Acronym ... Name 2howoh (?) Circumradius sqrt(3) = 1.732051 Coordinates (sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0)   & all permutations, all changes of sign General of army sart Colonel of regiment sart Confer non-Grünbaumian master: howoh

This Grünbaumian polyteron indeed has all elements in coincident pairs, only thoee, which are Grünbaumian themselves, provide the cross-linkage. Accordingly the vertex figure is the same as for howoh.

Incidence matrix according to Dynkin symbol

```x3o3x3o3/2x3*b

. . . .   .    | 480 ♦   2   4   4 |   1   4   4   2   2   2   4   2 |  2  2   2   4   2  1  2  1  2 |  1  2  1  2  1
---------------+-----+-------------+---------------------------------+-------------------------------+---------------
x . . .   .    |   2 | 480   *   * |   1   2   2   0   0   0   0   0 |  2  2   1   2   1  0  0  0  0 |  1  2  1  1  0
. . x .   .    |   2 |   * 960   * |   0   1   0   1   0   1   1   0 |  1  0   1   1   0  1  1  0  1 |  1  1  0  1  1
. . . .   x    |   2 |   *   * 960 |   0   0   1   0   1   0   1   1 |  0  1   0   1   1  0  1  1  1 |  0  1  1  1  1
---------------+-----+-------------+---------------------------------+-------------------------------+---------------
x3o . .   .    |   3 |   3   0   0 | 160   *   *   *   *   *   *   * |  2  2   0   0   0  0  0  0  0 |  1  2  1  0  0
x . x .   .    |   4 |   2   2   0 |   * 480   *   *   *   *   *   * |  1  0   1   1   0  0  0  0  0 |  1  1  0  1  0
x . . .   x    |   4 |   2   0   2 |   *   * 480   *   *   *   *   * |  0  1   0   1   1  0  0  0  0 |  0  1  1  1  0
. o3x .   .    |   3 |   0   3   0 |   *   *   * 320   *   *   *   * |  1  0   0   0   0  1  1  0  0 |  1  1  0  0  1
. o . .   x3*b |   3 |   0   0   3 |   *   *   *   * 320   *   *   * |  0  1   0   0   0  0  1  1  0 |  0  1  1  0  1
. . x3o   .    |   3 |   0   3   0 |   *   *   *   *   * 320   *   * |  0  0   1   0   0  1  0  0  1 |  1  0  0  1  1
. . x .   x    |   4 |   0   2   2 |   *   *   *   *   *   * 480   * |  0  0   0   1   0  0  1  0  1 |  0  1  0  1  1
. . . o3/2x    |   3 |   0   0   3 |   *   *   *   *   *   *   * 320 |  0  0   0   0   1  0  0  1  1 |  0  0  1  1  1
---------------+-----+-------------+---------------------------------+-------------------------------+---------------
x3o3x .   .    ♦  12 |  12  12   0 |   4   6   0   4   0   0   0   0 | 80  *   *   *   *  *  *  *  * |  1  1  0  0  0
x3o . .   x3*b ♦  12 |  12   0  12 |   4   0   6   0   4   0   0   0 |  * 80   *   *   *  *  *  *  * |  0  1  1  0  0
x . x3o   .    ♦   6 |   3   6   0 |   0   3   0   0   0   2   0   0 |  *  * 160   *   *  *  *  *  * |  1  0  0  1  0
x . x .   x    ♦   8 |   4   4   4 |   0   2   2   0   0   0   2   0 |  *  *   * 240   *  *  *  *  * |  0  1  0  1  0
x . . o3/2x    ♦   6 |   3   0   6 |   0   0   3   0   0   0   0   2 |  *  *   *   * 160  *  *  *  * |  0  0  1  1  0
. o3x3o   .    ♦   6 |   0  12   0 |   0   0   0   4   0   4   0   0 |  *  *   *   *   * 80  *  *  * |  1  0  0  0  1
. o3x .   x3*b ♦  12 |   0  12  12 |   0   0   0   4   4   0   6   0 |  *  *   *   *   *  * 80  *  * |  0  1  0  0  1
. o . o3/2x3*b ♦   6 |   0   0  12 |   0   0   0   0   4   0   0   4 |  *  *   *   *   *  *  * 80  * |  0  0  1  0  1
. . x3o3/2x    ♦  12 |   0  12  12 |   0   0   0   0   0   4   6   4 |  *  *   *   *   *  *  *  * 80 |  0  0  0  1  1
---------------+-----+-------------+---------------------------------+-------------------------------+---------------
x3o3x3o   .    ♦  30 |  30  60   0 |  10  30   0  20   0  20   0   0 |  5  0  10   0   0  5  0  0  0 | 16  *  *  *  *
x3o3x .   x3*b ♦  96 |  96  96  96 |  32  48  48  32  32   0  48   0 |  8  8   0  24   0  0  8  0  0 |  * 10  *  *  *
x3o . o3/2x3*b ♦  30 |  30   0  60 |  10   0  30   0  20   0   0  20 |  0  5   0   0  10  0  0  5  0 |  *  * 16  *  *
x . x3o3/2x    ♦  24 |  12  24  24 |   0  12  12   0   0   8  12   8 |  0  0   4   6   4  0  0  0  2 |  *  *  * 40  *
. o3x3o3/2x3*b ♦  48 |   0  96  96 |   0   0   0  32  32  32  48  32 |  0  0   0   0   0  8  8  8  8 |  *  *  *  * 10
```