Alhambra, Sala del Mexuar
data190/JR40
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This display is shown as in the Alhambra, North end of Sala del Mexuar. For a display with the 16-star at the sentre, see Alhambra, Sala del Mexuar.
Geometry
- The symmetry group of the tiling is *442 (p4m).
- All the internal angles of the constituent polygons are a multiple of 22.5°.
- Contains four regular two-pointed star polygons with vertex angle of 45°.
- Contains one regular 8-pointed star polygon with vertex angle of 90°.
- Contains one regular 16-pointed star polygon with vertex angle of 45°.
- There are 16 non-regular reflective tiles (including 2 kites).
- The tiling satisfies the interlace condition and has one finite interlace and two infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 847 polygons.
References
Publications referenced:
- Phota SPA 1419 (Alhambra, Sala del Mexuar, Spain) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}(1232-1417AD, 629-820AH)
- Fig 6.5, photo 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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