- Source: Truncated order-6 octagonal tiling
In geometry, the truncated order-6 octagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{8,6}.
Uniform colorings
A secondary construction t{(8,8,3)} is called a truncated trioctaoctagonal tiling:
Symmetry
The dual to this tiling represent the fundamental domains of [(8,8,3)] (*883) symmetry. There are 3 small index subgroup symmetries constructed from [(8,8,3)] by mirror removal and alternation. In these images fundamental domains are alternately colored black and white, and mirrors exist on the boundaries between colors.
The symmetry can be doubled as 862 symmetry by adding a mirror bisecting the fundamental domain.
Related polyhedra and tiling
References
John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 (Chapter 19, The Hyperbolic Archimedean Tessellations)
"Chapter 10: Regular honeycombs in hyperbolic space". The Beauty of Geometry: Twelve Essays. Dover Publications. 1999. ISBN 0-486-40919-8. LCCN 99035678.
See also
Tilings of regular polygons
List of uniform planar tilings
List of regular polytopes
External links
Weisstein, Eric W. "Hyperbolic tiling". MathWorld.
Weisstein, Eric W. "Poincaré hyperbolic disk". MathWorld.
Hyperbolic and Spherical Tiling Gallery
KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
Hyperbolic Planar Tessellations, Don Hatch
Kata Kunci Pencarian:
- Truncated order-6 octagonal tiling
- Truncated octagonal tiling
- Truncated order-4 octagonal tiling
- Octagonal tiling
- Truncated cuboctahedron
- Truncated order-8 triangular tiling
- Truncated hexagonal tiling
- Truncated trioctagonal tiling
- Truncated square tiling
- Truncated cube
