Acronym wavaxixog
Name sphenoverted hexeracti-hexeracti-hexacontatetrapeton
Circumradius sqrt[(7-4 sqrt(2))/2] = 0.819496
Coordinates ((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: penp quarn quittin rix wavinant
qrax 192120640
wavaxixog 00126412
  & others)
Face vector 960, 4800, 6320, 3520, 948, 88
Confer
general polytopal classes:
Wythoffian polypeta  

As abstract polytope wavaxixog is isomorphic to rawvax, 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.


Incidence matrix according to Dynkin symbol

o3o3o3x3o4x4/3*d

. . . . . .      | 960 |    8   2 |   12    4   8   1 |    8   6  12   4 |   2   4   8  6 |  1  2  4
-----------------+-----+----------+-------------------+------------------+----------------+---------
. . . x . .      |   2 | 3840   * |    3    1   1   0 |    3   3   3   1 |   1   3   3  3 |  1  1  3
. . . . . x      |   2 |    * 960 |    0    0   4   1 |    0   0   6   4 |   0   0   4  6 |  0  1  4
-----------------+-----+----------+-------------------+------------------+----------------+---------
. . o3x . .      |   3 |    3   0 | 3840    *   *   * |    2   1   1   0 |   1   2   2  1 |  1  1  2
. . . x3o .      |   3 |    3   0 |    * 1280   *   * |    0   3   0   1 |   0   3   0  3 |  1  0  3
. . . x . x4/3*d |   8 |    4   4 |    *    * 960   * |    0   0   3   1 |   0   0   3  3 |  0  1  3
. . . . o4x      |   4 |    0   4 |    *    *   * 240     0   0   0   4 |   0   0   0  6 |  0  0  4
-----------------+-----+----------+-------------------+------------------+----------------+---------
. o3o3x . .         4 |    6   0 |    4    0   0   0 | 1920   *   *   * |   1   1   1  0 |  1  1  1
. . o3x3o .         6 |   12   0 |    4    4   0   0 |    * 960   *   * |   0   2   0  1 |  1  0  2
. . o3x . x4/3*d   24 |   24  12 |    8    0   6   0 |    *   * 480   * |   0   0   2  1 |  0  1  2
. . . x3o4x4/3*d   24 |   24  24 |    0    8   6   6 |    *   *   * 160 |   0   0   0  3 |  0  0  3
-----------------+-----+----------+-------------------+------------------+----------------+---------
o3o3o3x . .         5 |   10   0 |   10    0   0   0 |    5   0   0   0 | 384   *   *  * |  1  1  0
. o3o3x3o .        10 |   30   0 |   20   10   0   0 |    5   5   0   0 |   * 384   *  * |  1  0  1
. o3o3x . x4/3*d   64 |   96  32 |   64    0  24   0 |   16   0   8   0 |   *   * 120  * |  0  1  1
. . o3x3o4x4/3*d   96 |  192  96 |   64   64  48  24 |    0  16   8   8 |   *   *   * 60 |  0  0  2
-----------------+-----+----------+-------------------+------------------+----------------+---------
o3o3o3x3o .        15 |   60   0 |   60   20   0   0 |   30  15   0   0 |   6   6   0  0 | 64  *  *
o3o3o3x . x4/3*d  160 |  320  80 |  320    0  80   0 |  160   0  40   0 |  32   0  10  0 |  * 12  *
. o3o3x3o4x4/3*d  320 |  960 320 |  640  320 240  80 |  160 160  80  40 |   0  32  10 10 |  *  * 12

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