Acronym
| ... |

Name
| sird+12{10/2} (?) |

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

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

General of army | srid |

Colonel of regiment | srid |

Confer
| sird sird+20{6/2} |

Looks like a compound of a small rhombidodecahedron (sird) plus 12 {10/2} fitting into the dodecahedral set of holes, and indeed vertices and {10/2}-edges both coincide by pairs.

Incidence matrix according to Dynkin symbol

x5/2x5x . . . | 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 --------+-----+----------+--------- x5/2x . | 10 | 5 5 0 | 12 * * x . x | 4 | 2 0 2 | * 30 * . x5x | 10 | 0 5 5 | * * 12 snubbed forms: β5/2x5x, x5/2β5x, x5/2x5β, β5/2β5x, β5/2x5β, x5/2β5β, s5/2s5s

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