# Trigonic small stellated dodecahedron faceting

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Trigonic small stellated dodecahedron faceting | |
---|---|

Rank | 3 |

Type | Orbiform |

Notation | |

Bowers style acronym | Tissidaf |

Elements | |

Faces | 6 triangles, 6 pentagrams |

Edges | 6+6+12 |

Vertices | 6+6 |

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

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

Measures (edge length 1) | |

Circumradius | |

Dihedral angles | 5/2–5/2: |

3-5/2 #1: | |

3-5/2 #2: | |

Related polytopes | |

Army | Ike |

Conjugate | Trigonic great dodecahedron faceting |

Convex hull | Icosahedron, edge length (√5–1)/2 |

Convex core | Rhombohedron |

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 small stellated dodecahedron faceting**, or **tissidaf**, is an orbiform polyhedron and, as its name suggests, an edge faceting of the small stellated dodecahedron. Its faces are 6 triangles and 6 pentagrams.

It appears as a cell of the great trigonal swirlprism and the great toroidal trigonal swirlprism.

## Vertex coordinates[edit | edit source]

Its vertex coordinates are the same as those of the small stellated dodecahedron.

## Gallery[edit | edit source]

## External links[edit | edit source]

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