Mahmud Pasha, Istanbul

• The symmetry group of the tiling is *442 (p4m).
• Contains one regular two-pointed star polygon with vertex angle of 45°.
• Contains one regular four-pointed star polygon with vertex angle of 45°.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There are four non-regular reflective tiles (including one kite) and one reflective pair.
• The tiling satisfies the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 315 polygons.

1. Page 198, bottom (Mahmud Pasha, Istanbul, Turkey. Facade of Turbe) of Degeorge, G ́erard and Porter. The Art of the Islamic Tile, Paris, 2002. ISBN 208010876. [degeorge2] {}(1463AD, 867AH)

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