Bourgoin, Plate 140
T00203, data8/PG140
(Click on image for high-quality PDF version)
Geometry
- The symmetry group of the tiling is *632 (p6m).
- All the internal angles of the constituent polygons are a multiple of 15°.
- Contains one regular 8-pointed star polygon with vertex angle of 90°.
- Contains one regular 12-pointed star polygon with vertex angle of 60°.
- Contains one regular 24-pointed star polygon with vertex angle of 30°.
- There are 6 non-regular reflective tiles and four reflective pairs.
- The tiling satisfies the interlace condition and has no finite interlace and three infinite interlaces.
- The tiling is edge-to-edge.
- As drawn, contains about 588 polygons.
References
Publications referenced:
- Page 140 (Redrawn to give similar stars, based upon 4.6.12) of S J Abas and A S Salman. Symmetries of Islamic Geometrical Patterns, World Scientific, 1993. ISBN 981021704. [abas] {Very many patterns in black and white.}
- Plate 140 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.}
Photographs
Collections of similar tilings
v22