# Pentapod

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Pentapod | |
---|---|

Rank | 2 |

Type | Semi-uniform |

Notation | |

Bowers style acronym | Pepod |

Coxeter diagram | x5/4y |

Elements | |

Edges | 5+5 |

Vertices | 10 |

Vertex figure | Dyad |

Measures (edge lengths a , b ) | |

Circumradius | |

Angle | 36° |

Related polytopes | |

Army | Dipeg |

Dual | Concave pentambus |

Abstract & topological properties | |

Flag count | 20 |

Orientable | Yes |

Properties | |

Symmetry | H_{2}, order 10 |

Convex | No |

Nature | Tame |

The **pentapod** is a semi-uniform polygon that has 10 sides of two different edge lengths. The angles of a pentapod are always 36 degrees. It is a faceting of the dipentagon.

A pentapod generally has the Coxeter diagram x5/4y, where the ratio between the two edge classes is greater than . If the ratio is less than this value, another semi-uniform polygon called the distellagon results. If the edge ratio is exactly , the degenerate complex dipentagon forms, which looks like a pentagon and pentagram sharing the same vertex set.

## External links[edit | edit source]

- Bowers, Jonathan. "Uniform Polygons".