# Trigonic great dodecahedron faceting

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Trigonic great dodecahedron faceting | |
---|---|

Rank | 3 |

Type | Orbiform |

Notation | |

Bowers style acronym | Tigdaf |

Elements | |

Faces | 6 triangles, 6 pentagons |

Edges | 6+6+12 |

Vertices | 6+6 |

Vertex figures | 6 butterflies, edge lengths 1 and (1+√5)/2 |

6 crossed isosceles trapezoids, edge lengths 1, (1+√5)/2, (1+√5)/2, (1+√5)/2 | |

Measures (edge length 1) | |

Circumradius | |

Dihedral angles | 3-5 #1: |

5-5: | |

3-5 #2: | |

Number of external pieces | 30 |

Level of complexity | 16 |

Related polytopes | |

Army | Ike |

Conjugate | Trigonic small stellated dodecahedron faceting |

Convex hull | Icosahedron |

Convex core | Obtuse golden rhombohedron, edge length 1 |

Abstract & topological properties | |

Flag count | 96 |

Euler characteristic | 0 |

Orientable | No |

Genus | 2 |

Properties | |

Symmetry | (G_{2}×A_{1})/2, order 12 |

Convex | No |

Nature | Tame |

The **trigonic great dodecahedron faceting** or **tigdaf**, also known as the **accordion**, is an orbiform polyhedron and an edge faceting of the icosahedron. Its faces are 6 triangles and 6 pentagons.

It appears as a cell of the small trigonal swirlprism.

## Vertex coordinates[edit | edit source]

Its vertex coordinates are the same as those of the icosahedron.

## Gallery[edit | edit source]

## External links[edit | edit source]

- Bowers, Jonathan. "Batch 2: Ike and Sissid Facetings" (#9 under ike).

- Klitzing, Richard. "ike-facetings".