Bourgoin, Plate 64

• 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 octagon.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There are two non-regular reflective tiles.
• 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 239 polygons.

1. From Tony Lee (Rey Madrasah, Tehran Museum, Iran. Panel) from [pc] (12th century AD)
2. Photo by David Wade: TUR 0626 (Sari Han, Akseray-Kayseri road, Turkey) from [wadei] (1249AD, 646AH)
3. From Thesaurus Islamicus M97P0444 (al-Azhar mosque, Cairo, Egypt. Under inscription) from [pc] (1474AD, 878AH)
4. Page 244 from [abas]
5. Plate 12, Figure 22 (Rey, Tehran Museum, Iran. Carved stucco) from [elsaid]
6. Plate 64 from [bourgoin]

• Wade photo BOU 064
• Wade photo TUR 0626

• Tiling whose tile angles are a multiple of 45° and whose lengths are p+q*sqrt(2).

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