Nim Avard Madrasah, Isfahan

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one square.
• 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 one finite interlace and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 145 polygons.

1. Page 31, photo 15, Fig 159 (Tomb of Nasr ibn Ali, Uzgen, Kyrgystan, Central Asia) from [bonner] (1012-3AD, 402-3AH)
2. Photo 210 (Friday mosque, Isfahan, Iran. Ceiling decoration) from [pope] (1310AD, 709AH)
3. Plate X (Masjid-e Ali, Isfahan, Iran. Half-dome of portal) from [pope] (1522AD, 928AH)
4. Page 71, Fig 3.21 (Shrine of Darb-e Imam, Isfahan, Iran) from [broug2]
5. Vol 3, Figure 81, page 37 (Nim Avard Madrasah, Isfahan, Iran) from [iran]

• Tiling whose tile angles are a multiple of 45° and whose lengths are p+q*sqrt(2).

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