Truncated Tetrahedron - Related Polyhedra and Tilings

Related Polyhedra and Tilings

Family of uniform tetrahedral polyhedra
{3,3} t0,1{3,3} t1{3,3} t1,2{3,3} t2{3,3} t0,2{3,3} t0,1,2{3,3} s{3,3}

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 Tetrahedron

Famous quotes containing the word related:

    The near explains the far. The drop is a small ocean. A man is related to all nature. This perception of the worth of the vulgar is fruitful in discoveries. Goethe, in this very thing the most modern of the moderns, has shown us, as none ever did, the genius of the ancients.
    Ralph Waldo Emerson (1803–1882)