Shaikhun mihrab: ceramic wall tiles 14thc
data8/PG249
(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 15°.
- Contains one square.
- Contains one regular hexagon.
- Contains one regular 12-pointed star polygon with vertex angle of 60°.
- There are 8 non-regular reflective tiles (including one kite).
- The tiling satisfies the interlace condition and has one finite interlace and one infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 553 polygons.
References
Publications referenced:
- Front cover, Dover reprint (See D'aveness) of J Bourgoin. Arabic Geometrical Pattern and Design, Dover, 1879. ISBN 048622924. [bourgoin] {Classical book of around 200 hand-produced patterns, in back and white.} Fuller version available on Internet.
- Page 249 and similar to Page 278 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.}
- Photo 328 from Internet (Shaikhun mihrab: ceramic wall tiles 14thc) of Prisse d'Avennes. Arabic Art in Color, Dover, 1877. ISBN 048623658. [d-avennes] {Contains 25 geometric patterns in colour, and gives the source in most cases more on the Internet.} Fuller version available on Internet.
Photo?
v54