The Math-Art series, August update

“The Quaste quandary”, vol. nº 8 of the Math-Art series, is now available on the iBook store @http://bit.ly/JCDigitalBooks , GoogleBooks @http://bit.ly/JCGBooks . A black&white version is also available on Kindle @http://bit.ly/JCPublishing

This book, as well as vol. nº 7, “The Mathematical Surfer”,  features some of the works I produced at the beginning of the 12-30 project, month of January.

quastepr

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Math-Art series, July update

“Boy singular surfaces” –  Math Art series, vol. 6,  is now available on the AppleStore and on GoogleBooks. A black and white version is also available on Amazon-Kindle.

PR950

Update 10, 2016

I was preparing some artwork  (The 12-30 project, #211 – July 30 ) for an upcoming exhibit and I clicked the emboss filter – almost by accident. And here it popped up – a next to perfect representation of a (topological) 4D perspective of a Klein bottle – from the outside looking in. Thanks @Mathematica, and thanks #Richard Bennigan for the original script.

k-950

090

03-31

March 31 – 090

KnotPlot. Satellite knot.

In mathematics, a knot is an embedding of a circle in 3-dimensional Euclidean space. Knots have been part of our scientific and cultural exploration of the world since prehistorical times – in China as well as in the Celtic world. The first mathematical theory of knots dates back to the 18th century. Today knot theory extends from the study of DNA to quantum computing.

KnotPlot is an OpenGL program that has a database of more than 3,000 knots. After scripting in ContextFree all of March, I will explore this new graphic environment for the entire month of April.

021

01-21

Jan 21 -021. Surfer – Barth Sextic #1

Moving to the third series of images extracted from the Surfer program.The Barth sextic is a surface of degree 6 (sextic). It was defined by mathematician Wolf Barth in 1966 and is composed of 65 singularities.

A 1.00 zoom 0.45

45((a(51+sqrt(55))/1)^5x^12-1y^2)((a(1+sqrt(5))/2)^2y^2-1z^2)((a(1+sqrt(5))/2)^2z^2-1x^2)-1(1+2(a(1+sqrt(5))/2))(x^2+y^2+z^2-1*1)^2