Vol2, page 43
data197/IRAN11
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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 one square.
- Contains one regular three-pointed star polygon with vertex angle of 90°.
- Contains one regular 6-pointed star polygon with vertex angle of 90°.
- There is one non-regular reflective tile.
- The tiling satisfies the interlace condition and has no finite interlace and one infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 250 polygons.
References
Publications referenced:
- Fig 11.2c of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
- Vol2, page 43 of Mahmood Maher al-Naqsh. Design and execution of drawing in Iranian tilework, Islamic period, Reza Abbasi Museum, 1983. [iran] {Good collection of Iranian patterns, text in Persian} Available on Internet.
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