Afghanistan - Mazar-e Sharif Shrine

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There are two non-regular reflective tiles.
• The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 177 polygons.

1. Vol 2, page 191 (Mazar-e Sharif Shrine, Afghanistan, Central Asia) 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).

v54