Khatem Sulemani
data21/P17
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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 8-pointed star polygon with vertex angle of 90°.
- There is one non-regular reflective tile.
- The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 71 polygons.
References
Publications referenced:
- Figure 1.4, page 15 (Khatem Sulemani) of S J Abas and A S Salman. Symmetries of Islamic Geometrical Patterns, World Scientific, 1993. ISBN 981021704. [abas] {Very many patterns in black and white.}
- Page 17 (1) and 80 (b) of David Wade. Pattern in Islamic Art, Studio Vista, 1976. ISBN 028970719. [wade] {Some beautiful coloured patterns, but source not given.}
- Page 347, Figure 7.2.4 (b) (An example of a diffeometric pattern) of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}
Photographs
Collections of similar tilings
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