Istanbul Topkapi museum
data198/TOP4
(Click on image for high-quality PDF version)
Geometry
- The symmetry group of the tiling is *2222 (pmm).
- All the internal angles of the constituent polygons are a multiple of 36°.
- Contains 18 regular two-pointed star polygons with vertex angle of 72°.
- Contains 30 regular pentagons.
- Contains two regular 10-pointed star polygons with vertex angle of 72°.
- There are 11 non-regular reflective tiles (including one kite).
- The tiling satisfies the interlace condition and has 8 finite interlaces and two infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 912 polygons.
References
Publications referenced:
- Dick Osseman photo (Topkapi museum, Istanbul, Turkey) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]
- Fig 12.12b of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
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