Ceiling, Amir Bashtak Palace, Cairo

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains three regular octagons.
• Contains one regular four-pointed star polygon with vertex angle of 45°.
• There are two non-regular reflective tiles.
• The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces.
• The tiling is edge-to-edge.
• As drawn, contains about 141 polygons.

• Photo ICR0253 (Creswell Archive, Arcnet, B & W print) of Not specific. Personal Communication, Information sent to the author, 21 century . [pc]

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