Topkapi Palace door
data198/TOP1
(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 12 regular two-pointed star polygons with vertex angle of 72°.
- Contains 20 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 7 finite interlaces and one infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 849 polygons.
References
Publications referenced:
- Page 160, Fig 5.94 (Topkapi Palace door, Istanbul, Turkey) of Eric Broug. Islamic Geometric Design, Thames and Hudson, 2013. ISBN 978050051695. [broug2] {Many excellent photos}
v44