Acronym wavinant
Name sphenoverted penteractipenteractitriacontaditeron
Field of sections
 ©
Circumradius sqrt[11-6 sqrt(2)]/2 = 0.792893
Vertex figure
 ©
Coordinates ((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 cells: quithip quitit rap tepe tistodip wavitoth
gafwan 4010080800
wavinant 010320010
  & others)

As abstract polytope wavinant is isomorphic to rawn, thereby replacing octagrams by octagons, resp. quith by tic and gocco by socco, resp. quitit by tat and wavitoth by rawvatoth.


Incidence matrix according to Dynkin symbol

o3o3x3o4x4/3*c

. . . . .      | 320 |   6   2 |   6   3   6  1 |   2   3  6  3 |  1  2  3
---------------+-----+---------+----------------+---------------+---------
. . x . .      |   2 | 960   * |   2   1   1  0 |   1   2  2  1 |  1  1  2
. . . . x      |   2 |   * 320 |   0   0   3  1 |   0   0  3  3 |  0  1  3
---------------+-----+---------+----------------+---------------+---------
. o3x . .      |   3 |   3   0 | 640   *   *  * |   1   1  1  0 |  1  1  1
. . x3o .      |   3 |   3   0 |   * 320   *  * |   0   2  0  1 |  1  0  2
. . x . x4/3*c |   8 |   4   4 |   *   * 240  * |   0   0  2  1 |  0  1  2
. . . o4x      |   4 |   0   4 |   *   *   * 80 |   0   0  0  3 |  0  0  3
---------------+-----+---------+----------------+---------------+---------
o3o3x . .         4 |   6   0 |   4   0   0  0 | 160   *  *  * |  1  1  0
. o3x3o .         6 |  12   0 |   4   4   0  0 |   * 160  *  * |  1  0  1
. o3x . x4/3*c   24 |  24  12 |   8   0   6  0 |   *   * 80  * |  0  1  1
. . x3o4x4/3*c   24 |  24  24 |   0   8   6  6 |   *   *  * 40 |  0  0  2
---------------+-----+---------+----------------+---------------+---------
o3o3x3o .        10 |  30   0 |  20  10   0  0 |   5   5  0  0 | 32  *  *
o3o3x . x4/3*c   64 |  96  32 |  64   0  24  0 |  16   0  8  0 |  * 10  *
. o3x3o4x4/3*c   96 | 192  96 |  64  64  48 24 |   0  16  8  8 |  *  * 10

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