Acronym
| ... |

Name
| spript+16 2thah (?) |

Circumradius
| sqrt[2+sqrt(2)] = 1.847759 |

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

General of army | srit |

Colonel of regiment | srit |

Confer
| spript 2thah |

This Grünbaumian polychoron can be seen as a union of spript plus the 16 pseudo-thah filled in as doubled up copies, in fact, these double-covers unite as 2thah, thereby letting the surface cross over at this former pseudo-cells. And indeed, the vertex figure is an asymmetric faceting of the vertex figure of srit. Therefore there can be blended 2 mirror symmetric such, and, correspondingly, the vertices of this polychoron coincide by pairs.

As abstract polytope spript+16 2thah is isomorphic to gapript+16 2thah, thereby replacing octagons by octagrams, resp. by replacing tic by quith and replacing op by stop.

Incidence matrix according to Dynkin symbol

x4x3o3/2x . . . . | 192 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 ----------+-----+------------+----------------+----------- x . . . | 2 | 96 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 192 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 192 | 0 1 0 1 1 | 0 1 1 1 ----------+-----+------------+----------------+----------- x4x . . | 8 | 4 4 0 | 48 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 96 * * * | 0 1 1 0 . x3o . | 3 | 0 3 0 | * * 64 * * | 1 0 0 1 . x . x | 4 | 0 2 2 | * * * 96 * | 0 1 0 1 . . o3/2x | 3 | 0 0 3 | * * * * 64 | 0 0 1 1 ----------+-----+------------+----------------+----------- x4x3o . ♦ 24 | 12 24 0 | 6 0 8 0 0 | 8 * * * x4x . x ♦ 16 | 8 8 8 | 2 4 0 4 0 | * 24 * * x . o3/2x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 32 * . x3o3/2x ♦ 12 | 0 12 12 | 0 0 4 6 4 | * * * 16

x4x3/2o3x . . . . | 192 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 ----------+-----+------------+----------------+----------- x . . . | 2 | 96 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 192 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 192 | 0 1 0 1 1 | 0 1 1 1 ----------+-----+------------+----------------+----------- x4x . . | 8 | 4 4 0 | 48 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 96 * * * | 0 1 1 0 . x3/2o . | 3 | 0 3 0 | * * 64 * * | 1 0 0 1 . x . x | 4 | 0 2 2 | * * * 96 * | 0 1 0 1 . . o3x | 3 | 0 0 3 | * * * * 64 | 0 0 1 1 ----------+-----+------------+----------------+----------- x4x3/2o . ♦ 24 | 12 24 0 | 6 0 8 0 0 | 8 * * * x4x . x ♦ 16 | 8 8 8 | 2 4 0 4 0 | * 24 * * x . o3x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 32 * . x3/2o3x ♦ 12 | 0 12 12 | 0 0 4 6 4 | * * * 16

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