Bourgoin, Plate 109
data169/P109
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Geometry
- The symmetry group of the tiling is *2222 (pmm).
- All the internal angles of the constituent polygons are a multiple of 1.5°.
- Contains two regular two-pointed star polygons with vertex angle of 72°.
- Contains one regular 8-pointed star polygon with vertex angle of 90°.
- Contains one regular 10-pointed star polygon with vertex angle of 72°.
- There are 13 non-regular reflective tiles (including 3 kites) and four reflective pairs.
- The tiling satisfies the interlace condition and has four finite interlaces and one infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 611 polygons.
References
Publications referenced:
- Plate 109 (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
v46