Bourgoin, Plate 169
data172/EGY1217
(Click on image for high-quality PDF version)
Geometry
- The symmetry group of the tiling is 2*22 (cmm).
- All the internal angles of the constituent polygons are a multiple of 25.71 (π/7)°.
- Contains one regular heptagon.
- Contains one regular 14-pointed star polygon with vertex angle of 51.42 (2π/7)°.
- There are 13 non-regular reflective tiles (including 2 kites) and two reflective pairs.
- The tiling satisfies the interlace condition and has one finite interlace and three infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 499 polygons.
References
Publications referenced:
- Photo from David Wade, EGY 1217 (al-Mu'ayyad, Cairo, Egypt) of Not specific. Personal Communication, Information sent to the author, 21c. [pc] (1420AD, 823AH)
- Page 317 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.}
- Plate 169 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.
Photographs
Collections of similar tilings
v53