al-Rifa'i, West hall door

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 1.5°.
• Contains one regular pentagon.
• Contains one regular octagon.
• Contains one regular 8-pointed star polygon with vertex angle of 60°.
• There are 7 non-regular reflective tiles (including 2 kites).
• The tiling satisfies the interlace condition and has four finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 249 polygons.

1. Internet photo Thesaurus Islamicus (al-Rifa'i mosque, Cairo, Egypt. West hall, west wall of mausoleum of Sheik Ali Abu Shibak, lower detail of door) of Not specific. Personal Communication, Information sent to the author, 21c. [pc] (1869-1910AD, 1286-1328AH)
2. Photo by Ayman Soliman (al-Rifa'i mosque, Cairo, Egypt) of Not specific. Personal Communication, Information sent to the author, 21c. [pc] (1869-1910AD, 1286-1328AH)
3. Fig 11.7a of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}

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