Shrine of Zayn al-Din, Tayabad, Iran

• The symmetry group of the tiling is *2222 (pmm).
• All the internal angles of the constituent polygons are a multiple of 36°.
• Contains 6 regular pentagons.
• Contains two regular 10-pointed star polygons with vertex angle of 108°.
• There are four non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has no finite interlace and four infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 329 polygons.

1. Figure 66b, Plate 35 (Shrine of Zayn al-Din, Tayabad, Iran) of I El-Said and A Parman. Geometric concepts in Islamic Art, World of Islam Festival Publishing Co, 1976. ISBN 090503503. [elsaid] {Gives sources of several interesting patterns.}

• First Decagonal motif

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