Related Polyhedra and Tilings
It is part of a truncation process between a dodecahedron and icosahedron:
| {5,3} | t0,1{5,3} | t1{5,3} | t0,1{3,5} | {3,5} | t0,2{5,3} | t0,1,2{5,3} | s{5,3} |
|---|---|---|---|---|---|---|---|
This polyhedron is topologically related as a part of sequence of uniform truncated polyhedra with vertex configurations (3.2n.2n), and Coxeter group symmetry.
| Symmetry | Spherical | Planar | Hyperbolic... | |||||
|---|---|---|---|---|---|---|---|---|
| *232 D3h |
*332 Td |
*432 Oh |
*532 Ih |
*632 P6m |
*732 |
*832 ... |
*∞32 |
|
| Order | 12 | 24 | 48 | 120 | ∞ | |||
| Truncated figures |
3.4.4 |
3.6.6 |
3.8.8 |
3.10.10 |
3.12.12 |
3.14.14 |
3.16.16 |
3.∞.∞ |
| Coxeter Schläfli |
t0,1{2,3} |
t0,1{3,3} |
t0,1{4,3} |
t0,1{5,3} |
t0,1{6,3} |
t0,1{7,3} |
t0,1{8,3} |
t0,1{∞,3} |
| Triakis figures |
V3.4.4 |
V3.6.6 |
V3.8.8 |
V3.10.10 |
V3.12.12 |
V3.14.14 |
||
| Coxeter | ||||||||
Read more about this topic: Truncated Dodecahedron
Famous quotes containing the word related:
“Women stand related to beautiful nature around us, and the enamoured youth mixes their form with moon and stars, with woods and waters, and the pomp of summer. They heal us of awkwardness by their words and looks. We observe their intellectual influence on the most serious student. They refine and clear his mind: teach him to put a pleasing method into what is dry and difficult.”
—Ralph Waldo Emerson (1803–1882)
Related Phrases
Related Words