Figure 2.0.1, Tiling by Kepler
data146/F201
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Geometry
- The symmetry group of the tiling is *5• (d5).
- All the internal angles of the constituent polygons are a multiple of 36°.
- Contains 16 regular pentagons.
- Contains five regular decagons.
- Contains 9 regular five-pointed star polygons with vertex angle of 36°.
- There is one non-regular reflective tile.
- The tiling is edge-to-edge.
- As drawn, contains about 719 polygons.
References
Publications referenced:
- Page 57 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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