Panel of tile mosaic, Spain
data184/DS4
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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 two regular 8-pointed star polygons with vertex angle of 90°.
- There are 6 non-regular reflective tiles (including one kite).
- The tiling satisfies the interlace condition and has two finite interlaces and no infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 175 polygons.
References
Publications referenced:
- Figure 60 (Spain. Panel of tile mosaic) of Sheila Blair. Cosmophilia: Islamic art from the David Collection, Chestnut Hill, MA, 2006. ISBN 978189285011. [blair] {216p}(14th century AD)
- Fig 9.9b of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
- page 27 middle left of Daud Sutton. Islamic Design - a genius for geometry, Wooden books, London, 2007. ISBN 978190426359. [sutton]
Collections of similar tilings
v45