Louvre pattern, like Bourgoin, Plate 125

This pattern is a slight modification to Bourgoin, Plate 125.

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 1°.
• Contains three regular pentagons.
• Contains one regular 9-pointed star polygon with vertex angle of 32°.
• Contains one regular 12-pointed star polygon with vertex angle of 72°.
• There are 14 non-regular reflective tiles (including 4 kites) and one reflective pair.
• The tiling satisfies the interlace condition and has five finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 651 polygons.

1. Photo by David Wade: LOU 069 (Cairo, Egypt. Now in Louvre) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}

• Wade photo LOU 069
• Wade photo BOU 125
• Wade photo LOU 008

• Tilings not constructible by straightedge and compass

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