Bourgoin, Plate 144
data12/P144
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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 octagons.
- Contains two regular 8-pointed star polygons with vertex angle of 90°.
- There are three non-regular reflective tiles.
- 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 331 polygons.
References
Publications referenced:
- Page 187 of Keith Critchlow. Islamic Patterns - An Analytical and Cosmological Approach, Thames and Hudson, 1976. ISBN 050027071. [critchlow] {Gives about 6 patterns not found in Bourgoin.}
- Page 250 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 144 (Uses the same tiles as Plate 52) 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
Collections of similar tilings
Patterns using same irregular tiles: 2
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