Bourgoin, Plate 75 (corrected)

A clear photo of Mosque of Abd al-Gani al-Fakhri has resulted in producing a pattern significantly different from that of Bourgoin.

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 1.25°.
• Contains one regular three-pointed star polygon with vertex angle of 112.5°.
• Contains one regular 12-pointed star polygon with vertex angle of 52.5°.
• There are 6 non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace with non-straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 351 polygons.

1. Vol2, Figure 151, p101 (Abd al-Ghani al-Fakhri mosque, Cairo, Egypt. minbar, top pattern at sides of canopy) of Hasan `Abd-al-Wahhab. Tarikh al-masajid al-athariyah, Cairo, 2 vols in Arabic, 1946. [wahhab] {The History of ancient Egyptian mosques}(1418AD, 821AH)
2. Fig 13.6a of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}

• Wade photo BOU 075

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