# Dodecagrammic prism

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Dodecagrammic prism | |
---|---|

Rank | 3 |

Type | Uniform |

Notation | |

Bowers style acronym | Stwip |

Coxeter diagram | x x12/5o () |

Elements | |

Faces | 12 squares, 2 dodecagrams |

Edges | 12+24 |

Vertices | 24 |

Vertex figure | Isosceles triangle, edge lengths √2, √2, √2–√3 |

Measures (edge length 1) | |

Circumradius | |

Volume | |

Dihedral angles | 4–12/5: 90° |

4–4: 30° | |

Height | 1 |

Central density | 5 |

Number of external pieces | 26 |

Level of complexity | 6 |

Related polytopes | |

Army | Semi-uniform Twip, edge lengths (base), 1 (sides) |

Regiment | Stwip |

Dual | Dodecagrammic tegum |

Conjugate | Dodecagonal prism |

Convex core | Dodecagonal prism |

Abstract & topological properties | |

Flag count | 144 |

Euler characteristic | 2 |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | I_{2}(12)×A_{1}, order 48 |

Convex | No |

Nature | Tame |

The **dodecagrammic prism** or **stwip** is a prismatic uniform polyhedron. It consists of 2 dodecagrams and 12 squares. Each vertex joins one dodecagram and two squares. As the name suggests, it is a prism based on a dodecagram.

## Vertex coordinates[edit | edit source]

A dodecagrammic prism of edge length 1 has vertex coordinates given by:

## External links[edit | edit source]

- Wikipedia contributors. "Dodecagrammic prism".