Acronym
| ... |

Name
| gird+12{10/4} (?) |

Circumradius
| sqrt[-sqrt(5)+11/4] = 0.716891 |

Vertex figure | 2[10/4,10/3,4] |

General of army | f3x5o |

Colonel of regiment | gaddid |

Looks like a compound of a great rhombidodecahedron (gird) plus 12 {10/4} fitting into the dodecahedral set of holes, and indeed vertices and {10/4}-edges both coincide by pairs.

Incidence matrix according to Dynkin symbol

x5/4x5/3x . . . | 120 | 1 1 1 | 1 1 1 ----------+-----+----------+--------- x . . | 2 | 60 * * | 1 1 0 . x . | 2 | * 60 * | 1 0 1 . . x | 2 | * * 60 | 0 1 1 ----------+-----+----------+--------- x5/4x . | 10 | 5 5 0 | 12 * * x . x | 4 | 2 0 2 | * 30 * . x5/3x | 10 | 0 5 5 | * * 12

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