# Diminished demipenteract

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Diminished demipenteract | |
---|---|

Rank | 5 |

Type | Segmentotope |

Notation | |

Bowers style acronym | Dihin |

Coxeter diagram | oo3xo3oo3ox&#x |

Elements | |

Tera | 1+10 pen, 1 rap, 5 hex, 5 octpy |

Cells | 5+5+10+20+20+30 tet, 5 oct |

Faces | 10+10+20+30+60 triangles |

Edges | 10+30+30 |

Vertices | 5+10 |

Vertex figures | 5 rap |

10 traf | |

Measures (edge length 1) | |

Circumradius | |

Height | pen atop inv rap: |

Central density | 1 |

Army | Dihin |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

Symmetry | A4×I, order 120 |

Convex | Yes |

Nature | Tame |

The **diminished demipenteract** is a CRF segmentoteron. It consists of 1 pentachoron, 1 rectified pentachoron, 5 hexadecachora, 5 octahedral pyramids, and 10 further pentachora.

It can be viewed as a segmentoteron between pen and inverted rap or between octpy and gyro hex.

It is the result of diminishing a rectified pentachoric pyramid off a demipenteract.

A non-equilateral variant of this polyteron appears as the vertex figure of the small cellidemihexeract.

## External links[edit | edit source]

- Klitzing, Richard. "dihin".