Triangular Prism - Related Polyhedra and Tilings

Related Polyhedra and Tilings

This polyhedron is topologically related as a part of sequence of uniform truncated polyhedra with vertex configurations (3.2n.2n), and Coxeter group symmetry.

Dimensional family of truncated polyhedra and tilings: 3.2n.2n
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

This polyhedron is topologically related as a part of sequence of cantellated polyhedra with vertex figure (3.4.n.4), and continues as tilings of the hyperbolic plane. These vertex-transitive figures have (*n32) reflectional symmetry.

This polyhedron is topologically related as a part of sequence of cantellated polyhedra with vertex figure (3.4.n.4), and continues as tilings of the hyperbolic plane. These vertex-transitive figures have (*n32) reflectional symmetry.

Dimensional family of expanded polyhedra and tilings: 3.4.n.4
Symmetry
*n32
Spherical Planar Hyperbolic...
*232

D3h
*332

Td
*432

Oh
*532

Ih
*632

P6m
*732

*832
...
*∞32

Expanded
figure

3.4.2.4

3.4.3.4

3.4.4.4

3.4.5.4

3.4.6.4

3.4.7.4

3.4.8.4

3.4.∞.4
Coxeter
Schläfli

t0,2{2,3}

t0,2{3,3}

t0,2{4,3}

t0,2{5,3}

t0,2{6,3}

t0,2{7,3}

t0,2{8,3}

t0,2{∞,3}
Deltoidal figure
V3.4.2.4

V3.4.3.4

V3.4.4.4

V3.4.5.4

V3.4.6.4

V3.4.7.4

V3.4.8.4

V3.4.∞.4
Coxeter

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