Ahmad Ibn Tulun Mosque, Cairo
data147/F255A
(Click on image for high-quality PDF version)
Geometry
- The symmetry group of the tiling is *442 (p4m).
- All the internal angles of the constituent polygons are a multiple of 45°.
- Contains two squares.
- Contains one regular 8-pointed star polygon with vertex angle of 45°.
- The tiling satisfies the two-colour condition.
- The tiling is not edge-to-edge.
- As drawn, contains about 45 polygons.
References
Publications referenced:
- Figure 2 (c) of Joseph S. Myers. Tiling with Regular Star Polygons, Eureka 56 (March 2004), 20-27, 2004. [myers] Available on Internet.
- Photo EGY 0204x (Ahmad Ibn Tulun, Cairo, Egypt. Succo) of David Wade. Website: patterninislamicart.com, UK, 2015. [wadei] {Website}
- figure 2.5.5 (a) (Uniform tiling with star polygons which are not edge-to-edge) of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman, 1987. ISBN 071671193. [gands] {Most important work in this area.}
Photographs
v44