Related Polyhedra and Tilings
The snub cube is one of a family of uniform polyhedra related to the cube and regular octahedron.
| {4,3} | t0,1{4,3} | t1{4,3} | t0,1{3,4} | {3,4} | t0,2{4,3} | t0,1,2{4,3} | s{4,3} | h0{4,3} | h1,2{4,3} |
|---|---|---|---|---|---|---|---|---|---|
This semiregular polyhedron is a member of a sequence of snubbed polyhedra and tilings with vertex figure (3.3.3.3.n) and Coxeter–Dynkin diagram . These figures and their duals have (n32) rotational symmetry, being in the Euclidean plane for n=6, and hyperbolic plane for any higher n. The series can be considered to begin with n=2, with one set of faces degenerated into digons.
| Symmetry | 232 + D3 |
332 + T |
432 + O |
532 + I |
632 + P6 |
732 + |
832 + |
|---|---|---|---|---|---|---|---|
| Order | 6 | 12 | 24 | 60 | ∞ | ||
| Snub figure |
3.3.3.3.2 |
3.3.3.3.3 |
3.3.3.3.4 |
3.3.3.3.5 |
3.3.3.3.6 |
3.3.3.3.7 |
3.3.3.3.8 |
| Coxeter Schläfli |
s{2,3} |
s{3,3} |
s{4,3} |
s{5,3} |
s{6,3} |
s{7,3} |
s{8,3} |
| Snub dual figure |
V3.3.3.3.2 |
V3.3.3.3.3 |
V3.3.3.3.4 |
V3.3.3.3.5 |
V3.3.3.3.6 |
V3.3.3.3.7 |
|
| Coxeter | |||||||
Read more about this topic: Snub Cube
Famous quotes containing the word related:
“The content of a thought depends on its external relations; on the way that the thought is related to the world, not on the way that it is related to other thoughts.”
—Jerry Alan Fodor (b. 1935)