The details of the construction of this tiling are in Constructing a thin 4.5.20 tiling. The tiling definition is below. The coloured tiling image appears chaotic but as you can see it the black and white version and in the two chapters on constructing the tiling and on some interesting features of the thin patch, it has a striking mixture of chaos and order.
A part of this tiling is used as the header image for this site.
Translational unit
Legend
Skeleton tiling
Tiling (black and white)
Translational unit (black and white)
