Acronym | ... |
Name | pirpop+5 2thah (?) |
Circumradius | sqrt(7/5) = 1.183216 |
General of army | srip |
Colonel of regiment | srip |
Confer |
|
This Grünbaumian polychoron can be seen as a union of pirpop plus the 5 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 srip. Therefore there can be blended 2 mirror symmetric such, and, correspondingly, the vertices of this polychoron coincide by pairs.
Incidence matrix according to Dynkin symbol
x3x3o3/2x . . . . | 60 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 ----------+----+----------+----------------+---------- x . . . | 2 | 30 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 60 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 60 | 0 1 0 1 1 | 0 1 1 1 ----------+----+----------+----------------+---------- x3x . . | 6 | 3 3 0 | 20 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 30 * * * | 0 1 1 0 . x3o . | 3 | 0 3 0 | * * 20 * * | 1 0 0 1 . x . x | 4 | 0 2 2 | * * * 30 * | 0 1 0 1 . . o3/2x | 3 | 0 0 3 | * * * * 20 | 0 0 1 1 ----------+----+----------+----------------+---------- x3x3o . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 5 * * * x3x . x ♦ 12 | 6 6 6 | 2 3 0 3 0 | * 10 * * x . o3/2x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 10 * . x3o3/2x ♦ 12 | 0 12 12 | 0 0 4 6 4 | * * * 5
x3x3/2o3x . . . . | 60 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 ----------+----+----------+----------------+---------- x . . . | 2 | 30 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 60 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 60 | 0 1 0 1 1 | 0 1 1 1 ----------+----+----------+----------------+---------- x3x . . | 6 | 3 3 0 | 20 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 30 * * * | 0 1 1 0 . x3/2o . | 3 | 0 3 0 | * * 20 * * | 1 0 0 1 . x . x | 4 | 0 2 2 | * * * 30 * | 0 1 0 1 . . o3x | 3 | 0 0 3 | * * * * 20 | 0 0 1 1 ----------+----+----------+----------------+---------- x3x3/2o . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 5 * * * x3x . x ♦ 12 | 6 6 6 | 2 3 0 3 0 | * 10 * * x . o3x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 10 * . x3/2o3x ♦ 12 | 0 12 12 | 0 0 4 6 4 | * * * 5
© 2004-2024 | top of page |