Acronym wovsosaz
Name sphenoverted hepteracti-hepteracti-hecatonicosoctaexon
Circumradius sqrt[17-10 sqrt(2)]/2 = 0.845261
Coordinates ((sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment (is itself locally convex – other uniform polyteral members:
by facets: hixip qrax quotox ril wavaxixog
quersa 4481401280
wovsosaz 001412814
  & others)
Face vector 2688, 16128, 26432, 20720, 9184, 2044, 156
Confer
general polytopal classes:
Wythoffian polypeta  

As abstract polytope wovsosaz is isomorphic to rawvsa, thereby replacing octagrams by octagons, resp. quith by tic and gocco by socco, resp. quitit by tat and wavitoth by rawvatoth, resp. quittin by tan and wavinant by rawn, resp. quotox by tox and wavaxixog by rawvax.


Incidence matrix according to Dynkin symbol

o3o3o3o3x3o4x4/3*e

. . . . . . .      | 2688 |    10    2 |    20    5   10   1 |    20   10   20   5 |   10   10  20  10 |   2   5  10 10 |   1  2  5
-------------------+------+------------+---------------------+---------------------+-------------------+----------------+----------
. . . . x . .      |    2 | 13440    * |     4    1    1   0 |     6    4    4   1 |    4    6   6   4 |   1   4   4  6 |   1  1  4
. . . . . . x      |    2 |     * 2688 |     0    0    5   1 |     0    0   10   5 |    0    0  10  10 |   0   0   5 10 |   0  1  5
-------------------+------+------------+---------------------+---------------------+-------------------+----------------+----------
. . . o3x . .      |    3 |     3    0 | 17920    *    *   * |     3    1    1   0 |    3    3   3   1 |   1   3   3  3 |   1  1  3
. . . . x3o .      |    3 |     3    0 |     * 4480    *   * |     0    4    0   1 |    0    6   0   4 |   0   4   0  6 |   1  0  4
. . . . x . x4/3*e |    8 |     4    4 |     *    * 3360   * |     0    0    4   1 |    0    0   6   4 |   0   0   4  6 |   0  1  4
. . . . . o4x      |    4 |     0    4 |     *    *    * 672      0    0    0   5 |    0    0   0  10 |   0   0   0 10 |   0  0  5
-------------------+------+------------+---------------------+---------------------+-------------------+----------------+----------
. . o3o3x . .          4 |     6    0 |     4    0    0   0 | 13440    *    *   * |    2    1   1   0 |   1   2   2  1 |   1  1  2
. . . o3x3o .          6 |    12    0 |     4    4    0   0 |     * 4480    *   * |    0    3   0   1 |   0   3   0  3 |   1  0  3
. . . o3x . x4/3*e    24 |    24   12 |     8    0    6   0 |     *    * 2240   * |    0    0   3   1 |   0   0   3  3 |   0  1  3
. . . . x3o4x4/3*e    24 |    24   24 |     0    8    6   6 |     *    *    * 560     0    0   0   4 |   0   0   0  6 |   0  0  4
-------------------+------+------------+---------------------+---------------------+-------------------+----------------+----------
. o3o3o3x . .          5 |    10    0 |    10    0    0   0 |     5    0    0   0 | 5376    *   *   * |   1   1   1  0 |   1  1  1
. . o3o3x3o .         10 |    30    0 |    20   10    0   0 |     5    5    0   0 |    * 2688   *   * |   0   2   0  1 |   1  0  2
. . o3o3x . x4/3*e    64 |    96   32 |    64    0   24   0 |    16    0    8   0 |    *    * 840   * |   0   0   2  1 |   0  1  2
. . . o3x3o4x4/3*e    96 |   192   96 |    64   64   48  24 |     0   16    8   8 |    *    *   * 280 |   0   0   0  3 |   0  0  3
-------------------+------+------------+---------------------+---------------------+-------------------+----------------+----------
o3o3o3o3x . .          6 |    15    0 |    20    0    0   0 |    15    0    0   0 |    6    0   0   0 | 896   *   *  * |   1  1  0
. o3o3o3x3o .         15 |    60    0 |    60   20    0   0 |    30   15    0   0 |    6    6   0   0 |   * 896   *  * |   1  0  1
. o3o3o3x . x4/3*e   160 |   320   80 |   320    0   80   0 |   160    0   40   0 |   32    0  10   0 |   *   * 168  * |   0  1  1
. . o3o3x3o4x4/3*e   320 |   960  320 |   640  320  240  80 |   160  160   80  40 |    0   32  10  10 |   *   *   * 84 |   0  0  2
-------------------+------+------------+---------------------+---------------------+-------------------+----------------+----------
o3o3o3o3x3o .         21 |   105    0 |   140   35    0   0 |   105   35    0   0 |   42   21   0   0 |   7   7   0  0 | 128  *  *
o3o3o3o3x . x4/3*e   384 |   960  192 |  1280    0  240   0 |   960    0  160   0 |  384    0  60   0 |  64   0  12  0 |   * 14  *
. o3o3o3x3o4x4/3*e   960 |  3840  960 |  3840 1280  960 240 |  1920  960  480 160 |  384  384 120  60 |   0  64  12 12 |   *  * 14

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