# Replenished great icosahedron-small stellated dodecahedron morpher

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Replenished great icosahedron-small stellated dodecahedron morpher | |
---|---|

Rank | 3 |

Type | Orbiform |

Notation | |

Bowers style acronym | Rigsisdom |

Elements | |

Faces | 5 triangles, 1+1+5 pentagrams |

Edges | 5+5+5+10 |

Vertices | 1+5+5 |

Vertex figures | 1 pentagon, edge length (√5–1)/2 |

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

5 nonconvex pentagons, edge lengths 1, (√5–1)/2, (√5–1)/2, 1, (√5–1)/2 | |

Measures (edge length 1) | |

Circumradius | |

Volume | |

Dihedral angles | 5/2–5/2: |

3-5/2: | |

Related polytopes | |

Army | Gyepip, edge length |

Regiment | Regi |

Conjugate | Diminished icosahedron-great dodecahedron morpher |

Abstract & topological properties | |

Flag count | 100 |

Orientable | Yes |

Properties | |

Symmetry | H_{2}×I, order 10 |

Convex | No |

Nature | Tame |

The **replenished great icosahedron-small stellated dodecahedron morpher** or **rigsisdom**, also called the **replenished gike-sissid morpher**, is a nonconvex orbiform polyhedron and an edge faceting of the small stellated dodecahedron. Its faces are 5 triangles and 1+1+5 pentagrams. It can be constructed from the great icosahedron-small stellated dodecahedron morpher by diminishing its great icosahedral vertex.

## Vertex coordinates[edit | edit source]

Its vertex coordinates are the same as those of the small stellated dodecahedron with any one vertex removed.

## External links[edit | edit source]

- Bowers, Jonathan. "Batch 2: Ike and Sissid Facetings" (#6 under sissid).