Bourgoin, Plate 167

For an alternative version of this pattern, see Variant of Bourgoin Plate 167.

• The symmetry group of the tiling is 2*22 (cmm).
• All the internal angles of the constituent polygons are a multiple of 25.71 (π/7)°.
• Contains two regular heptagons.
• Contains one regular 7-pointed star polygon with vertex angle of 77.14 (3π/7)°.
• Contains one regular 14-pointed star polygon with vertex angle of 51.42 (2π/7)°.
• There are 7 non-regular reflective tiles and one reflective pair.
• The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace.
• The tiling is edge-to-edge.
• As drawn, contains about 400 polygons.

• Vol 2, Figure 151 (Cairo: doors of minbar, mosque 'Abd al-Gani al-Fakhri, Egypt) from [wahhab]
• Plate 167 from [bourgoin]
• Page 190 from [critchlow]
• Page 321 and Page 327 from [abas]

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• Wade photo BOU 167

• Tilings not constructible by straightedge and compass

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