Bourgoin, Plate 170
T00326, data12/P170
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Geometry
- The symmetry group of the tiling is 4*2 (p4g).
- All the internal angles of the constituent polygons are a multiple of 3.21 (π/56)°.
- Contains one regular two-pointed star polygon with vertex angle of 77.14 (3π/7)°.
- Contains two regular octagons.
- Contains one regular 7-pointed star polygon with vertex angle of 77.14 (3π/7)°.
- There are three non-regular reflective tiles.
- The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace.
- The tiling is edge-to-edge.
- As drawn, contains about 163 polygons.
References
Publications referenced:
- Plate 170 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.
- Analysis here of E Hanbury Hankin. Some Difficult Saracenic Designs II, Mathematical Gazette, Vol 18, pp165-168, 1934. [hankin2] {Considers one pattern in detail.} Available on Internet.
- Page 379 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.}
Photographs
Collections of similar tilings
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