artists  somehow navigate in a unique, self-created way that keeps calling us back when we let the inspiration flow freely.  Throughout this project I kept an informal diary of personal comments relating to the work in progress and confronting  new and unexpected challenges and discoveries. I included it at the end of the gallery

From the  

inside flap

Please check the latest volumes of the MathArt series:

Flower geometry  

Buy on Amazon: 1715813553

Digital Sangaku, Part I  

Buy on Amazon: 1320740472

52 Grains of Sand - Geometry of Nature  

Buy on Amazon: 1388881535

From the  

back cover

Evolution of a simple geometry over 365 days. Starting from a simple geometry shape Jean Constant added each day to  the new shape to take the design in unexpected new territories.

The informal logbook included in the book describes in detail the reasoning, design process, and connections the artist  made while working on the evolution of the design.

Explaining how each artwork both stands on its own while benefiting from its past progression provides an exceptional  window into this unusual artistic undertaking.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

Crystallographism

ID

P

Kindle: Only printed format

Google: Only printed format

Apple: Only printed format

 

Hardcover/Paperback: ISBN-13: 978-1320737920

Editorial  

Review

Crystallography is the study of molecular and crystalline structures. It measures the atomic arrangement of a crystal and  its properties. In crystallography, a crystallographic point group is a set of symmetry operations, like rotations or  reflections, that leave a central point fixed while moving other directions and faces of the crystal to the positions of  features of the same kind.  

The 32-crystallographic point groups system identifies and defines most minerals found in nature. Jean Constant  extracted each point group outline from the system table to create 32 original visualizations.  

This portfolio is composed of a dynamic succession of abstract shapes and colors - that explores symmetry-based  scientific descriptions from an artistic perspective.

While the full-color version of the book is available as an AppleBook, the monochrome, black, and white version on  Kindle reveals unique compositions shaped by light and symmetry.

Description

Artistic representation of the 32-point group symmetry used to identify gems and minerals. A comparative overview of  the groups' geometry outline and the final composition inspired by it completes the gallery portfolio, along with  references relevant to the exploration of crystal symmetry and the 32 font groups. It is an excellent example of how  science data inspires artistic creativity.

From the  

author

At the end of this volume, I inserted the key transformation steps I followed to create each image to highlight how much  artistic activities are indebted to the world of science.  

I hope you will enjoy the result as much as the process that made this project possible.

From the  

inside flap

Please check the latest volumes of the MathArt series:

Flower geometry  

Buy on Amazon: 1715813553

Digital Sangaku, Part I  

Buy on Amazon: 1320740472

52 Grains of Sand - Geometry of Nature  

Buy on Amazon: 1388881535

From the  

back cover

Artistic representation of the 32 post groups symmetry used to identify gems and minerals. A comparative study of the  original outline and the final composition completes the gallery portfolio that, along with the references relevant to the  exploration of crystal symmetries, makes this book an invaluable example of art inspired by science.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

Digital Sangaku (part II)

ID

P

Kindle: Only printed format

Google: Only printed format

Apple: Only printed format

Hardcover/Paperback: ISBN-13: 978-1320740340

Editorial  

Review

Wasan geometry, or traditional Japanese mathematics, flourished during the Edo period. It uniquely expressed itself  through mathematical votive pictures of many sizes and shapes called San-Gaku, on which mathematicians etched new  mathematical problems.

This book is Part II of a selection of Sangaku problems revisited in today's digital environment to highlight the strength  and consistency of geometry in design.  

Along with the problem's central question, a series of thumbnails adjacent to the larger image describe the progression  from outline to finished composition, adding a layer of appreciation for the artwork

Each problem's solution is included at the end of the book.

Jean Constant gives this traditional form of science education a new life from an artistic perspective that demonstrates  vividly the connection between geometry and art.

Description

This book is part II of a series inspired by the Japanese Sangaku tradition during the Edo period.  

Jean Constant explores the geometry of 10 Sangaku from a unique artistic perspective where color replaces words to  guide viewers toward the problem solution. Progressing from the black-and-white problem outline to the color scheme  hinting at the solution and the final composition consolidating the layers in one vibrant image, the artist creates a  captivating and playful example of art and science interconnectivity.

The book also includes each problem's solution and references relevant to the selected example.

From the  

author

It seemed like a natural decision to add to these self-standing art pieces the background in which they originated,  meaning the geometry problem and the progression of the design, including the color scheme to hint at how best to  solve the geometry question.

I first outlined the original Sangaku in one thumbnail, moving to a monochrome surface built to develop shape, volume,  and texture, selecting a unique color scheme, and finally blending all these steps in one final image.

While each image is an original artwork, the progression credits the minds that first devised this fascinating approach to  problem-solving math practiced two centuries ago in Japan.

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Artistic exploration of the unique beauty of Sangaku geometry.  

Each composition progresses from defining the problem, showing the original outline and the color scheme, to  combining the elements in a new image as an art statement and a visual example of a geometry-problem-solving activity.

It is a refreshing and inviting approach to a 200-year-old Japanese tradition, as convincing today as it was then.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

Digital Sangaku (part I)

ID

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Kindle: Only printed format

Google: Only printed format

Apple: Only printed format

 

Hardcover/Paperback: ISBN-13: 978-1320740470

Editorial  

Review

Wasan geometry, or traditional Japanese mathematics, flourished during the Edo period. It uniquely expressed itself  through mathematical votive pictures of many sizes and shapes called San-Gaku, on which mathematicians etched new  mathematical problems.

This book is Part I of a selection of Sangaku problems revisited in today's digital environment to highlight the strength  and consistency of geometry in design. Along with the problem's central question, a series of thumbnails adjacent to the  larger image describe the progression from outline to finished composition. It adds a layer of appreciation for the direct  connection between mathematics reasoning and art. The solution for each problem is included at the end of the book.

Jean Constant achieves to give this traditional form of science education a new life from an artistic perspective that  demonstrates vividly the connection between geometry and art.

Description

Ten plates exploring the esthetics of Sangaku problems geometry from a unique artistic perspective. The progression  from the black & white outline defining the problem to the color scheme hinting at the solution and the final composition  creates a captivating and playful example of art and science interconnectivity.

The book includes the problem-solutions and references relevant to each Sangaku selected for this portfolio.

From the  

author

It seemed like a natural decision to add to these self-standing art pieces the background in which they originated,  meaning the geometry problem and the progression of the design, including the color scheme to hint at how best to  solve the geometry question.

I first outlined the original Sangaku in one thumbnail, moving to a monochrome surface built to develop shape, volume,  and texture, selecting a unique color scheme, and finally blending all these steps in one final image.

While each image is an original artwork, the progression credits the minds that first devised this fascinating approach to  problem-solving math practiced two centuries ago in Japan.

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Artistic exploration of the unique beauty of Sangaku geometry.

Each composition progresses from defining the problem, showing the original outline and the color scheme, to  combining the elements in a new image as an art statement and a visual example of a geometry-problem-solving activity.

This book is a refreshing and inviting approach to a 200-year-old Japanese tradition that is as convincing today as it was  then.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

Three little things

ID

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Kindle - ASIN: 1389236870

Google - GGKEY: R80LZFEBRY2

Apple: Not available

 

Hardcover/Paperback: ISBN-13: 978-1389236877

Editorial  

Review

Year-long diary based on a singular thread - New Year resolution: 

Do three little things for oneself every day. What seems like a simple, pleasant chore becomes increasingly difficult as the  author progresses through the year, trying not to repeat the same routine. 

It drives Jean Constant to open and explore all aspects of his life and work to meet his obligations.  The diary reflects on the multiple facets of an artist's life and the various projects he was involved in throughout the year —a fascinating window into the life of a creative mind.

Description

Year-long diary of an artist guided by a simple thread - do 3 little things for yourself, January 1 to December 31. Trying  not to repeat himself, the artist explores all aspects of his professional and personal life to explore and find new ways to  honor what sounded like a simple, easy challenge to meet at first.

The casual and informal writing makes it pleasurable to read about or reflect on similar adventures we all go through  daily. More than entertaining, the recurring message of the book invites us to look at life with an open lighthearted spirit.

From the  

author

This project started almost as a fluke. I was coming out of a 1-image-a-day project testing various graphics software, and  I wanted to keep that rhythm in my daily routine for the upcoming year. 

I was a little “imaged-out,” but then I stumbled into one of these “New Year resolution” advice newspapers and  magazines posted at that time. “Do 3 little things for yourself next year, and you’ll feel great all year,” it said. So I said to  myself — why not!  

And here I am, a year later — reviewing my feel-good doings log for the entire year! 

This book is not meant to be read like a regular diary, which it is not. Nor is it meant to be read chronologically from  beginning to end. Being a simple log of my daily travail trying to do three feel-good things each day for a year, if  somewhere along the way, someone opens it on, say, May 21 or June 5, and it helps make them feel better that day, it  will have made my effort putting these notes together well worth it. 

We are not all that different, after all.

From the  

inside flap

Please check the latest volumes of the MathArt series:  

• Minimal Surfaces Part I  

Buy on Amazon: B0B93TLL8T

• Stochastic Art  

Buy on Amazon: 046400506X

• The 12-30 project  

Buy on Amazon: 1366892615

From the  

back cover

Fun and lighthearted diary of a person caught in a New Year resolution: do three little things for yourself. It may sound  simple enough, but as we can see in the pages, it takes major thinking, planning, and creativity to carry the challenge for  an entire year without repeating the same feel-good thing every day.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.

Journey of the Mind

ID

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Hardcover/Paperback: ISBN-13: (not available)

Editorial  

Review

A mere coincidence or intriguing synchronicity, the author, Jean Constant, recorded an uncommon mirror activity  between two friends following their schedule halfway around the world, not even communicating or knowing what the  other was doing at any given time.

The premises are an archeological journey on the Eastern coast of the Aegean Sea and an ongoing investigation of  graphics software for a New Mexico university.  

The well-chosen illustrations help make the case and create an atmosphere of adventure, real and virtual. The  lightheartedness of the text contributes to the making of this singular visual diary that takes us from Mediterranean antic  cultures to the modern world of mathematics and digital technology.

Description

Excerpt from the 12-30 project book, unexpectedly revealing the subconscious connection between two people  separated by an ocean and cultures of distant past. This short volume combines the images created for a mathematics  and art project, places around the Aegean Sea, and the many unexplainable coincidences that influence the creative  process.

From the  

author

Sometimes, coincidences in life are so exceptional that they deserve to be celebrated and shared.  

The project I had been commissioned for since the beginning of the year required me to explore 12 different  mathematical visualization programs over one year and post a new image daily on a dedicated website.  

The program I was working on in April involved Knot theory. In May, I started exploring a complex set of geometry  software created by mathematician and Mac Arthur fellow Jeff Weeks. Quite a long way from the Bosphorus and the  delicious meze one is expected to enjoy in that part of the world. Yet, the subconscious connection between my friend  traveling these distant shores and the work I was doing in my studio was so intense and unexpected that I felt I had to  share it. Maybe there is more to life than we perceive on the surface, and that short journey could stand as another  example of the multiple levels of perception we may or may not be aware of.

From the  

inside flap

Please check the latest volumes of the MathArt series:

Flower geometry  

Buy on Amazon: 1715813553

Digital Sangaku, Part I  

Buy on Amazon: 1320740472

52 Grains of Sand - Geometry of Nature  

Buy on Amazon: 1388881535

From the  

back cover

Fascinating intersection of art and subconscious connection between two individuals separated by an ocean but joined  in an unplanned creative journey.  

The art composed for a different project matches almost perfectly the shapes and cultural references one of the  collaborators was experiencing in real-time.  

As much art as culture and storytelling, this book underlines the privileged connection people carry with each other  without being aware of.

About the  author

Jean Constant is well-known for his experimental and abstract art, which frequently examines the limits between  technology and the arts. In addition to being an artist who explores the complex relationship between mathematics and  abstract beauty, he is a Google Scholar publishing books and articles on his work, visual communication, and  mathematics and art collaboration.

Constant frequently produces thought-provoking and challenging work. He has received recognition as an artist for his  creativity and ability to connect the worlds of science and art. He is a leading figure in mathematical art, inspiring many  other artists and scientists. With shows at prominent galleries and museums throughout the world, such as the Centre  

Pompidou in Paris and the Museum of Modern Art in New York City, Constant's work has received widespread  recognition and has been featured in a number of well-known publications including The New York Times, Wired, and  Scientific American. He has given lectures at several research institutes, colleges, and universities throughout the world.  

He draws influence from the rich tapestry of art history. Figures such as M. C. Escher, Salvador Dalí, and Wassily  Kandinsky left an indelible mark on his design preferences and artistic journey.

Jean Constant is represented by SaatchiArt, which features an extensive online portfolio of the original works he created  for the Math-Art series and that are available for sale in medium and large formats.