This Ammann A3 tiling is a nonperiodic tiling of three deformed prototiles. In each of the 9 iteration steps a tile is substituted by 2, 3, or 4 other child prototiles. The smallest tile has 6 child tiles, the middle tile has 2 child tiles, and the largest tile has only 1 child tile. Therefore, the smallest tile has 6 colors (red/yellow/etc), the middle tile 2 colors (green/cyan), and the largest tile is blue.
As far as I know, this image is the very first in the world with a deformed Ammann A3 tiling.
My training as a mathematician and my experience as a software programmer are the basic elements for designing my works of art. Since my retirement in 2019 I have started creating digital art with a mathematical slant. The works of M.C. Escher are a source of inspiration. Thanks to programs.. Read more…