Ceramic tile
data21/P93
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Revised: Colours
Geometry
- 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.
References
Publications referenced:
- Fig A.2 of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
- Page 254 of S J Abas and A S Salman. Symmetries of Islamic Geometrical Patterns, World Scientific, 1993. ISBN 981021704. [abas] {Very many patterns in black and white.}
- 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.}
Photographs
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