Abu Bakr Muzhir

• The symmetry group of the tiling is 2*22 (cmm).
• All the internal angles of the constituent polygons are a multiple of 9°.
• Contains 8 regular five-pointed star polygons with vertex angle of 36°.
• Contains three regular 10-pointed star polygons with vertex angle of 72°.
• Contains one regular 20-pointed star polygon with vertex angle of 36°.
• There are 8 non-regular reflective tiles (including 2 kites) and two reflective pairs.
• The tiling does not satisfy the two-colour condition.
• The tiling is not edge-to-edge.
• As drawn, contains about 1357 polygons.

1. Thesaurus Islamicus (Abu al-Bakr Muzhir, Cairo, Egypt. Portal of east facade door) of Not specific. Personal Communication, Information sent to the author, 21c. [pc] (1479-80AD, 884-5AH)

• Large stars
• Tiling with three or more proper stars

v54