Qom - Atabegi courtyard

• The symmetry group of the tiling is *2222 (pmm).
• All the internal angles of the constituent polygons are a multiple of 36°.
• Contains one regular pentagon.
• Contains one regular five-pointed star polygon with vertex angle of 72°.
• Contains one regular 10-pointed star polygon with vertex angle of 108°.
• There are five non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has one finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 223 polygons.

1. Internet photo by Brian McMorrow (Regent's Mosque, Shiraz, Iran. Mosaic tilework) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]
2. Vol3, Figure 107, page 137 (Atabegi courtyard, Qom, Iran. Based upon original colouring, which is irregular) 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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