Turkish Sultana's House

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 15°.
• Contains two regular hexagons.
• Contains one regular four-pointed star polygon with vertex angle of 120°.
• Contains one regular 6-pointed star polygon with vertex angle of 60°.
• Contains one regular 8-pointed star polygon with vertex angle of 60°.
• Contains one regular 8-pointed star polygon with vertex angle of 105°.
• There are two non-regular reflective tiles (including one kite) and one reflective pair.
• The tiling satisfies the interlace condition and has one finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 175 polygons.

1. Internet photo of ceiling (Fatehpur Sikri, Turkish Sultana's House, India) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

• Tiling with three or more proper stars

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