Sangaku are geometrical problems carved on wooden tablets. They were very popular in Japan during the Edo period (1603-1867) but the tradition got all but forgotten until recently as a renewed interest by mathematicians and scholars brought them back to the public attention. This book includes over 60 illustrations inspired by original Sangaku problems and focuses on the aesthetic appeal of this exceptional and unique demonstration of universal geometry principles. The images in this book are available, large format, @ http://bit.ly/JCArtGallery

A 52-illustration, notes, and references book exploring the geometry of H. Coxeter surfaces. Coxeter was instrumental in many discoveries in the field of geometry and computer sciences. He opened the door to the 4th dimension to all studying higher spaces. Exploring these groups has some practical applications in mineralogy, architecture, linear programming, and other areas; mostly, people enjoy contemplating the figures because of their symmetrical shapes and aesthetic appeal. For artists, it is a limitless trove of inspiration. This illustrated book results from some of the most striking Coxeter examples of geometry in higher dimensions.

This book is a 52-week, one image a week for a year project. It explores various visual data scientists use to understand and interpret randomness, such as mathematics, statistics, biology and coding. The author’s intent is to provide an alternative esthetic interpretation of this elusive part of our environment that all can enjoy with or without a scientific background. Project log, background notes, and references included.

Volume 12 of the Math-Art series. This 3-part book is a visual exploration of knot geometry and ethnomathematics to celebrate the similarities between abstract geometry and unique cultures worldwide. Starting at latitude 0º, longitude 0º, the author set sail (virtually) westward at an average of 400 (nautical) knots a week to fully cover its circumference and explore 1 new knot each week for an entire year. Part I is the art portfolio extracted from the geometry models, part II is a detailed record of the original geometry used to create the artwork, and part III is the weekly wind map log showing the project’s positioning, actual winds, and currents in real-time. Each book includes 52 illustrations, notes, and references.

22 original artworks inspired by M. Bongard pattern recognition diagrams and a multimedia file animating the recognition process. Bongard’s methodology familiar to cognitive science, deep learning and AI technology, proves also to be a gratifying source of inspiration for art and visual composition. The images in this book are available, large format, @ http://bit.ly/JCArtGallery

Volume 12 of the Math-Art series. This 3-part book is a visual exploration of knot geometry and ethnomathematics to celebrate the similarities between abstract geometry and unique cultures worldwide. Starting at latitude 0º, longitude 0º, the author set sail (virtually) westward at an average of 400 (nautical) knots a week to fully cover its circumference and explore 1 new knot each week for an entire year. Part I is the art portfolio extracted from the geometry models, part II is a detailed record of the original geometry used to create the artwork, and part III is the weekly wind map log showing the project’s positioning, actual winds, and currents in real-time. Each book includes 52 illustrations, notes, and references.