Alcazar pattern like Bourgoin, Plate 129
T01412, data173/FIG3
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Revised: Metrics from AJL, v10
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 one regular 8-pointed star polygon with vertex angle of 45°.
- Contains one regular 16-pointed star polygon with vertex angle of 45°.
- There are 6 non-regular reflective tiles.
- The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces.
- The tiling is edge-to-edge.
- As drawn, contains about 291 polygons.
References
Publications referenced:
- Plate 129 (This pattern does not have inner khatem) 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.}
Photographs
v15