Acronym
| ... |

Name
| giddy+20{6/2} |

Circumradius
| sqrt[(17-3 sqrt(5))/8] = 1.134229 |

Vertex figure | 2[6/2,10/3,6] |

General of army | tid |

Colonel of regiment | gidditdid |

Looks like a compound of a great dodekicosahedron (giddy) 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

x3/2x5/3x3*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 -------------+-----+----------+--------- x3/2x . | 6 | 3 3 0 | 20 * * x . x3*a | 6 | 3 0 3 | * 20 * . x5/3x | 10 | 0 5 5 | * * 12

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