Faraj ibn Barquq stone minbar

This pattern is rather irregular which can be produced in a number of ways - the version here uses regular pentagons.

• The symmetry group of the tiling is 4*2 (p4g).
• All the internal angles of the constituent polygons are a multiple of 1.5°.
• Contains four regular pentagons.
• Contains two regular octagons.
• Contains one regular 6-pointed star polygon with vertex angle of 60°.
• Contains one regular 12-pointed star polygon with vertex angle of 78°.
• There are 8 non-regular reflective tiles (including 2 kites) and two reflective pairs.
• The tiling satisfies the interlace condition and has one finite interlace and one infinite interlace with non-straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 346 polygons.

1. Photo from Ayman Soliman (Faraj ibn Barquq Mosque, Cairo, Egypt. Stone minbar) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

v54