Acronym nurrant
Name penteractirhombated penteractitriacontaditeron
Field of sections
 ©
Circumradius sqrt[25+8 sqrt(2)]/2 = 3.013043
Vertex figure
 ©
Colonel of regiment (is itself locally convex – no other uniform polyteral members)
External
links
hedrondude  

As abstract polytope nurrant is isomorphic to noqrant, thereby interchanging the roles of octagrams and octagons, resp. replacing girco by quitco and stop by op, resp. grit by gaqrit, tistodip by todipand thatpath by thaquitpath.


Incidence matrix according to Dynkin symbol

o3x3x3x4/3x4*c

. . . .   .    | 1920 |    2   1   1   1 |   1   2   2   2   1   1   1 |   1   1   1   2  2   2  1 |  1  1  1  2
---------------+------+------------------+-----------------------------+---------------------------+------------
. x . .   .    |    2 | 1920   *   *   * |   1   1   1   1   0   0   0 |   1   1   1   1  1   1  0 |  1  1  1  1
. . x .   .    |    2 |    * 960   *   * |   0   2   0   0   1   1   0 |   1   0   0   2  2   0  1 |  1  1  0  2
. . . x   .    |    2 |    *   * 960   * |   0   0   2   0   1   0   1 |   0   1   0   2  0   2  1 |  1  0  1  2
. . . .   x    |    2 |    *   *   * 960 |   0   0   0   2   0   1   1 |   0   0   1   0  2   2  1 |  0  1  1  2
---------------+------+------------------+-----------------------------+---------------------------+------------
o3x . .   .    |    3 |    3   0   0   0 | 640   *   *   *   *   *   * |   1   1   1   0  0   0  0 |  1  1  1  0
. x3x .   .    |    6 |    3   3   0   0 |   * 640   *   *   *   *   * |   1   0   0   1  1   0  0 |  1  1  0  1
. x . x   .    |    4 |    2   0   2   0 |   *   * 960   *   *   *   * |   0   1   0   1  0   1  0 |  1  0  1  1
. x . .   x    |    4 |    2   0   0   2 |   *   *   * 960   *   *   * |   0   0   1   0  1   1  0 |  0  1  1  1
. . x3x   .    |    6 |    0   3   3   0 |   *   *   *   * 320   *   * |   0   0   0   2  0   0  1 |  1  0  0  2
. . x .   x4*c |    8 |    0   4   0   4 |   *   *   *   *   * 240   * |   0   0   0   0  2   0  1 |  0  1  0  2
. . . x4/3x    |    8 |    0   0   4   4 |   *   *   *   *   *   * 240 |   0   0   0   0  0   2  1 |  0  0  1  2
---------------+------+------------------+-----------------------------+---------------------------+------------
o3x3x .   .       12 |   12   6   0   0 |   4   4   0   0   0   0   0 | 160   *   *   *  *   *  * |  1  1  0  0
o3x . x   .        6 |    6   0   3   0 |   2   0   3   0   0   0   0 |   * 320   *   *  *   *  * |  1  0  1  0
o3x . .   x        6 |    6   0   0   3 |   2   0   0   3   0   0   0 |   *   * 320   *  *   *  * |  0  1  1  0
. x3x3x   .       24 |   12  12  12   0 |   0   4   6   0   4   0   0 |   *   *   * 160  *   *  * |  1  0  0  1
. x3x .   x4*c    48 |   24  24   0  24 |   0   8   0  12   0   6   0 |   *   *   *   * 80   *  * |  0  1  0  1
. x . x4/3x       16 |    8   0   8   8 |   0   0   4   4   0   0   2 |   *   *   *   *  * 240  * |  0  0  1  1
. . x3x4/3x4*c    48 |    0  24  24  24 |   0   0   0   0   8   6   6 |   *   *   *   *  *   * 40 |  0  0  0  2
---------------+------+------------------+-----------------------------+---------------------------+------------
o3x3x3x   .       60 |   60  30  30   0 |  20  20  30   0  10   0   0 |   5  10   0   5  0   0  0 | 32  *  *  *
o3x3x .   x4*c   192 |  192  96   0  96 |  64  64   0  96   0  24   0 |  16   0  32   0  8   0  0 |  * 10  *  *
o3x . x4/3x       24 |   24   0  12  12 |   8   0  12  12   0   0   3 |   0   4   4   0  0   3  0 |  *  * 80  *
. x3x3x4/3x4*c   384 |  192 192 192 192 |   0  64  96  96  64  48  48 |   0   0   0  16  8  24  8 |  *  *  * 10

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