Figure 2.5.11, A tiling due to Kepler

• The tiling has no symmetry group and hence is not a repeat pattern.
• All the internal angles of the constituent polygons are a multiple of 36°.
• Contains three regular pentagons.
• Contains five regular 10-pointed star polygons with vertex angle of 72°.
• There are two non-regular reflective tiles.
• The tiling is not edge-to-edge.
• As drawn, contains about 975 polygons.

• Page 90 of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}

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