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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