# Blended tetracontoctasnub distetracontoctachoron

The **blended tetracontoctasnub distetracontoctachoron** or **becsadic** is a nonconvex scaliform polychoron that consists of 96 regular tetrahedra forming 48 stellae octangulae, 288 more tetrahedra, and 48 blends of 4 truncated cubes. 1+3 tetrahedra and 6 blends of 4 truncated cubes join at each vertex.

Blended tetracontoctasnub distetracontoctachoron | |
---|---|

Rank | 4 |

Type | Scaliform |

Notation | |

Bowers style acronym | Becsadic |

Elements | |

Cells | 96 tet as 48 so 288 tet 48 fortic |

Faces | 384+1152 triangles 288 octagons |

Edges | 1152 3-fold 576 4-fold 192 6-fold |

Vertices | 384 |

Vertex figure | Blend of 4 triangular pyramids |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Central density | 12 |

Related polytopes | |

Army | Bitec |

Regiment | Becsadic |

Conjugate | Quasiblended tetracontoctasnub distetracontoctachoron |

Abstract & topological properties | |

Euler characteristic | -144 |

Orientable | Yes |

Properties | |

Symmetry | F4×2, order 2304 |

Convex | No |

Nature | Tame |

It can be constructed as a blend of 24 truncated tesseracts, grouping into 6 core full-symmetric truncated tesseracts and 18 sub-symmetric ones, in the same way as the blend of 24 small disprismatotesseractihexadecachora. Its vertex figure is in turn a blend of 1+3 vertex figures of the truncated tesseract. It has tetracontoctachoric symmetry.

## Vertex coordinates edit

The vertices of a blended tetracontoctasnub distetracontoctachoron of edge length 1 are given by all permutations of:

The second set of vertices are identical to the vertices of an inscribed truncated tesseract.

## External links edit

- Bowers, Jonathan. "Category S3: Special Scaliforms" (#S36).