Building in Salisbury

• The symmetry group of the tiling is 442 (p4).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one square.
• Contains one regular octagon.
• There are no non-regular reflective pairs and one tile with no mirror image.
• The tiling does not satisfy the two-colour condition.
• The tiling is not edge-to-edge.
• As drawn, contains about 132 polygons.

1. Fig 11.12a of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
2. Page 27 (bottom), diagram (From a building in Salisbury, UK) of Robert Field. Geometric Patterns from Churches and Cathedrals, Tarquin Publications, 1996. ISBN 189961813. [field2]

v54