Acronym
| ... |

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

Circumradius
| sqrt[5+2 sqrt(2)]/2 = 1.398966 |

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

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

General of army | sirco |

Colonel of regiment | sirco |

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

Incidence matrix according to Dynkin symbol

x3/2x4x . . . | 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 --------+----+----------+------- x3/2x . | 6 | 3 3 0 | 8 * * x . x | 4 | 2 0 2 | * 12 * . x4x | 8 | 0 4 4 | * * 6

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