Atabaki courtyard, Qom

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 15°.
• Contains one regular 8-pointed star polygon with vertex angle of 120°.
• Contains one regular 12-pointed star polygon with vertex angle of 60°.
• There are 9 non-regular reflective tiles (including 2 kites) and one reflective pair.
• The tiling satisfies the interlace condition and has two finite interlaces and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 393 polygons.

1. Vol 2, page 21 (Atabaki courtyard, Qom, Iran) of Mahmood Maher al-Naqsh. Design and execution of drawing in Iranian tilework, Islamic period, Reza Abbasi Museum, 1983. [iran] {Good collection of Iranian patterns, text in Persian} Available on Internet.

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