Mosaic in Islamic Design

The white surround of the black khatem is actually formed from several white tiles.

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains two regular two-pointed star polygons with vertex angle of 45°.
• Contains three regular 8-pointed star polygons with vertex angle of 90°.
• There are 6 non-regular reflective tiles (including one kite) and one reflective pair.
• The tiling satisfies the interlace condition and has one finite interlace and two infinite interlaces with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 353 polygons.

1. From Alberto Leon (Mosaic in Islamic Design) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

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

v54