# Small ditrigonary dishecatonicosachoron

(Redirected from Sidditdy)

Small ditrigonary dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sidditdy |

Coxeter diagram | (o3x5/2o3/2x5/3*a3*c *b5*d)/2 |

Elements | |

Cells | 120 small ditrigonary icosidodecahedra, 120 small ditrigonal dodecicosidodecahedra |

Faces | 2400 triangles, 1440 pentagrams, 720 decagons |

Edges | 7200 |

Vertices | 1200 |

Vertex figure | Crossed ditrigonal trapezoprism, edge lengths 1 and (√5–1)/2 (base) and √(5+√5)/2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Sidditdid–10–sidditdid: 144° |

Sidtid–5/2–sidditdid: 72° | |

Sidtid–3–sidditdid: 60° | |

Related polytopes | |

Army | Rahi |

Regiment | Rissidtixhi |

Conjugate | Great ditrigonary dishecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | –1680 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **small ditrigonary dishecatonicosachoron**, or **sidditdy**, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra and 120 small ditrigonal dodecicosidodecahedra. 2 small ditrigonary icosidodecahedra and 6 small ditrigonal dodecicosidodecahedra join at each vertex.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.

## Related polychora[edit | edit source]

Index | Name | OBSA | Company | Subcategory |
---|---|---|---|---|

1147 | Rectified small ditrigonary hexacosihecatonicosachoron | Rissidtixhi | Rissidtixhi | Main nine |

1148 | Rectified ditrigonary dishecatonicosachoron | Ridtidohi | Ridtidohi | Main nine |

1149 | Rectified great ditrigonary hexacosihecatonicosachoron | Riggidtixhi | Riggidtixhi | Main nine |

1150 | Small ditrigonary dishecatonicosachoron | Sidditdy | Sidditdy | Main nine |

1151 | Retroditrigonary dishecatonicosachoron | Ridditdy | Ridditdy | Main nine |

1152 | Great ditrigonary dishecatonicosachoron | Gidditdy | Gidditdy | Main nine |

1153 | Ditrigonary hexacosidishecatonicosachoron | Dittixdy | Main nine | |

1154 | Ditrigonary trishecatonicosachoron | Dittathi | Main nine | |

1155 | Toroidal ditrigonary hexacosidishecatonicosachoron | Todtixady | Main nine | |

1156 | Small ditrigonary dishecatonicosihecatonicosachoron | Sidtid hihy | Sixteen trapezics | |

1157 | Ditrigonary hecatonicosidishecatonicosachoron | Dithidy | Sixteen trapezics |

## External links[edit | edit source]

- Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1150).

- Klitzing, Richard. "sidditdy".