Bourgoin, Plate 151
data12/P151
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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 22.5°.
- Contains two regular octagons.
- Contains one regular four-pointed star polygon with vertex angle of 45°.
- Contains one regular 8-pointed star polygon with vertex angle of 90°.
- There are three non-regular reflective tiles (including one kite).
- 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 209 polygons.
References
Publications referenced:
- Page 322 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 151 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.
- See analysis of interlacing of B Grünbaum and G C Shephard. Interlace Patterns in Islamic and Moorish Art, Leonardo, Vol. 25, No. 3/4, pp. 331-339, 1992. [gands2] Copyright controlled copy on Internet.
Photographs
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