Acronym pexnit
Name partially expanded penteractitriacontiditeron
Circumradius ...
Lace city
in approx. ASCII-art
x3o4o  o3x4o  x3o4o		-- o3x3o4o (ico)
                   
                   
                   
o3x4o  o3o4q  o3x4o		-- o3o3x4o (rit)
                   
                   
                   
                   
                   
o3x4o  o3o4q  o3x4o		-- o3o3x4o (rit)
                   
                   
                   
x3o4o  o3x4o  x3o4o		-- o3x3o4o (ico)

  |      |      +-- pexic
  |      +--------- pexrit
  +---------------- pexic
Coordinates
  • (1/sqrt(2), 1/sqrt(2), 0, 0; (1+sqrt(2))/2)   & all permutations within the first 4 coords, all changes of sign
  • (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0; 1/2)       & all permutations within the first 4 coords all changes of sign
Face vector 112, 608, 800, 360, 58
Confer
uniform relative:
nit   sirn   rittip  
general polytopal classes:
partial Stott expansions  

This CRF polyteron can be obtained from nit by partial Stott expansion only within axial direction. This just results in the insertion of a medial segment, the rittip.


Incidence matrix according to Dynkin symbol

wx oo3xo3ox4oo&#zx

o. o.3o.3o.4o.     | 48  * |   8   4  0   0 |  4   8   8   4  0   0 |  4  2  1  4   8  0  0 | 1  4 2  0
.o .o3.o3.o4.o     |  * 64 |   0   3  1   6 |  0   0   3   6  6   6 |  0  0  3  1   6  6  2 | 0  2 3  2
-------------------+-------+----------------+-----------------------+-----------------------+----------
.. .. x. .. ..     |  2  0 | 192   *  *   * |  1   2   1   0  0   0 |  2  1  0  1   2  0  0 | 1  2 1  0
oo oo3oo3oo4oo&#x  |  1  1 |   * 192  *   * |  0   0   2   2  0   0 |  0  0  1  1   4  0  0 | 0  2 2  0
.x .. .. .. ..     |  0  2 |   *   * 32   * |  0   0   0   0  6   0 |  0  0  3  0   0  6  0 | 0  0 3  2
.. .. .. .x ..     |  0  2 |   *   *  * 192 |  0   0   0   1  1   2 |  0  0  1  0   2  2  1 | 0  1 2  1
-------------------+-------+----------------+-----------------------+-----------------------+----------
.. o.3x. .. ..     |  3  0 |   3   0  0   0 | 64   *   *   *  *   * |  2  0  0  1   0  0  0 | 1  2 0  0
.. .. x.3o. ..     |  3  0 |   3   0  0   0 |  * 128   *   *  *   * |  1  1  0  0   1  0  0 | 1  1 1  0
.. .. xo .. ..&#x  |  2  1 |   1   2  0   0 |  *   * 192   *  *   * |  0  0  0  1   2  0  0 | 0  2 1  0
.. .. .. ox ..&#x  |  1  2 |   0   2  0   1 |  *   *   * 192  *   * |  0  0  1  0   2  0  0 | 0  1 2  0
.x .. .. .x ..     |  0  4 |   0   0  2   2 |  *   *   *   * 96   * |  0  0  1  0   0  2  0 | 0  0 2  1
.. .. .o3.x ..     |  0  3 |   0   0  0   3 |  *   *   *   *  * 128 |  0  0  0  0   1  1  1 | 0  1 1  1
-------------------+-------+----------------+-----------------------+-----------------------+----------
.. o.3x.3o. ..       6  0 |  12   0  0   0 |  4   4   0   0  0   0 | 32  *  *  *   *  *  * | 1  1 0  0
.. .. x.3o.4o.       6  0 |  12   0  0   0 |  0   8   0   0  0   0 |  * 16  *  *   *  *  * | 1  0 1  0
wx .. .. ox4oo&#zx   2  8 |   0   8  4   8 |  0   0   0   8  4   0 |  *  * 24  *   *  *  * | 0  0 2  0
.. oo3xo .. ..&#x    3  1 |   3   3  0   0 |  1   0   3   0  0   0 |  *  *  * 64   *  *  * | 0  2 0  0
.. .. xo3ox ..&#x    3  3 |   3   6  0   3 |  0   1   3   3  0   1 |  *  *  *  * 128  *  * | 0  1 1  0
.x .. .o3.x ..       0  6 |   0   0  3   6 |  0   0   0   0  3   2 |  *  *  *  *   * 64  * | 0  0 1  1
.. .o3.o3.x ..       0  4 |   0   0  0   6 |  0   0   0   0  0   4 |  *  *  *  *   *  * 32 | 0  1 0  1
-------------------+-------+----------------+-----------------------+-----------------------+----------
.. o.3x.3o.4o.      24  0 |  96   0  0   0 | 32  64   0   0  0   0 | 16  8  0  0   0  0  0 | 2  * *  *
.. oo3xo3ox ..&#x    6  4 |  12  12  0   6 |  4   4  12   6  0   4 |  1  0  0  4   4  0  1 | * 32 *  *
wx .. xo3ox4oo&#x   12 24 |  24  48 12  48 |  0  16  24  48 24  16 |  0  2  6  0  16  8  0 | *  * 8  *
.x .o3.o3.x ..       0  8 |   0   0  4  12 |  0   0   0   0  6   8 |  0  0  0  0   0  4  2 | *  * * 16

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