Tehran - Golestan Palace

• Growth dynamic build of this pattern.
• Random dynamic build of this pattern.
• Structured dynamic build of this pattern.
• 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 two regular 8-pointed star polygons with vertex angle of 90°.
• There are three non-regular reflective tiles.
• The tiling satisfies the interlace condition and has two finite interlaces and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 243 polygons.

1. Fig A.4 of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
2. Volume 5, page 30 (Golestan Palace, Tehran, Iran. Colours from original) 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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