Yusupov Palace, Saint Petersburg

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one regular two-pointed star polygon with vertex angle of 45°.
• Contains one regular octagon.
• Contains one regular four-pointed star polygon with vertex angle of 45°.
• There are three non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 853 polygons.

1. Photo from Aslam Qureshi (Yusupov Palace, Saint Petersburg, Russia) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

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