Atabaki Court, Qom

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains two squares.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There is one non-regular reflective tile.
• The tiling satisfies the interlace condition and has one finite interlace and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 90 polygons.

1. Volume 3, Figure 77, page 22 (Atabaki courtyard, Qom, Iran. Original colouring is unclear due to extensive ornamentation) 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.

• Tiling whose tile angles are a multiple of 45° and whose lengths are p+q*sqrt(2).

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