Khatem Sulemani

• 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.

1. Figure 1.4, page 15 (Khatem Sulemani) of S J Abas and A S Salman. Symmetries of Islamic Geometrical Patterns, World Scientific, 1995. ISBN 981021704. [abas] {Very many patterns in black and white, no sources given.}
2. 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.}
3. 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.}

• Wade photo PIA 080

• Tilings with coloured interlacing
• Tiling whose tile angles are a multiple of 45° and whose lengths are p+q*sqrt(2).

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