Topkapi Palace door

• The symmetry group of the tiling is *2222 (pmm).
• All the internal angles of the constituent polygons are a multiple of 36°.
• Contains 12 regular two-pointed star polygons with vertex angle of 72°.
• Contains 20 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 7 finite interlaces and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 993 polygons.

1. Page 160, Fig 5.94 (Topkapi Palace, Istanbul, Turkey. Door) of Eric Broug. Islamic Geometric Design, Thames and Hudson, 2013. ISBN 978050051695. [broug2] {Many excellent photos}

• Second Decagonal motif

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