# Transitional 10-3 bigyrochoron

The **transitional 10-3 bigyrochoron**, also known as the **stegosaur 20**, is a convex isochoric polychoron with 20 identical cells.

Transitional 10-3 bigyrochoron | |
---|---|

Rank | 4 |

Type | Isotopic |

Elements | |

Cells | 20 15-vertex hendecahedra |

Faces | 40 scalene triangles, 40 irregular tetragons, 10 squares, 20 mirror-symmetric octagons |

Edges | 40+40+40+40 |

Vertices | 10+20+40 |

Vertex figure | 10 rectangular trapezoprisms, 40 phyllic disphenoids, 20 rhombic disphenoids |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Transitional 10-3 double step prism |

Abstract & topological properties | |

Flag count | 1920 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | S_{2}(I_{2}(10)-3)×2I, order 40 |

Flag orbits | 48 |

Convex | Yes |

Nature | Tame |

Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric octagons, 1 square, 4 irregular tetragons, and 4 scalene triangles for faces.

## External links edit

- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".