Qom - Atiq courtyard

• The symmetry group of the tiling is *2222 (pmm).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one square.
• Contains three regular 8-pointed star polygons with vertex angle of 90°.
• There are four non-regular reflective tiles.
• The tiling satisfies the interlace condition and has three finite interlaces and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 361 polygons.

1. Vol5, page 105 (Atiq courtyard, Qom, Iran. Colour from original, mosaic presentation) 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).

Photo?

v54