Kasehgaran Madrasah, Isfahan
data181/F111
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This is a centred tiling as can be seen from the ring of black 5-pointed stars round the central 10-pointed star.
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 *5• (d5).
- All the internal angles of the constituent polygons are a multiple of 36°.
- Contains one regular two-pointed star polygon with vertex angle of 72°.
- Contains 10 regular five-pointed star polygons with vertex angle of 72°.
- Contains three regular 10-pointed star polygons with vertex angle of 108°.
- There are three non-regular reflective tiles.
- The tiling is edge-to-edge.
- As drawn, contains about 1473 polygons.
References
Publications referenced:
- Vol3, Figure 111, page153 (Kasehgaran Madrasah, Isfahan, Iran) 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.(1700AD, 1112AH)
- Fig 12.8 of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
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