Tuman Aka mausoleum
data184/TRA0214
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Geometry
- The symmetry group of the tiling is 2*22 (cmm).
- All the internal angles of the constituent polygons are a multiple of 22.5°.
- Contains one regular 8-pointed star polygon with vertex angle of 112.5°.
- There are 6 non-regular reflective tiles (including one kite).
- The tiling satisfies the interlace condition and has no finite interlace and two infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 205 polygons.
References
Publications referenced:
- Figure 73 (Tuman Aka mausoleum, Samarkand, Central Asia. Ceramic mosaic) of Derek Hill. Islamic architecture and its decoration, A.D. 800-1500..., Faber and Faber, Pressmark 35.C.183, 1964. ISBN 050051032. [hill] {With an introductory text by Oleg Grabar}(1405AD, 807AH)
- Fig 6.7, photo of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
- Photo by David Wade: TRA 0214/5 (Shah-i-Zinda, Samarkand, Central Asia) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}
Photographs
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