Bourgoin, Plate 152
T01650, data182/B152
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Revised: Metrics from AJL, v16
Geometry
- The symmetry group of the tiling is *442 (p4m).
- All the internal angles of the constituent polygons are a multiple of 2.81 (π/64)°.
- Contains one regular 8-pointed star polygon with vertex angle of 73.12 (13π/32)°.
- Contains one regular 16-pointed star polygon with vertex angle of 73.12 (13π/32)°.
- There are 18 non-regular reflective tiles.
- The tiling satisfies the interlace condition and has 7 finite interlaces and no infinite interlace.
- The tiling is edge-to-edge.
- As drawn, contains about 1185 polygons.
References
Publications referenced:
- Thesaurus Islamicus, F1361 (Qijmas al-Ishaqi mosque, Cairo, Egypt) of Not specific. Personal Communication, Information sent to the author, 21 century . [pc]
- Plate 152 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
Collections of similar tilings
v29