Truncated Icosahedron - Related Polyhedra

Related Polyhedra

Family of uniform icosahedral polyhedra
{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}
Symmetry Spherical Planar Hyperbolic...
*232

D3h
*332

Td
*432

Oh
*532

Ih
*632

P6m
*732

*832
...
*∞32

Order 12 24 48 120
Truncated
figures

2.6.6

3.6.6

4.6.6

5.6.6

6.6.6

7.6.6

8.6.6

3.4.∞.4
Coxeter
Schläfli

t0,1{3,2}

t0,1{3,3}

t0,1{3,4}

t0,1{3,5}

t0,1{3,6}

t0,1{3,7}

t0,1{3,8}

t0,1{3,∞}
n-kis
figures

V2.6.6

V3.6.6

V4.6.6

V5.6.6

V6.6.6

V7.6.6
Coxeter

These uniform star-polyhedra, and one icosahedral stellation have nonuniform truncated icosahedra convex hulls:


Nonuniform
truncated icosahedron
2 5 | 3

U37
2 5/2 | 5

U61
5/2 3 | 5/3

U67
5/3 3 | 2

U73
2 5/3 (3/2 5/4)

Complete stellation

Nonuniform
truncated icosahedron
2 5 | 3

U38
5/2 5 | 2

U44
5/3 5 | 3

U56
2 3 (5/4 5/2) |

Nonuniform
truncated icosahedron
2 5 | 3

U32
| 5/2 3 3

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