Bourgoin, Plate 71
data158/B071
(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 3.75°.
- Contains one regular two-pointed star polygon with vertex angle of 75°.
- Contains one regular four-pointed star polygon with vertex angle of 52.5°.
- Contains one regular 12-pointed star polygon with vertex angle of 75°.
- There are 9 non-regular reflective tiles (including 2 kites) and two reflective pairs.
- The tiling satisfies the interlace condition and has two finite interlaces and no infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 501 polygons.
References
Publications referenced:
- Plate 71 (Inexact pentagons) 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.
- Vol 1, pages 428/429 (Morocco) of Paccard, AndrĂ©. Traditional Islamic craft in Moroccan architecture, Saint-Jorioz, France, 1980. ISBN 286486003. [paccard] {2 v. : ill. (some col.) ; 31 cm.}
Photographs
v47