An example of an old masterpiece

• The symmetry group of the tiling is 2*22 (cmm).
• All the internal angles of the constituent polygons are a multiple of 36°.
• Contains two 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.

1. Fig 12.12c of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
2. 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}

v54