Jan 1st, 2017

The 12-30 project is entering a new phase – moving images!

4 cinemagraphs I selected for a new project next year. I saved that one for this blog:

An “infinite loop” shower of golden snowflakes for all in 2017!


Jan 6,2016


The 12-30 project will continue with a life of its own this time. I’ll keep posting images as they come – when they are included in real-time exhibitions. The original (large files) will be printed 18×18 or 24×24 on aluminum or linen canvas depending on the venue and the image.

This one (#150 in the project) is part of an exhibit of my work at the JMM conference in Seattle, Jan 6-9.


December 26 – 360

MathMod & Morenaments. “Night in Russia”. A Chagall-like shape coming out of a double twist Neovius torus. After an original template by A.Taha.
Background: A pmm symmetry. The sixth symmetry consists of two perpendicular reflections It produces a “double mirror” patterns (pmm)


December 25 – 359

MathMod & Morenaments. The dervish surface is an algebraic surface related to the Togliatti quantic. I reworked the parameters with the number 18 – a very significant number in the Sufi culture.
Background: P31m symmetry. This symmetry group is part of a series of tiling based on the p3 tiling used in many ancient cultures.


December 24 – 358

MathMod & Morenaments. Linoid rewritten as an Egyptian fraction. The lidinoid is a triply periodic minimal surface named after Swedish mathematician & chemist Sven Lidin. The 3D brick, curiously takes on a tiling pattern.
Background: Pmm symmetry. It consists of two perpendicular reflections. characterized by reflections in perpendicular mirrors and produces “Double mirror” patterns (pmm patterns).


December 15. – 349

MathMod & Morenaments. The Dini’s surface, named after Italian mathematician U. Dini, is a surface with constant negative curvature, It is created by twisting a pseudosphere.
Background: P4 symmetry. A p4 tiling is symmetric under two- and four-fold rotations.



December 8. – 342

MathMod & Morenaments. Breske-novic. The maximum number of nodes on a surface of degree 9 is still unknown… Sonja Breske found this variant of the Chmutov’s surface while writing her thesis. I slightly altered the configuration by inserting a Fibonacci sequence in the first segment of the equation.
Background. P4g symmetry tiling. P4g symmetry is characterized by reflections and both 90° and 180° rotations. It can be found in ancient oriental cultures as well as in several of Escher’s sketches.