Monreale Cathedral
data5/J30D
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Geometry
- The symmetry group of the tiling is *632 (p6m).
- All the internal angles of the constituent polygons are a multiple of 30°.
- Contains three equilateral triangles.
- Contains one regular 6-pointed star polygon with vertex angle of 60°.
- There are two non-regular reflective tiles (including one kite).
- The tiling satisfies the two-colour condition.
- The tiling is not edge-to-edge.
- As drawn, contains about 279 polygons.
References
Publications referenced:
- Page 73 (Basilica of St Francesco, Assisi, Italy) of F M Hessemer. Historic Designs and Patterns in Color, Dover, a1840. ISBN 048626425. [hessemer] {This collection is unusual in giving the source for almost all the patterns.} Available on Internet.(13th century AD)
- Plate XXX(35) (Byzantine ornament, Monreale Cathedral, Italy) of Owen Jones. The Grammar of Ornament, Dover, 1856. ISBN 048625463. [jones] {Excellent book with 100 colour plates, with many containing several tiling patterns.} Fuller version available on Internet.
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