Acronym
| ... |

Name
| groh+8{6/2} (?) |

Circumradius
| sqrt[5-2 sqrt(2)]/2 = 0.736813 |

Vertex figure | 2[4,6/2,8/3] |

Coordinates
| ((sqrt(2)-1)/2, 1/2, 1/2) & all permutations, all changes of sign |

General of army | tic |

Colonel of regiment | gocco |

Looks like a compound of a great rhombihexahedron (groh) plus 8 {6/2} fitting into the octahedral set of holes, and indeed vertices and {6/2}-edges both coincide by pairs.

Incidence matrix according to Dynkin symbol

x4/3x3/2x . . . | 48 | 1 1 1 | 1 1 1 ----------+----+----------+------- x . . | 2 | 24 * * | 1 1 0 . x . | 2 | * 24 * | 1 0 1 . . x | 2 | * * 24 | 0 1 1 ----------+----+----------+------- x4/3x . | 8 | 4 4 0 | 6 * * x . x | 4 | 2 0 2 | * 12 * . x3/2x | 6 | 0 3 3 | * * 8

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