Acronym nippant
Name penteractiprismated penteractitriacontaditeron
Field of sections
 ©
Circumradius sqrt[35+10 sqrt(2)]/2 = 3.505073
Vertex figure
 ©
Coordinates ((1+3 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment (is itself locally convex – no other uniform polyteral members)
Face vector 3840, 9600, 7680, 2160, 172
Confer
general polytopal classes:
Wythoffian polytera  
External
links
hedrondude   polytopewiki  

As abstract polytope nippant is isomorphic to noquapant, thereby interchanging the roles of octagons and octagrams, resp. those of op and stop, replacing girco by quitco, resp. gidpith by gaquidpoth, histodip by hodip, and thatpath by thaquitpath.


Incidence matrix according to Dynkin symbol

x3x3x3x4/3x4*c

. . . .   .    | 3840 |    1    1    1    1    1 |   1   1   1   1   1   1   1   1   1   1 |   1   1   1   1   1   1   1  1   1  1 |  1  1  1  1  1
---------------+------+--------------------------+-----------------------------------------+---------------------------------------+---------------
x . . .   .    |    2 | 1920    *    *    *    * |   1   1   1   1   0   0   0   0   0   0 |   1   1   1   1   1   1   0  0   0  0 |  1  1  1  1  0
. x . .   .    |    2 |    * 1920    *    *    * |   1   0   0   0   1   1   1   0   0   0 |   1   1   1   0   0   0   1  1   1  0 |  1  1  1  0  1
. . x .   .    |    2 |    *    * 1920    *    * |   0   1   0   0   1   0   0   1   1   0 |   1   0   0   1   1   0   1  1   0  1 |  1  1  0  1  1
. . . x   .    |    2 |    *    *    * 1920    * |   0   0   1   0   0   1   0   1   0   1 |   0   1   0   1   0   1   1  0   1  1 |  1  0  1  1  1
. . . .   x    |    2 |    *    *    *    * 1920 |   0   0   0   1   0   0   1   0   1   1 |   0   0   1   0   1   1   0  1   1  1 |  0  1  1  1  1
---------------+------+--------------------------+-----------------------------------------+---------------------------------------+---------------
x3x . .   .    |    6 |    3    3    0    0    0 | 640   *   *   *   *   *   *   *   *   * |   1   1   1   0   0   0   0  0   0  0 |  1  1  1  0  0
x . x .   .    |    4 |    2    0    2    0    0 |   * 960   *   *   *   *   *   *   *   * |   1   0   0   1   1   0   0  0   0  0 |  1  1  0  1  0
x . . x   .    |    4 |    2    0    0    2    0 |   *   * 960   *   *   *   *   *   *   * |   0   1   0   1   0   1   0  0   0  0 |  1  0  1  1  0
x . . .   x    |    4 |    2    0    0    0    2 |   *   *   * 960   *   *   *   *   *   * |   0   0   1   0   1   1   0  0   0  0 |  0  1  1  1  0
. x3x .   .    |    6 |    0    3    3    0    0 |   *   *   *   * 640   *   *   *   *   * |   1   0   0   0   0   0   1  1   0  0 |  1  1  0  0  1
. x . x   .    |    4 |    0    2    0    2    0 |   *   *   *   *   * 960   *   *   *   * |   0   1   0   0   0   0   1  0   1  0 |  1  0  1  0  1
. x . .   x    |    4 |    0    2    0    0    2 |   *   *   *   *   *   * 960   *   *   * |   0   0   1   0   0   0   0  1   1  0 |  0  1  1  0  1
. . x3x   .    |    6 |    0    0    3    3    0 |   *   *   *   *   *   *   * 640   *   * |   0   0   0   1   0   0   1  0   0  1 |  1  0  0  1  1
. . x .   x4*c |    8 |    0    0    4    0    4 |   *   *   *   *   *   *   *   * 480   * |   0   0   0   0   1   0   0  1   0  1 |  0  1  0  1  1
. . . x4/3x    |    8 |    0    0    0    4    4 |   *   *   *   *   *   *   *   *   * 480 |   0   0   0   0   0   1   0  0   1  1 |  0  0  1  1  1
---------------+------+--------------------------+-----------------------------------------+---------------------------------------+---------------
x3x3x .   .       24 |   12   12   12    0    0 |   4   6   0   0   4   0   0   0   0   0 | 160   *   *   *   *   *   *  *   *  * |  1  1  0  0  0
x3x . x   .       12 |    6    6    0    6    0 |   2   0   3   0   0   3   0   0   0   0 |   * 320   *   *   *   *   *  *   *  * |  1  0  1  0  0
x3x . .   x       12 |    6    6    0    0    6 |   2   0   0   3   0   0   3   0   0   0 |   *   * 320   *   *   *   *  *   *  * |  0  1  1  0  0
x . x3x   .       12 |    6    0    6    6    0 |   0   3   3   0   0   0   0   2   0   0 |   *   *   * 320   *   *   *  *   *  * |  1  0  0  1  0
x . x .   x4*c    16 |    8    0    8    0    8 |   0   4   0   4   0   0   0   0   2   0 |   *   *   *   * 240   *   *  *   *  * |  0  1  0  1  0
x . . x4/3x       16 |    8    0    0    8    8 |   0   0   4   4   0   0   0   0   0   2 |   *   *   *   *   * 240   *  *   *  * |  0  0  1  1  0
. x3x3x   .       24 |    0   12   12   12    0 |   0   0   0   0   4   6   0   4   0   0 |   *   *   *   *   *   * 160  *   *  * |  1  0  0  0  1
. x3x .   x4*c    48 |    0   24   24    0   24 |   0   0   0   0   8   0  12   0   6   0 |   *   *   *   *   *   *   * 80   *  * |  0  1  0  0  1
. x . x4/3x       16 |    0    8    0    8    8 |   0   0   0   0   0   4   4   0   0   2 |   *   *   *   *   *   *   *  * 240  * |  0  0  1  0  1
. . x3x4/3x4*c    48 |    0    0   24   24   24 |   0   0   0   0   0   0   0   8   6   6 |   *   *   *   *   *   *   *  *   * 80 |  0  0  0  1  1
---------------+------+--------------------------+-----------------------------------------+---------------------------------------+---------------
x3x3x3x   .      120 |   60   60   60   60    0 |  20  30  30   0  20  30   0  20   0   0 |   5  10   0  10   0   0   5  0   0  0 | 32  *  *  *  *
x3x3x .   x4*c   384 |  192  192  192    0  192 |  64  96   0  96  64   0  96   0  48   0 |  16   0  32   0  24   0   0  8   0  0 |  * 10  *  *  *
x3x . x4/3x       48 |   24   24    0   24   24 |   8   0  12  12   0  12  12   0   0   6 |   0   4   4   0   0   3   0  0   3  0 |  *  * 80  *  *
x . x3x4/3x4*c    96 |   48    0   48   48   48 |   0  24  24  24   0   0   0  16  12  12 |   0   0   0   8   6   6   0  0   0  2 |  *  *  * 40  *
. x3x3x4/3x4*c   384 |    0  192  192  192  192 |   0   0   0   0  64  96  96  64  48  48 |   0   0   0   0   0   0  16  8  24  8 |  *  *  *  * 10

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