Textile fragment, Nasrid period (1232-1492)

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains two squares.
• Contains two regular 8-pointed star polygons with vertex angle of 45°.
• There are two non-regular reflective tiles and one reflective pair.
• The tiling satisfies the interlace condition and has two finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 247 polygons.

1. The Metropolitan Museum of Art, 46.156.16 (Textile fragment, Nasrid period (1232-1492)) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

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

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