Dye, Figure B 20
data22/B20
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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 45°.
- Contains one square.
- Contains one regular octagon.
- There are two non-regular reflective tiles.
- The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 287 polygons.
References
Publications referenced:
This pattern has variants as indicated below.
- Figure 32.6a, page 285 (Interlacing shown here) of Peter S Stevens. Handbook of regular patterns: an introduction to symmetry in two..., MIT Press, 1984. ISBN 026269088. [stevens] {Illustrations in black and white} Variant A
- Figure B 20 (Chair bottom-weave, Chengtu, Szechwan, 1917 AD) of Daniel Sheets Dye. Chinese Lattice Designs, Dover, 1937. ISBN 048623096. [dye] {Important book topic.} Variant A
- Plate 83D (middle right) of Carol Belanger Grafton. Decorative Tile Designs in full Color, Dover, 1992. [grafton] {92 High quality colour plates; dated 1870-1930.} Variant A
Collections of similar tilings
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