Derived from page 245 of Abas and Salman
data145/A1
(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 two-pointed star polygon with vertex angle of 45°.
- Contains one regular octagon.
- Contains one regular 8-pointed star polygon with vertex angle of 45°.
- The tiling satisfies the two-colour condition.
- The tiling is edge-to-edge.
- As drawn, contains about 90 polygons.
References
Publications referenced:
- Derived from figure on page 245 of S J Abas and A S Salman. Symmetries of Islamic Geometrical Patterns, World Scientific, 1995. ISBN 981021704. [abas] {Very many patterns in black and white, no sources given.}
- Uniform Star Polygons with Digons of B A Wichmann. The World of Patterns, World Scientific, 2001. ISBN 981024619. [wich2] {Only new patterns ascribed to this.}
- Very similar to Figure 20 (Khawjeh Atabak, Kirman, Iran) of I El-Said and A Parman. Geometric concepts in Islamic Art, World of Islam Festival Publishing Co, 1976. ISBN 090503503. [elsaid] {Gives sources of several interesting patterns.}
Photo?
v54