Truncated dodecahedral prism | |
---|---|

Schlegel diagram Decagonal prisms hidden | |

Type | Prismatic uniform polychoron |

Uniform index | 60 |

Schläfli symbol | t_{0,1,3}{3,5,2} or t{3,5}×{} |

Coxeter-Dynkin | |

Cells | 34 total: 2 t _{0,1}{5,3} 12 {}x{10} 20 {}x{3} |

Faces | 154 total: 40 {3} 90 {4} 24 {10} |

Edges | 240 |

Vertices | 120 |

Vertex figure | Isosceles-triangular pyramid |

Symmetry group | [5,3,2], order 240 |

Properties | convex |

In geometry, a **truncated dodecahedral prism** is a convex uniform polychoron (four-dimensional polytope).

It is one of 18 convex uniform polyhedral prisms created by using uniform prisms to connect pairs of Platonic solids or Archimedean solids in parallel hyperplanes.

- Truncated-dodecahedral dyadic prism (Norman W. Johnson)
- Tiddip (Jonathan Bowers: for truncated-dodecahedral prism)
- Truncated-dodecahedral hyperprism

- 6. Convex uniform prismatic polychora - Model 60 , George Olshevsky.
- Klitzing, Richard. "4D uniform polytopes (polychora) x o3x5x - tiddip".

In geometry, the **grand 600-cell** or **grand polytetrahedron** is a regular star 4-polytope with Schläfli symbol {3,3,5/2}. It is one of 10 regular Schläfli-Hess polytopes. It is the only one with 600 cells.

In geometry, the **small stellated 120-cell** or **stellated polydodecahedron** is a regular star 4-polytope with Schläfli symbol {5/2,5,3}. It is one of 10 regular Schläfli-Hess polytopes.

In geometry, the **icosahedral 120-cell**, **polyicosahedron**, **faceted 600-cell** or **icosaplex** is a regular star 4-polytope with Schläfli symbol {3,5,5/2}. It is one of 10 regular Schläfli-Hess polytopes.

In geometry, the **grand 120-cell** or **grand polydodecahedron** is a regular star 4-polytope with Schläfli symbol {5,3,5/2}. It is one of 10 regular Schläfli-Hess polytopes.

In geometry, the **great stellated 120-cell** or **great stellated polydodecahedron** is a regular star 4-polytope with Schläfli symbol {5/2,3,5}. It is one of 10 regular Schläfli-Hess polytopes.

In geometry, the **great icosahedral 120-cell**, **great polyicosahedron** or **great faceted 600-cell** is a regular star 4-polytope with Schläfli symbol {3,5/2,5}. It is one of 10 regular Schläfli-Hess polytopes.

In geometry, the **great 120-cell** or **great polydodecahedron** is a regular star 4-polytope with Schläfli symbol {5,5/2,5}. It is one of 10 regular Schläfli-Hess polytopes. It is one of the two such polytopes that is self-dual.

In geometry, the **grand stellated 120-cell** or **grand stellated polydodecahedron** is a regular star 4-polytope with Schläfli symbol {5/2,5,5/2}. It is one of 10 regular Schläfli-Hess polytopes. It is also one of two such polytopes that is self-dual.

In geometry, a **cuboctahedral prism** is a convex uniform 4-polytope. This 4-polytope has 16 polyhedral cells: 2 cuboctahedra connected by 8 triangular prisms and 6 cubes.

In geometry, a **truncated tetrahedral prism** is a convex uniform polychoron. This polychoron has 10 polyhedral cells: 2 truncated tetrahedra connected by 4 triangular prisms and 4 hexagonal prisms. It has 24 faces: 8 triangular, 18 square, and 8 hexagons. It has 48 edges and 24 vertices.

In geometry, an **icosahedral prism** is a convex uniform 4-polytope. This 4-polytope has 22 polyhedral cells: 2 icosahedra connected by 20 triangular prisms. It has 70 faces: 30 squares and 40 triangles. It has 72 edges and 24 vertices.

In 4-dimensional geometry, a **truncated octahedral prism** or **omnitruncated tetrahedral prism** is a convex uniform 4-polytope. This 4-polytope has 16 cells It has 64 faces, and 96 edges and 48 vertices.

In geometry, an **icosidodecahedral prism** is a convex uniform polychoron.

In geometry, a **rhombicosidodecahedral prism** or **small rhombicosidodecahedral prism** is a convex uniform polychoron.

In geometry, a **truncated cubic prism** is a convex uniform polychoron.

In geometry, a **snub cubic prism** or **snub cuboctahedral prism** is a convex uniform polychoron.

In geometry, a **truncated icosahedral prism** is a convex uniform polychoron.

In geometry, a **truncated icosidodecahedral prism** or **great rhombicosidodecahedral prism** is a convex uniform 4-polytope.

In geometry, a **snub dodecahedral prism** or **snub icosidodecahedral prism** is a convex uniform polychoron.

In geometry of 4 dimensions, a **3-6 duoprism**, a duoprism and 4-polytope resulting from the Cartesian product of a triangle and a hexagon.

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Images, videos and audio are available under their respective licenses.