Acronym rawvsa
Name retrosphenary hepteract
Circumradius sqrt[17+10 sqrt(2)]/2 = 2.790257
Coordinates ((1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army sersa
Colonel of regiment sersa
Face vector 2688, 16128, 26432, 20720, 9184, 2044, 156
Confer
general polytopal classes:
Wythoffian polypeta  

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


Incidence matrix according to Dynkin symbol

o3o3o3o3x3o4/3x4*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*e |    8 |     4    4 |     *    * 3360   * |     0    0    4   1 |    0    0   6   4 |   0   0   4  6 |   0  1  4
. . . . . o4/3x    |    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*e    24 |    24   12 |     8    0    6   0 |     *    * 2240   * |    0    0   3   1 |   0   0   3  3 |   0  1  3
. . . . x3o4/3x4*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*e    64 |    96   32 |    64    0   24   0 |    16    0    8   0 |    *    * 840   * |   0   0   2  1 |   0  1  2
. . . o3x3o4/3x4*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*e   160 |   320   80 |   320    0   80   0 |   160    0   40   0 |   32    0  10   0 |   *   * 168  * |   0  1  1
. . o3o3x3o4/3x4*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*e   384 |   960  192 |  1280    0  240   0 |   960    0  160   0 |  384    0  60   0 |  64   0  12  0 |   * 14  *
. o3o3o3x3o4/3x4*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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