Acronym pysnan
Name pyritosnub penteract,
edge-alternation of great cellated penteractitriacontiditeron
Circumradius ...
Confer
general polytopal classes:
isogonal  
External
links
polytopewiki

This isogonal polyteron is obtained by hemiation of gacnet. But because of lower degree of freedom the resulting edge sizes cannot be made all alike.


Incidence matrix according to Dynkin symbol

s3s3s3s4x

demi( . . . . . ) | 1920 |   1   1   1   1    2    2    2   1 |   1   1   1   1   1    3    3   2    3   2    3   2   2   2 |   1   1   1   1   1   1   1   1  1    4   3   3   3   3 |  1  1  1  1  1   4
------------------+------+------------------------------------+-------------------------------------------------------------+---------------------------------------------------------+-------------------
demi( . . . . x ) |    2 | 960   *   *   *    *    *    *   * |   0   0   0   1   1    0    0   2    0   1    0   2   1   1 |   0   0   1   0   1   0   1   1  1    0   3   2   2   2 |  0  1  1  1  1   3  x
      s 2 s . .   |    2 |   * 960   *   *    *    *    *   * |   0   0   0   0   1    2    0   0    2   0    0   0   0   0 |   1   0   0   1   0   0   0   0  0    2   2   0   2   0 |  1  1  0  1  0   2  q
      s 2 . s .   |    2 |   *   * 960   *    *    *    *   * |   0   0   0   0   0    0    2   0    2   2    0   0   0   0 |   0   1   0   1   1   0   0   0  0    2   0   2   2   0 |  1  0  1  1  0   2  q
      . s 2 s .   |    2 |   *   *   * 960    *    *    *   * |   0   0   0   0   0    0    2   0    0   0    2   0   2   0 |   0   1   0   0   0   1   0   1  0    2   0   2   0   2 |  1  0  1  0  1   2  q
sefa( s3s . . . ) |    2 |   *   *   *   * 1920    *    *   * |   1   0   0   0   0    1    1   1    0   0    0   0   0   0 |   1   1   1   0   0   0   0   0  0    1   1   1   0   0 |  1  1  1  0  0   1  h
sefa( . s3s . . ) |    2 |   *   *   *   *    * 1920    *   * |   0   1   0   0   0    1    0   0    0   0    1   1   0   0 |   1   0   0   0   0   1   1   0  0    1   1   0   0   1 |  1  1  0  0  1   1  h
sefa( . . s3s . ) |    2 |   *   *   *   *    *    * 1920   * |   0   0   1   0   0    0    0   0    1   0    1   0   0   1 |   0   0   0   1   0   1   0   0  1    1   0   0   1   1 |  1  0  0  1  1   1  h
sefa( . . . s4x ) |    2 |   *   *   *   *    *    *    * 960 |   0   0   0   1   0    0    0   0    0   1    0   0   1   1 |   0   0   0   0   1   0   0   1  1    0   0   1   1   1 |  0  0  1  1  1   1  w
------------------+------+------------------------------------+-------------------------------------------------------------+---------------------------------------------------------+-------------------
      s3s . . .   |    3 |   0   0   0   0    3    0    0   0 | 640   *   *   *   *    *    *   *    *   *    *   *   *   * |   1   1   1   0   0   0   0   0  0    0   0   0   0   0 |  1  1  1  0  0   0  h3o
      . s3s . .   |    3 |   0   0   0   0    0    3    0   0 |   * 640   *   *   *    *    *   *    *   *    *   *   *   * |   1   0   0   0   0   1   1   0  0    0   0   0   0   0 |  1  1  0  0  1   0  h3o
      . . s3s .   |    3 |   0   0   0   0    0    0    3   0 |   *   * 640   *   *    *    *   *    *   *    *   *   *   * |   0   0   0   1   0   1   0   0  1    0   0   0   0   0 |  1  0  0  1  1   0  h3o
      . . . s4x   |    4 |   2   0   0   0    0    0    0   2 |   *   *   * 480   *    *    *   *    *   *    *   *   *   * |   0   0   0   0   1   0   0   1  1    0   0   0   0   0 |  0  0  1  1  1   0  x2w
      s 2 s . x   |    4 |   2   2   0   0    0    0    0   0 |   *   *   *   * 480    *    *   *    *   *    *   *   *   * |   0   0   0   0   0   0   0   0  0    0   2   0   2   0 |  0  1  0  1  0   2  x2q
sefa( s3s3s . . ) |    3 |   0   1   0   0    1    1    0   0 |   *   *   *   *   * 1920    *   *    *   *    *   *   *   * |   1   0   0   0   0   0   0   0  0    1   1   0   0   0 |  1  1  0  0  0   1  oq&#h
sefa( s3s 2 s . ) |    3 |   0   0   1   1    1    0    0   0 |   *   *   *   *   *    * 1920   *    *   *    *   *   *   * |   0   1   0   0   0   0   0   0  0    1   0   1   0   0 |  1  0  1  0  0   1  oh&q
sefa( s3s . . x ) |    4 |   2   0   0   0    2    0    0   0 |   *   *   *   *   *    *    * 960    *   *    *   *   *   * |   0   0   1   0   0   0   0   0  0    0   1   1   0   0 |  0  1  1  0  0   1  x2h
sefa( s 2 s3s . ) |    3 |   0   1   1   0    0    0    1   0 |   *   *   *   *   *    *    *   * 1920   *    *   *   *   * |   0   0   0   1   0   0   0   0  0    1   0   0   1   0 |  1  0  0  1  0   1  oh&#q
sefa( s 2 . s4x ) |    4 |   1   0   2   0    0    0    0   1 |   *   *   *   *   *    *    *   *    * 960    *   *   *   * |   0   0   0   0   1   0   0   0  0    0   0   1   1   0 |  0  0  1  1  0   1  xw&#q
sefa( . s3s3s . ) |    3 |   0   0   0   1    0    1    1   0 |   *   *   *   *   *    *    *   *    *   * 1920   *   *   * |   0   0   0   0   0   1   0   0  0    1   0   0   0   1 |  1  0  0  0  1   1  oq&#h
sefa( . s3s 2 x ) |    4 |   2   0   0   0    0    2    0   0 |   *   *   *   *   *    *    *   *    *   *    * 960   *   * |   0   0   0   0   0   0   1   0  0    0   1   0   0   1 |  0  1  0  0  1   1  x2h
sefa( . s 2 s4x ) |    4 |   1   0   0   2    0    0    0   1 |   *   *   *   *   *    *    *   *    *   *    *   * 960   * |   0   0   0   0   0   0   0   1  0    0   0   1   0   1 |  0  0  1  0  1   1  xw&#q
sefa( . . s3s4x ) |    4 |   1   0   0   0    0    0    2   1 |   *   *   *   *   *    *    *   *    *   *    *   *   * 960 |   0   0   0   0   0   0   0   0  1    0   0   0   1   1 |  0  0  0  1  1   1  xw&#h
------------------+------+------------------------------------+-------------------------------------------------------------+---------------------------------------------------------+-------------------
      s3s3s . .   |   12 |   0   6   0   0   12   12    0   0 |   4   4   0   0   0   12    0   0    0   0    0   0   0   0 | 160   *   *   *   *   *   *   *  *    *   *   *   *   * |  1  1  0  0  0   0  snit
      s3s 2 s .   |    6 |   0   0   3   3    6    0    0   0 |   2   0   0   0   0    0    6   0    0   0    0   0   0   0 |   * 320   *   *   *   *   *   *  *    *   *   *   *   * |  1  0  1  0  0   0  trap
      s3s . . x   |    6 |   3   0   0   0    6    0    0   0 |   2   0   0   0   0    0    0   3    0   0    0   0   0   0 |   *   * 320   *   *   *   *   *  *    *   *   *   *   * |  0  1  1  0  0   0  shallow trip
      s 2 s3s .   |    6 |   0   3   3   0    0    0    6   0 |   0   0   2   0   0    0    0   0    6   0    0   0   0   0 |   *   *   * 320   *   *   *   *  *    *   *   *   *   * |  1  0  0  1  0   0  triangular antiprism
      s 2 . s4x   |    8 |   4   0   4   0    0    0    0   4 |   0   0   0   2   0    0    0   0    0   4    0   0   0   0 |   *   *   *   * 240   *   *   *  *    *   *   *   *   * |  0  0  1  1  0   0  recta
      . s3s3s .   |   12 |   0   0   0   6    0   12   12   0 |   0   4   4   0   0    0    0   0    0   0   12   0   0   0 |   *   *   *   *   * 160   *   *  *    *   *   *   *   * |  1  0  0  0  1   0  snit
      . s3s . x   |    6 |   3   0   0   0    0    6    0   0 |   0   2   0   0   0    0    0   0    0   0    0   3   0   0 |   *   *   *   *   *   * 320   *  *    *   *   *   *   * |  0  1  0  0  1   0  shallow trip
      . s 2 s4x   |    8 |   4   0   0   4    0    0    0   4 |   0   0   0   2   0    0    0   0    0   0    0   0   4   0 |   *   *   *   *   *   *   * 240  *    *   *   *   *   * |  0  0  1  0  1   0  recta
      . . s3s4x   |   24 |  12   0   0   0    0    0   24  12 |   0   0   8   6   0    0    0   0    0   0    0   0   0  12 |   *   *   *   *   *   *   *   * 80    *   *   *   *   * |  0  0  0  1  1   0  pysnic
sefa( s3s3s3s . ) |    4 |   0   1   1   1    1    1    1   0 |   0   0   0   0   0    1    1   0    1   0    1   0   0   0 |   *   *   *   *   *   *   *   *  * 1920   *   *   *   * |  1  0  0  0  0   1  chiral digonal antifrustrum (disphenoid)
sefa( s3s3s . x ) |    6 |   3   2   0   0    2    2    0   0 |   0   0   0   0   1    2    0   1    0   0    0   1   0   0 |   *   *   *   *   *   *   *   *  *    * 960   *   *   * |  0  1  0  0  0   1  isot prism oq2xx&#h
sefa( s3s 2 s4x ) |    6 |   2   0   2   2    2    0    0   1 |   0   0   0   0   0    0    2   1    0   1    0   0   1   0 |   *   *   *   *   *   *   *   *  *    *   * 960   *   * |  0  0  1  0  0   1  straight q-laced w-wedge atop x2h
sefa( s 2 s3s4x ) |    6 |   2   2   2   0    0    0    2   1 |   0   0   0   0   1    0    0   0    2   1    0   0   0   1 |   *   *   *   *   *   *   *   *  *    *   *   * 960   * |  0  0  0  1  0   1  slanted w-wedge atop x2q
sefa( . s3s3s4x ) |    6 |   2   0   0   2    0    2    2   1 |   0   0   0   0   0    0    0   0    0   0    2   1   1   1 |   *   *   *   *   *   *   *   *  *    *   *   *   * 960 |  0  0  0  0  1   1  straight h-laced w-wedge atop xw&#q
------------------+------+------------------------------------+-------------------------------------------------------------+---------------------------------------------------------+-------------------
      s3s3s3s .   |   60 |   0  30  30  30   60   60   60   0 |  20  20  20   0   0   60   60   0   60   0   60   0   0   0 |   5  10   0  10   0   5   0   0  0   60   0   0   0   0 | 32  *  *  *  *   *  snip
      s3s3s . x   |   24 |  12  12   0   0   24   24    0   0 |   8   8   0   0   6   24    0  12    0   0    0  12   0   0 |   2   0   4   0   0   0   4   0  0    0  12   0   0   0 |  * 80  *  *  *   *  snittap
      s3s 2 s4x   |   24 |  12   0  12  12   24    0    0  12 |   8   0   0   6   0    0   24  12    0  12    0   0  12   0 |   0   4   4   0   3   0   0   3  0    0   0  12   0   0 |  *  * 80  *  *   *  3-4-prismantiprismoid
      s 2 s3s4x   |   48 |  24  24  24   0    0    0   48  24 |   0   0  16  12  12    0    0   0   48  24    0   0   0  24 |   0   0   0   8   6   0   0   0  2    0   0   0  24   0 |  *  *  * 40  *   *  pysna
      . s3s3s4x   |  192 |  96   0   0  96    0  192  192  96 |   0  64  64  48   0    0    0   0    0   0  192  96  96  96 |   0   0   0   0   0  16  32  24  8    0   0   0   0  96 |  *  *  *  * 10   *  pysnet
sefa( s3s3s3s4x ) |    8 |   3   2   2   2    2    2    2   1 |   0   0   0   0   1    2    2   1    2   1    2   1   1   1 |   0   0   0   0   0   0   0   0  0    2   1   1   1   1 |  *  *  *  *  * 960  slanted w-wedge atop isot prism (tepe variant)

starting figure: x3x3x3x4x

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