Kepler's Y tiling

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains five squares.
• Contains two regular octagons.
• Contains one regular 8-pointed star polygon with vertex angle of 45°.
• The tiling does not satisfy the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 142 polygons.

1. Frontispiece of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}

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