Venn diagrams are everywhere, from kindergartens to executive boardrooms. All agree they're the best way to communicate, yet you seldom see them in the visual arts! It will be my 52-illustration project for 2024 – 1 diagram a week every week till Dec.31.

Venn diagrams

Part of a 52-illustration research project on prime numbers and the interconnectivity of mathematics and art. The complete digital catalog with notes, comments, and references is available in B&W on Kindle and in color at the Apple store.

Prime Numbers

Selection from a 52 week, 52 illustration exploration of H. Coxeter surfaces. Coxeter was a giant of mathematics. He was instrumental in many discoveries in the field of geometry , computer sciences and opened the door to the  4th & higher dimension in mathematics, science - and art.

Polyverse

Geometry. Mathematical objects. Math&Art visualization.

Mathematics and Art

Knot geometry. This portfolio is part of a 52-illustrations/52 weeks project based on circling the globe on the equator line, 400-some (nautical) knots a week, inspired by mathematics, cultures, and history. The complete project, including weekly map updates, the 52 mathematical knots and, their interpretation as an art form is available @http://bit.ly/knotgeometry

Knot Geometry

Part of a larger project exploring the relationship between  mathematics and Nature. The first part focused on the geometry of minerals, this part is a visual journey that celebrates the many connections between the organic world and the findings of complex, abstract sciences throughout history. The project, including 52 illustrations, a logbook, and references is now available @http://bit.ly/FlowerGeometry

Flower geometry

Stochastic is often defined in terms of randomness. Some suggest it's letting the pigment or the medium take over the creative process. Like musicians, I’d rather set up a stage where randomness happens when viewing the artwork. More challenging technically, but very satisfying when from morning to evening from happiness to sadness the artwork and its details keep changing depending on the viewer mood or energy level.
The project, including 52 illustrations, a logbook & background references is now available @http://bit.ly/StochasticArt

Stochastic Art

52 grains of sand. A blend of Mathematics, Applied Sciences, and Art. 52 weeks, 1 crystal/quartz a week, 7 iterations per week, Jan 1st -Dec 31st, 2017.  Each image originates from a database managed by the Department of Geoscience at the UofA, Tucson. I  process the resource info in the VESTA software and finalize it with various 2D and 3D graphic editors. 
The project, including 52 illustrations, a logbook & background references is now available @http://bit.ly/CrystalGeomerty

Geometry of Nature

Various image inspired by Science, the geometry of nature, and other science and art collaborative projects I have been involved in

Science and Art

Art not directly related to my other collections

Random collection

Mikhail Bongard is a Russian scientist who developed a rational to approach complex problems of logic reasoning and visualization. His research compiled in a 1967 book called “Pattern recognition” contains numerous black and white line drawing examples of his observation. 
It has been a pleasant source of inspiration for me as it brings together the basic visual communication concepts - line -shape-color into playful visualizations.
The first series I worked on was actually on canvas in the mid 1980’s. I perfected several templates on electronic canvas with various graphic editors, in 2002- 2008 an 2012. This series is from the latest iteration. Each plate is available separately on request.

Pattern recognition

Optical illusion based on geometry and color perception

Optical illusion

The art of the infinitely small! Scientist C.Orfescu technical imaging introduced me to the world of nano biology. I discovered a parallel universe as rich and complex as the one we experience every day. Chaos and fractal theories state that systems are similar regardless of their size. I found all kind of connection and correlation with our environment while exploring an environment the mind can't fathom and the eye can’t see or comprehend without the support of sophisticated new technologies.

Nano Art

This project is a visual diary that I started out of curiosity. I have been producing many images for many reasons over the years. Could I take one design, develop it one step at the time each day over a one-year span and what would come out of it after 364 iterations? The project was completed Dec 31st, 2014.
A printed edition with text & references is available at Amazon.com at https://www.amazon.com/Jean-Constant/e/B01MF7MLS0  All 365 images from the book are all available for print. I f you don’t see the ones you’re looking for, contact the artists for further information. Thank you

The 364-1 project

San-Gaku were illustrations of mathematical problems created in Japan in the 1700s and 1800s century during the Edo period

This collection is a selection of some problems I revisited in today’s digital environment. In the printed version -  Digital Sangaku part I and Digital Sangaku part II -  I outline the geometry problem, describe the process by which I create the visualization and reference the mathematical solution of the problem. 

Both books are available at Amazon.com at https://www.amazon.com/Jean-Constant/e/B01MF7MLS0

All the illustrations in the books are available for print. Contact the artist for further information.


Digital sangaku

The 12-30 project follows on the 364-1 project completed in 2014.
The framework: 12 mathematical visualization programs, 1 program a month, and one image a day in each program. 
The project report, including the 365 illustrations, a logbook & background references is now available @http://bit.ly/MathematicalArt

Jean Constant