Friday Mosque, Herat

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 4.5°.
• Contains one square.
• Contains one regular two-pointed star polygon with vertex angle of 72°.
• Contains one regular pentagon.
• Contains one regular 8-pointed star polygon with vertex angle of 72°.
• There are four non-regular reflective tiles and one reflective pair.
• The tiling satisfies the interlace condition and has three finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 128 polygons.

1. Page 86, Fig 3.58 and 3.59 (Friday Mosque, Herat, Afghanistan, Central Asia. Detail of Ghurid entrance portal) of Eric Broug. Islamic Geometric Design, Thames and Hudson, 2013. ISBN 978050051695. [broug2] {Many excellent photos}

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