Ceramic tile

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 7.5°.
• Contains three squares.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• Contains one regular 12-pointed star polygon with vertex angle of 60°.
• There are 12 non-regular reflective tiles (including 3 kites) and two reflective pairs.
• The tiling satisfies the interlace condition and has one finite interlace and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 565 polygons.

1. Fig A.2 of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
2. Page 254 of S J Abas and A S Salman. Symmetries of Islamic Geometrical Patterns, World Scientific, 1995. ISBN 981021704. [abas] {Very many patterns in black and white, no sources given.}
3. Page 93 (From Copenhagen) of David Wade. Pattern in Islamic Art, Studio Vista, 1976. ISBN 028970719. [wade] {Some beautiful coloured patterns, but source not given.}

• Wade photo PIA 093

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