Mausoleum of Barquq, Cairo

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 15°.
• Contains one regular three-pointed star polygon with vertex angle of 105°.
• Contains one regular octagon.
• Contains one regular 12-pointed star polygon with vertex angle of 75°.
• There are 6 non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 485 polygons.

1. Figure 249 (Barquq, Cairo, Egypt) of Martin S. Briggs. Muhammadan architecture in Egypt and Palestin, Oxford, Clarendon Press, Pressmark 32.F.79, 1924. [briggs] {255p}

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