An example of an old masterpiece
data199/SHAF32
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Geometry
- The symmetry group of the tiling is 2*22 (cmm).
- All the internal angles of the constituent polygons are a multiple of 36°.
- Contains four regular pentagons.
- Contains one regular 10-pointed star polygon with vertex angle of 108°.
- There are five non-regular reflective tiles (including one kite).
- The tiling satisfies the two-colour condition.
- The tiling is not edge-to-edge.
- As drawn, contains about 428 polygons.
References
Publications referenced:
- Fig 12.12c of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
- Page 21 (An example of an old masterpiece - the rest is the description of the design) of Javad Shafai. On decoration in Persian architecture and wood carving, Tehran, 1977. [shafai] {In Persian}
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