Acronym
| ... |

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

Circumradius
| sqrt[(17+3 sqrt(5))/8] = 1.721489 |

Vertex figure | 2[10/4,6,10] |

General of army | f3o5x |

Colonel of regiment | siid |

Looks like a compound of a small dodekicosahedron (siddy) 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

x5/4x3x5*a . . . | 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 . x5*a | 10 | 5 0 5 | * 12 * . x3x | 6 | 0 3 3 | * * 20

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