Modern Sangaku

Sangaku are geometrical problems carved on wooden tablets. They were very popular in Japan during the Edo period (1603-1867).

Sangaku was the theme for the 12-30 project, month of November. I compiled the entire series with additional artworks inspired by the Sangaku tradition in one volume including over 60 illustrations, the original geometry they originated from, along with their mathematical description and possible solution

The book is now available in electronic format on the iBook store, GoogleBook, and Kindle. The individual images, large size print on canvas on SaatchiArt.

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July 23 – 204

Mathematica 10.1. Multiplication Tables for the Group of Integers Modulo n. Modulo are natural numbers in which all integers having the same remainder are considered equivalent: Euclid set the foundation of modular arithmetic in the third century BC. C. F. Gauss developed the modern approach to modular arithmetic in the early 1800s. Modular arithmetic permeates the fields of number theory, group theory, knot theory, abstract algebra, cryptography, computer science and even the visual and musical arts. From a script by Jaime Rangel-Mondragon.

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June 28 – 179

Rhino 5.0. In geometry, when the angles opposite the equal sides of an isosceles triangle are themselves equal, the figure is known as the pons asinorum, (Latin for “bridge of donkeys”!) This statement, Proposition 5 of Book 1 in Euclid’s Elements, and is also known as the isosceles triangle theorem. Pons Asinorum is also the name given to a particular configuration of a Rubik’s Cube and used as a metaphor for finding the middle term of a syllogism.