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:
“The custard is setting; meanwhile
I not only have my own history to worry about
But am forced to fret over insufficient details related to large
Unfinished concepts that can never bring themselves to the point
Of being, with or without my help, if any were forthcoming.”
—John Ashbery (b. 1927)