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 (including one kite) and one reflective pair.
• The tiling satisfies the interlace condition and has one finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 473 polygons.

1. Vol 2, Figure 151 (Abd al-Ghani al-Fakhri mosque, Cairo, Egypt. Doors of minbar) from [wahhab] (1418AD, 821AH)
2. Page 190 from [critchlow]
3. Page 321 and Page 327 from [abas]
4. Plate 167 from [bourgoin]
5. Plate 68 (Cairo, Egypt. Panel of a ceiling) from [collin]

• Wade photo BOU 167
• Wade photo EPC 085

• Tilings not constructible by straightedge and compass

Photo?

v54