Itimad-ud-Daula's Tomb
data185/P48
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Geometry
- The symmetry group of the tiling is *2222 (pmm).
- All the internal angles of the constituent polygons are a multiple of 36°.
- Contains 8 regular five-pointed star polygons with vertex angle of 36°.
- Contains two regular 10-pointed star polygons with vertex angle of 72°.
- There are five non-regular reflective tiles (including one kite).
- The tiling satisfies the interlace condition and has no finite interlace and four infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 565 polygons.
References
Publications referenced:
- Photo by David Wade: IND 0415 (Itimad-ud-Daula's Tomb, Agra, India) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}(1626AD, 1035AH)
- Fig 12.9b of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
Photographs
Collections of similar tilings
Patterns using same irregular tiles: 2
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