Bourgoin, Plate 136

A related pattern is Mosque of Qijmas Al-Ishaqi, Cairo, Egypt.

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 2.5°.
• Contains one regular 9-pointed star polygon with vertex angle of 80°.
• Contains one regular 18-pointed star polygon with vertex angle of 60°.
• There are 7 non-regular reflective tiles (including 2 kites) and two reflective pairs.
• 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 432 polygons.

1. Fig 7.3c from [ww]
2. Page 218 from [abas]
3. Photo by Ayman Soliman (al-Suhaymi House, Cairo, Egypt) from [pc]
4. Plate 136 (Drawn so that octagons are not regular) from [bourgoin]

• Wade photo BOU 136

• Tilings not constructible by straightedge and compass

v54