Tehran - Golestan Palace
data17/P30
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Geometry
- Growth dynamic build of this pattern.
- Random dynamic build of this pattern.
- Structured dynamic build of this pattern.
- The symmetry group of the tiling is *2222 (pmm).
- 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 three non-regular reflective tiles.
- The tiling satisfies the interlace condition and has two finite interlaces and one infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 243 polygons.
References
Publications referenced:
- Fig A.4 of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
- Volume 5, page 30 (Golestan Palace, Tehran, Iran. Colours from original) 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.
Collections of similar tilings
Patterns using same irregular tiles: 3
v53