Bourgoin, Plate 108

The actual source of this pattern is shown in Qaytbay mosque.

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 1.66 (π/108)°.
• Contains one regular 6-pointed star polygon with vertex angle of 73.33 (11π/27)°.
• Contains one regular 9-pointed star polygon with vertex angle of 80°.
• There are 7 non-regular reflective tiles (including one kite).
• 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 452 polygons.

1. Photo by David Wade: EGY 1405 (Qaytbay, Cairo, Egypt) from [wadei] (1474AD, 878AH)
2. Vol 2, Figure 191 (Qaytbay, Cairo, Egypt. Minbar) from [wahhab] (1474AD, 878AH)
3. Page 190 from [abas]
4. Page 467, Figure 4 (Rather less regular than Bourgoin) from [calvert]
5. Plate 108 (No source known of this pattern as drawn) from [bourgoin]
6. Qaytbay mosque is the source, P l28 (hence this is incorrectly drawn) from [bour0]

• Wade photo BOU 108
• Wade photo EGY 1405

• Tilings not constructible by straightedge and compass

v54