Related Polyhedra and Tilings
The dodecagonal faces can be distorted into different geometries, like:
This tiling is topologically related as a part of sequence of uniform truncated polyhedra with vertex configurations (3.2n.2n), and Coxeter group symmetry.
Symmetry *n32 |
Spherical | Euclidean | Hyperbolic... | |||||
---|---|---|---|---|---|---|---|---|
*232 D3h |
*332 Td |
*432 Oh |
*532 Ih |
*632 P6m |
*732 |
*832 ... |
*∞32 |
|
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} |
Uniform dual figures | ||||||||
Triakis figures |
V3.4.4 |
V3.6.6 |
V3.8.8 |
V3.10.10 |
V3.12.12 |
V3.14.14 |
V3.16.16 |
V3.∞.∞ |
Coxeter |
Read more about this topic: Truncated Hexagonal Tiling
Famous quotes containing the word related:
“Perhaps it is nothingness which is real and our dream which is non-existent, but then we feel think that these musical phrases, and the notions related to the dream, are nothing too. We will die, but our hostages are the divine captives who will follow our chance. And death with them is somewhat less bitter, less inglorious, perhaps less probable.”
—Marcel Proust (18711922)