Acronym ..., grico || gippic
Name (degenerate) grico atop gippic
Circumradius ∞   i.e. flat in euclidean space
Confer
general polytopal classes:
decomposition  

It either can be thought of as a degenerate 5D segmentotope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.


Incidence matrix according to Dynkin symbol

ox3xx4xx3xx&#x   → height = 0
(grico || gippic)

o.3o.4o.3o.    | 576    * |   2   1   1    2   0   0   0   0 |   1   2   2  1   1   2   2   2   0   0   0   0   0   0 |  1  1  2   1   1   1   2   2   2  0  0  0  0 | 1  1  1  1  2 0
.o3.o4.o3.o    |   * 1152 |   0   0   0    1   1   1   1   1 |   0   0   0  0   1   1   1   1   1   1   1   1   1   1 |  0  0  0   1   1   1   1   1   1  1  1  1  1 | 0  1  1  1  1 1
---------------+----------+----------------------------------+--------------------------------------------------------+----------------------------------------------+----------------
.. x. .. ..    |   2    0 | 576   *   *    *   *   *   *   * |   1   1   1  0   0   1   0   0   0   0   0   0   0   0 |  1  1  1   1   0   0   1   1   0  0  0  0  0 | 1  1  1  0  1 0
.. .. x. ..    |   2    0 |   * 288   *    *   *   *   *   * |   0   2   0  1   0   0   2   0   0   0   0   0   0   0 |  1  0  2   0   1   0   2   0   2  0  0  0  0 | 1  1  0  1  2 0
.. .. .. x.    |   2    0 |   *   * 288    *   *   *   *   * |   0   0   2  1   0   0   0   2   0   0   0   0   0   0 |  0  1  2   0   0   1   0   2   2  0  0  0  0 | 1  0  1  1  2 0
oo3oo4oo3oo&#x |   1    1 |   *   *   * 1152   *   *   *   * |   0   0   0  0   1   1   1   1   0   0   0   0   0   0 |  0  0  0   1   1   1   1   1   1  0  0  0  0 | 0  1  1  1  1 0
.x .. .. ..    |   0    2 |   *   *   *    * 576   *   *   * |   0   0   0  0   1   0   0   0   1   1   1   0   0   0 |  0  0  0   1   1   1   0   0   0  1  1  1  0 | 0  1  1  1  0 1
.. .x .. ..    |   0    2 |   *   *   *    *   * 576   *   * |   0   0   0  0   0   1   0   0   1   0   0   1   1   0 |  0  0  0   1   0   0   1   1   0  1  1  0  1 | 0  1  1  0  1 1
.. .. .x ..    |   0    2 |   *   *   *    *   *   * 576   * |   0   0   0  0   0   0   1   0   0   1   0   1   0   1 |  0  0  0   0   1   0   1   0   1  1  0  1  1 | 0  1  0  1  1 1
.. .. .. .x    |   0    2 |   *   *   *    *   *   *   * 576 |   0   0   0  0   0   0   0   1   0   0   1   0   1   1 |  0  0  0   0   0   1   0   1   1  0  1  1  1 | 0  0  1  1  1 1
---------------+----------+----------------------------------+--------------------------------------------------------+----------------------------------------------+----------------
o.3x. .. ..    |   3    0 |   3   0   0    0   0   0   0   0 | 192   *   *  *   *   *   *   *   *   *   *   *   *   * |  1  1  0   1   0   0   0   0   0  0  0  0  0 | 1  1  1  0  0 0
.. x.4x. ..    |   8    0 |   4   4   0    0   0   0   0   0 |   * 144   *  *   *   *   *   *   *   *   *   *   *   * |  1  0  1   0   0   0   1   0   0  0  0  0  0 | 1  1  0  0  1 0
.. x. .. x.    |   4    0 |   2   0   2    0   0   0   0   0 |   *   * 288  *   *   *   *   *   *   *   *   *   *   * |  0  1  1   0   0   0   0   1   0  0  0  0  0 | 1  0  1  0  1 0
.. .. x.3x.    |   6    0 |   0   3   3    0   0   0   0   0 |   *   *   * 96   *   *   *   *   *   *   *   *   *   * |  0  0  2   0   0   0   0   0   2  0  0  0  0 | 1  0  0  1  2 0
ox .. .. ..&#x |   1    2 |   0   0   0    2   1   0   0   0 |   *   *   *  * 576   *   *   *   *   *   *   *   *   * |  0  0  0   1   1   1   0   0   0  0  0  0  0 | 0  1  1  1  0 0
.. xx .. ..&#x |   2    2 |   1   0   0    2   0   1   0   0 |   *   *   *  *   * 576   *   *   *   *   *   *   *   * |  0  0  0   1   0   0   1   1   0  0  0  0  0 | 0  1  1  0  1 0
.. .. xx ..&#x |   2    2 |   0   1   0    2   0   0   1   0 |   *   *   *  *   *   * 576   *   *   *   *   *   *   * |  0  0  0   0   1   0   1   0   1  0  0  0  0 | 0  1  0  1  1 0
.. .. .. xx&#x |   2    2 |   0   0   1    2   0   0   0   1 |   *   *   *  *   *   *   * 576   *   *   *   *   *   * |  0  0  0   0   0   1   0   1   1  0  0  0  0 | 0  0  1  1  1 0
.x3.x .. ..    |   0    6 |   0   0   0    0   3   3   0   0 |   *   *   *  *   *   *   *   * 192   *   *   *   *   * |  0  0  0   1   0   0   0   0   0  1  1  0  0 | 0  1  1  0  0 1
.x .. .x ..    |   0    4 |   0   0   0    0   2   0   2   0 |   *   *   *  *   *   *   *   *   * 288   *   *   *   * |  0  0  0   0   1   0   0   0   0  1  0  1  0 | 0  1  0  1  0 1
.x .. .. .x    |   0    4 |   0   0   0    0   2   0   0   2 |   *   *   *  *   *   *   *   *   *   * 288   *   *   * |  0  0  0   0   0   1   0   0   0  0  1  1  0 | 0  0  1  1  0 1
.. .x4.x ..    |   0    8 |   0   0   0    0   0   4   4   0 |   *   *   *  *   *   *   *   *   *   *   * 144   *   * |  0  0  0   0   0   0   1   0   0  1  0  0  1 | 0  1  0  0  1 1
.. .x .. .x    |   0    4 |   0   0   0    0   0   2   0   2 |   *   *   *  *   *   *   *   *   *   *   *   * 288   * |  0  0  0   0   0   0   0   1   0  0  1  0  1 | 0  0  1  0  1 1
.. .. .x3.x    |   0    6 |   0   0   0    0   0   0   3   3 |   *   *   *  *   *   *   *   *   *   *   *   *   * 192 |  0  0  0   0   0   0   0   0   1  0  0  1  1 | 0  0  0  1  1 1
---------------+----------+----------------------------------+--------------------------------------------------------+----------------------------------------------+----------------
o.3x.4x. ..      24    0 |  24  12   0    0   0   0   0   0 |   8   6   0  0   0   0   0   0   0   0   0   0   0   0 | 24  *  *   *   *   *   *   *   *  *  *  *  * | 1  1  0  0  0 0
o.3x. .. x.       6    0 |   6   0   3    0   0   0   0   0 |   2   0   3  0   0   0   0   0   0   0   0   0   0   0 |  * 96  *   *   *   *   *   *   *  *  *  *  * | 1  0  1  0  0 0
.. x.4x.3x.      48    0 |  24  24  24    0   0   0   0   0 |   0   6  12  8   0   0   0   0   0   0   0   0   0   0 |  *  * 24   *   *   *   *   *   *  *  *  *  * | 1  0  0  0  1 0
ox3xx .. ..&#x    3    6 |   3   0   0    6   3   3   0   0 |   1   0   0  0   3   3   0   0   1   0   0   0   0   0 |  *  *  * 192   *   *   *   *   *  *  *  *  * | 0  1  1  0  0 0
ox .. xx ..&#x    2    4 |   0   1   0    4   2   0   2   0 |   0   0   0  0   2   0   2   0   0   1   0   0   0   0 |  *  *  *   * 288   *   *   *   *  *  *  *  * | 0  1  0  1  0 0
ox .. .. xx&#x    2    4 |   0   0   1    4   2   0   0   2 |   0   0   0  0   2   0   0   2   0   0   1   0   0   0 |  *  *  *   *   * 288   *   *   *  *  *  *  * | 0  0  1  1  0 0
.. xx4xx ..&#x    8    8 |   4   4   0    8   0   4   4   0 |   0   1   0  0   0   4   4   0   0   0   0   1   0   0 |  *  *  *   *   *   * 144   *   *  *  *  *  * | 0  1  0  0  1 0
.. xx .. xx&#x    4    4 |   2   0   2    4   0   2   0   2 |   0   0   1  0   0   2   0   2   0   0   0   0   1   0 |  *  *  *   *   *   *   * 288   *  *  *  *  * | 0  0  1  0  1 0
.. .. xx3xx&#x    6    6 |   0   3   3    6   0   0   3   3 |   0   0   0  1   0   0   3   3   0   0   0   0   0   1 |  *  *  *   *   *   *   *   * 192  *  *  *  * | 0  0  0  1  1 0
.x3.x4.x ..       0   48 |   0   0   0    0  24  24  24   0 |   0   0   0  0   0   0   0   0   8  12   0   6   0   0 |  *  *  *   *   *   *   *   *   * 24  *  *  * | 0  1  0  0  0 1
.x3.x .. .x       0   12 |   0   0   0    0   6   6   0   6 |   0   0   0  0   0   0   0   0   2   0   3   0   3   0 |  *  *  *   *   *   *   *   *   *  * 96  *  * | 0  0  1  0  0 1
.x .. .x3.x       0   12 |   0   0   0    0   6   0   6   6 |   0   0   0  0   0   0   0   0   0   3   3   0   0   2 |  *  *  *   *   *   *   *   *   *  *  * 96  * | 0  0  0  1  0 1
.. .x4.x3.x       0   48 |   0   0   0    0   0  24  24  24 |   0   0   0  0   0   0   0   0   0   0   0   6  12   8 |  *  *  *   *   *   *   *   *   *  *  *  * 24 | 0  0  0  0  1 1
---------------+----------+----------------------------------+--------------------------------------------------------+----------------------------------------------+----------------
o.3x.4x.3x.     576    0 | 576 288 288    0   0   0   0   0 | 192 144 288 96   0   0   0   0   0   0   0   0   0   0 | 24 96 24   0   0   0   0   0   0  0  0  0  0 | 1  *  *  *  * *
ox3xx4xx ..&#x   24   48 |  24  12   0   48  24  24  24   0 |   8   6   0  0  24  24  24   0   8  12   0   6   0   0 |  1  0  0   8  12   0   6   0   0  1  0  0  0 | * 24  *  *  * *
ox3xx .. xx&#x    6   12 |   6   0   3   12   6   6   0   6 |   2   0   3  0   6   6   0   6   2   0   3   0   3   0 |  0  1  0   2   0   3   0   3   0  0  1  0  0 | *  * 96  *  * *
ox .. xx3xx&#x    6   12 |   0   3   3   12   6   0   6   6 |   0   0   0  1   6   0   6   6   0   3   3   0   0   2 |  0  0  0   0   3   3   0   0   2  0  0  1  0 | *  *  * 96  * *
.. xx4xx3xx&#x   48   48 |  24  24  24   48   0  24  24  24 |   0   6  12  8   0  24  24  24   0   0   0   6  12   8 |  0  0  1   0   0   0   6  12   8  0  0  0  1 | *  *  *  * 24 *
.x3.x4.x3.x       0 1152 |   0   0   0    0 576 576 576 576 |   0   0   0  0   0   0   0   0 192 288 288 144 288 192 |  0  0  0   0   0   0   0   0   0 24 96 96 24 | *  *  *  *  * 1

© 2004-2019
top of page