This image is made from a single, deformed self-replicating heptahex, a supertile of 7 hexagons. It can be seen in the lower right corner of the image. At each of the six iterations the heptahex grows with a factor of seven. All shapes of a lower number of iterations remain visible during the iteration process.
The heptahexes are not all connected, and a "lake" appears in the third iteration island. The fourth iteration contains six heptahex lakes and one larger lake from iteration 2. And in the fifth iteration, the lake from iteration 3 has a heptahex island! Finally, the sixth iteration contains a lake and islands from iteration 4.
The middle hexagon of the heptahex is considered the parent and hence has a different color according to the rainbow color scheme: the oldest hexagon is purple and the youngest one is red.
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…