Suleymaniye Mosque
data188/H2
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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 36°.
- Contains 12 regular two-pointed star polygons with vertex angle of 72°.
- Contains four regular pentagons.
- Contains one regular 10-pointed star polygon with vertex angle of 72°.
- There are 9 non-regular reflective tiles (including one kite).
- The tiling satisfies the interlace condition and has 7 finite interlaces and no infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 529 polygons.
References
Publications referenced:
- Photo from Richard Henry (Suleymaniye Mosque, Istanbul, Turkey. Architect: Sinan, Ottoman) of Not specific. Personal Communication, Information sent to the author, 21c. [pc] (1557AD, 964AH)
- Fig 12.6b of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
Collections of similar tilings
Patterns using same tiles: 2
v45