Nur al-Din Bimaristan

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one regular four-pointed star polygon with vertex angle of 45°.
• Contains one regular 8-pointed star polygon with vertex angle of 45°.
• There are five non-regular reflective tiles (including 2 kites) and one reflective pair.
• The tiling satisfies the interlace condition and has two finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 227 polygons.

1. Figure 5, page 10 (Nur al-Din Bimaristan, Damascus, Syria. Stucco window) of E Herzfeld. Damascus: Studies in Architecture: I, Ars Islamica Vol9, pp1-53, 1942. [herzfeld2] {} Copyright controlled copy on Internet.

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