# Tetrapod

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Tetrapod | |
---|---|

Rank | 2 |

Type | Semi-uniform |

Notation | |

Bowers style acronym | Tepod |

Coxeter diagram | x4/3y |

Elements | |

Edges | 4+4 |

Vertices | 8 |

Vertex figure | Dyad |

Measures (edge lengths a , b ) | |

Circumradius | |

Angle | 45° |

Related polytopes | |

Army | Diteg |

Dual | Concave tetrambus |

Abstract & topological properties | |

Flag count | 16 |

Orientable | Yes |

Properties | |

Symmetry | B_{2}, order 8 |

Convex | No |

Nature | Tame |

The **tetrapod** is a semi-uniform polygon that has 8 sides of two different edge lengths. The angles of a tetrapod are always 45 degrees. It is a faceting of the ditetragon.

A tetrapod generally has the Coxeter diagram x4/3y, 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 ditetragram results. If the edge ratio is exactly , the polygon degenerates into something that looks like a square with its diagonals drawn in, except that each diagonal edge is double-covered.

## Vertex coordinates[edit | edit source]

A tetrapod with minor edge length 1 and major edge length x centered at the origin will have vertex coordinates given by all permutations of:

## External links[edit | edit source]

- Bowers, Jonathan. "Uniform Polygons".