Tile Museum, Lisbon

This pattern does not conform to conventional Islamic practice, nor is there a photo of the tile.

• 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 two-pointed star polygon with vertex angle of 45°.
• Contains two regular 8-pointed star polygons with vertex angle of 90°.
• There are 6 non-regular reflective tiles (including one kite) and one reflective pair.
• The tiling satisfies the interlace condition and has one finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 601 polygons.

1. Page 25, top right (Tile Museum, Lisbon, Portugal. Coloured tile design) of Robert Field. Geometric Patterns from Islamic Art and Architecture, Tarquin Publications, 1998. ISBN 189961822. [field4]

Photo?

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