Hessemer, page 45
data4/P45
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Geometry
- The symmetry group of the tiling is *442 (p4m).
- All the internal angles of the constituent polygons are a multiple of 7.5°.
- Contains five squares.
- Contains two regular two-pointed star polygons with vertex angle of 52.5°.
- Contains one regular 8-pointed star polygon with vertex angle of 45°.
- Contains one regular 12-pointed star polygon with vertex angle of 60°.
- There are 11 non-regular reflective tiles (including one kite) and two reflective pairs.
- 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 833 polygons.
References
Publications referenced:
- Page 45 (Painted wooden panel from an unspecified private house. Colouring changed slightly to have neighbouring tiles in different colours) 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.
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