The underlying structure of this tessellation is the well-known Gosper space-filling curve. The recently discovered Escheresque deformation scheme of the tiles makes it easy to follow this curve, and any other such curve in a hexagonal grid. Three prototiles filled with fish are used: one for going straight (orange), one for turning 60 degrees left or right (greenish), and one for turning 120 degrees left or right (bluish).
This image has been presented at the Bridges MathArt 2025 conference in Eindhoven. It has three iterations of edge replacement.
Created by Tis Veugen with support from AI.
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…