| Acronym | ... |
| Name | frox+600 2thah (?) |
| Circumradius | sqrt[5+2 sqrt(5)] = 3.077684 |
| General of army | rox |
| Colonel of regiment | rox |
| Confer |
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This Grünbaumian polychoron can be seen as a union of frox plus the 600 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 a crossed faceting of a golden-triangular prismatic part of the pip vertex figure of rox. Therefore the vertices of this polychoron coincide by 5.
As abstract polytope frox+600 2thah is isomorphic to ripahi+600 2thah, thereby replacing pentagons by pentagrams, resp. by replacing id by gid and replacing pip by stip.
Incidence matrix according to Dynkin symbol
x3o3/2x5o . . . . | 3600 | 2 4 | 1 4 2 2 | 2 2 1 ----------+------+-----------+---------------------+------------ x . . . | 2 | 3600 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 7200 | 0 1 1 1 | 1 1 1 ----------+------+-----------+---------------------+------------ x3o . . | 3 | 3 0 | 1200 * * * | 2 0 0 x . x . | 4 | 2 2 | * 3600 * * | 1 1 0 . o3/2x . | 3 | 0 3 | * * 2400 * | 1 0 1 . . x5o | 5 | 0 5 | * * * 1440 | 0 1 1 ----------+------+-----------+---------------------+------------ x3o3/2x . ♦ 12 | 12 12 | 4 6 4 0 | 600 * * x . x5o ♦ 10 | 5 10 | 0 5 0 2 | * 720 * . o3/2x5o ♦ 30 | 0 60 | 0 0 20 12 | * * 120
x3o3/2x5/4o . . . . | 3600 | 2 4 | 1 4 2 2 | 2 2 1 ------------+------+-----------+---------------------+------------ x . . . | 2 | 3600 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 7200 | 0 1 1 1 | 1 1 1 ------------+------+-----------+---------------------+------------ x3o . . | 3 | 3 0 | 1200 * * * | 2 0 0 x . x . | 4 | 2 2 | * 3600 * * | 1 1 0 . o3/2x . | 3 | 0 3 | * * 2400 * | 1 0 1 . . x5/4o | 5 | 0 5 | * * * 1440 | 0 1 1 ------------+------+-----------+---------------------+------------ x3o3/2x . ♦ 12 | 12 12 | 4 6 4 0 | 600 * * x . x5/4o ♦ 10 | 5 10 | 0 5 0 2 | * 720 * . o3/2x5/4o ♦ 30 | 0 60 | 0 0 20 12 | * * 120
x3/2o3x5o . . . . | 3600 | 2 4 | 1 4 2 2 | 2 2 1 ----------+------+-----------+---------------------+------------ x . . . | 2 | 3600 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 7200 | 0 1 1 1 | 1 1 1 ----------+------+-----------+---------------------+------------ x3/2o . . | 3 | 3 0 | 1200 * * * | 2 0 0 x . x . | 4 | 2 2 | * 3600 * * | 1 1 0 . o3x . | 3 | 0 3 | * * 2400 * | 1 0 1 . . x5o | 5 | 0 5 | * * * 1440 | 0 1 1 ----------+------+-----------+---------------------+------------ x3/2o3x . ♦ 12 | 12 12 | 4 6 4 0 | 600 * * x . x5o ♦ 10 | 5 10 | 0 5 0 2 | * 720 * . o3x5o ♦ 30 | 0 60 | 0 0 20 12 | * * 120
x3/2o3x5/4o . . . . | 3600 | 2 4 | 1 4 2 2 | 2 2 1 ------------+------+-----------+---------------------+------------ x . . . | 2 | 3600 * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 7200 | 0 1 1 1 | 1 1 1 ------------+------+-----------+---------------------+------------ x3/2o . . | 3 | 3 0 | 1200 * * * | 2 0 0 x . x . | 4 | 2 2 | * 3600 * * | 1 1 0 . o3x . | 3 | 0 3 | * * 2400 * | 1 0 1 . . x5/4o | 5 | 0 5 | * * * 1440 | 0 1 1 ------------+------+-----------+---------------------+------------ x3/2o3x . ♦ 12 | 12 12 | 4 6 4 0 | 600 * * x . x5/4o ♦ 10 | 5 10 | 0 5 0 2 | * 720 * . o3x5/4o ♦ 30 | 0 60 | 0 0 20 12 | * * 120
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