Hessemer, page 18
T00090, data4/P18
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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 22.5°.
- Contains one regular two-pointed star polygon with vertex angle of 45°.
- Contains one regular four-pointed star polygon with vertex angle of 45°.
- Contains one regular 8-pointed star polygon with vertex angle of 90°.
- There are three non-regular reflective tiles.
- The tiling satisfies the two-colour condition.
- The tiling is edge-to-edge.
- As drawn, contains about 199 polygons.
References
Publications referenced:
- Plate 48 (Is the same but with octagons for diamonds and the four-pointed star) from [bourgoin]
- Photo 255, from Internet source (ceiling: 8-sided stars, various dates, with colour) from [d-avennes]
- Page 18 (Wall painting in the mosque Abu Sud i Kierheh (??) of uncertain date. Tiles contain ornamentation in the original) from [hessemer]
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