Shir Dar madrasah, Samarkand

This computer graphic has been produced from a simple analysis and has failed to capture aspects of the original. Specifically, the white hexagonal area should be nearly regular.

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 3.75°.
• Contains one regular 8-pointed star polygon with vertex angle of 45°.
• Contains one regular 16-pointed star polygon with vertex angle of 60°.
• There are four non-regular reflective tiles and one reflective pair.
• The tiling satisfies the interlace condition and has two finite interlaces and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 1223 polygons.

1. Photo by David Wade: TRA 0601 (Shir Dar madrasah, Samarkand, Central Asia) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}(1636AD, 1045AH)
2. Flickr photo (Shir Dar madrasah, Samarkand, Central Asia) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

• Wade photo TRA 0601

• Stars with 16 points with vertex angle not equal to 45°

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