This pattern is formed arraying five non-regular pentagons on four sides of a square. The tips of these four pentagons define another square which is the base of this tiling.
Playing with the variables, some sub-patterns appear. Looking carefully, you can as well see demiregular tiling of irregular decagons.
Pattern with the point attractor
Mapping onto a sphere
ghx files
5_4
5_4 point attractor
5_4 hyperbolic
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