Bourgoin, Plate 45
data10/P045
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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 one regular two-pointed star polygon with vertex angle of 45°.
- Contains one regular octagon.
- Contains one regular 8-pointed star polygon with vertex angle of 45°.
- There are three non-regular reflective tiles (including one kite and one dart).
- The tiling satisfies the two-colour condition.
- The tiling is edge-to-edge.
- As drawn, contains about 291 polygons.
References
Publications referenced:
- Figure 30 of I El-Said and A Parman. Geometric concepts in Islamic Art, World of Islam Festival Publishing Co, 1976. ISBN 090503503. [elsaid] {Gives sources of several interesting patterns.}
- Plate 45 (No source known) 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
Photo?
v53