Istanbul Topkapi Palace

• The symmetry group of the tiling is *2222 (pmm).
• All the internal angles of the constituent polygons are a multiple of 36°.
• Contains 18 regular two-pointed star polygons with vertex angle of 72°.
• Contains 30 regular pentagons.
• Contains two regular 10-pointed star polygons with vertex angle of 72°.
• There are 11 non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has 8 finite interlaces and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 1085 polygons.

1. Dick Osseman photo (Topkapi Palace, Istanbul, Turkey) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]
2. Fig 12.12b of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}

• First Decagonal motif

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