This tessellation is based on the space-filling Gosper curve. To each edge corresponds a pentagon, in fact a degenerated hexagon, since 2 edges are in line with each other. An artistic impression is made of the flood filled Gosper curve after closing it by connecting the beginpoint and endpoint. The inspiration of this tessellation comes from the artwork Flow Fish III, made by Richard Hassell. I am very amazed how that artwork is designed, and it took me quite a while to unravel it. The shapes of the 3 pentagons underlying the image are different. On the other hand all fish tiles have the same shape. This has been realized by adding two vertices to each pentagon, yielding 3 (degenerated) octagons as basic shapes. Deforming the two independent edges is not straightforward to maintain the same shapes: one of the edges can only be deformed symmetrical about the perpendicular between its vertices.
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…