Bourgoin, Plate 46
data10/P046
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Geometry
- The symmetry group of the tiling is *442 (p4m).
- All the internal angles of the constituent polygons are a multiple of 45°.
- Contains three regular 8-pointed star polygons with vertex angle of 90°.
- There are five non-regular reflective tiles (including 2 kites).
- The tiling satisfies the interlace condition and has two finite interlaces and two infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 319 polygons.
References
Publications referenced:
- Fig 9.8a of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
- Page 242 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.}
- Plate 46 (No known source) of J Bourgoin. Arabic Geometrical Pattern and Design, Dover, 1879. ISBN 048622924. [bourgoin] {Classical book of around 200 hand-produced patterns, in back and white.} Fuller version available on Internet.
Photographs
v47