Acronym
| ... |

Name
| sird+20{6/2} (?) |

Circumradius
| sqrt[sqrt(5)+11/4] = 2.232951 |

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

General of army | srid |

Colonel of regiment | srid |

Confer
| sird sird+12{10/2} |

Looks like a compound of small rhombidodecahedron (sird) plus 20 {6/2} fitting into the icosahedral set of holes, and indeed vertices and {6/2}-edges both coincide by pairs.

Incidence matrix according to Dynkin symbol

x3/2x5x . . . | 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 --------+-----+----------+--------- x3/2x . | 6 | 3 3 0 | 20 * * x . x | 4 | 2 0 2 | * 30 * . x5x | 10 | 0 5 5 | * * 12 snubbed forms: s3/2s5s

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