Acronym ..., grix || prix
Name (degenerate) grix atop prix
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

xx3xo3xx5ox&#x   → height = 0
(grix || prix)

o.3o.3o.5o.    | 7200    * |    1    1    2     2    0    0    0 |    1    2    2    1    2    2    2    1    0    0    0    0    0 |   2   1   1    2    2    1    2    1    1   0    0   0   0 | 1   2    1   1   1 0
.o3.o3.o5.o    |    * 7200 |    0    0    0     2    2    2    1 |    0    0    0    0    2    1    2    2    1    2    2    1    2 |   0   0   0    1    2    2    1    1    2   1    1   2   1 | 0   1    1   2   1 1
---------------+-----------+-------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x. .. .. ..    |    2    0 | 3600    *    *     *    *    *    * |    1    2    0    0    2    0    0    0    0    0    0    0    0 |   2   1   0    2    2    1    0    0    0   0    0   0   0 | 1   2    1   1   0 0
.. x. .. ..    |    2    0 |    * 3600    *     *    *    *    * |    1    0    2    0    0    2    0    0    0    0    0    0    0 |   2   0   1    2    0    0    2    1    0   0    0   0   0 | 1   2    1   0   1 0
.. .. x. ..    |    2    0 |    *    * 7200     *    *    *    * |    0    1    1    1    0    0    1    0    0    0    0    0    0 |   1   1   1    0    1    0    1    0    1   0    0   0   0 | 1   1    0   1   1 0
oo3oo3oo5oo&#x |    1    1 |    *    *    * 14400    *    *    * |    0    0    0    0    1    1    1    1    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 |    *    *    *     * 7200    *    * |    0    0    0    0    1    0    0    0    1    1    1    0    0 |   0   0   0    1    1    1    0    0    0   1    1   1   0 | 0   1    1   1   0 1
.. .. .x ..    |    0    2 |    *    *    *     *    * 7200    * |    0    0    0    0    0    0    1    0    0    1    0    1    1 |   0   0   0    0    1    0    1    0    1   1    0   1   1 | 0   1    0   1   1 1
.. .. .. .x    |    0    2 |    *    *    *     *    *    * 3600 |    0    0    0    0    0    0    0    2    0    0    2    0    2 |   0   0   0    0    0    2    0    1    2   0    1   2   1 | 0   0    1   2   1 1
---------------+-----------+-------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3x. .. ..    |    6    0 |    3    3    0     0    0    0    0 | 1200    *    *    *    *    *    *    *    *    *    *    *    * |   2   0   0    2    0    0    0    0    0   0    0   0   0 | 1   2    1   0   0 0
x. .. x. ..    |    4    0 |    2    0    2     0    0    0    0 |    * 3600    *    *    *    *    *    *    *    *    *    *    * |   1   1   0    0    1    0    0    0    0   0    0   0   0 | 1   1    0   1   0 0
.. x.3x. ..    |    6    0 |    0    3    3     0    0    0    0 |    *    * 2400    *    *    *    *    *    *    *    *    *    * |   1   0   1    0    0    0    1    0    0   0    0   0   0 | 1   1    0   0   1 0
.. .. x.5o.    |    5    0 |    0    0    5     0    0    0    0 |    *    *    * 1440    *    *    *    *    *    *    *    *    * |   0   1   1    0    0    0    0    0    1   0    0   0   0 | 1   0    0   1   1 0
xx .. .. ..&#x |    2    2 |    1    0    0     2    1    0    0 |    *    *    *    * 7200    *    *    *    *    *    *    *    * |   0   0   0    1    1    1    0    0    0   0    0   0   0 | 0   1    1   1   0 0
.. xo .. ..&#x |    2    1 |    0    1    0     2    0    0    0 |    *    *    *    *    * 7200    *    *    *    *    *    *    * |   0   0   0    1    0    0    1    1    0   0    0   0   0 | 0   1    1   0   1 0
.. .. xx ..&#x |    2    2 |    0    0    1     2    0    1    0 |    *    *    *    *    *    * 7200    *    *    *    *    *    * |   0   0   0    0    1    0    1    0    1   0    0   0   0 | 0   1    0   1   1 0
.. .. .. ox&#x |    1    2 |    0    0    0     2    0    0    1 |    *    *    *    *    *    *    * 7200    *    *    *    *    * |   0   0   0    0    0    1    0    1    1   0    0   0   0 | 0   0    1   1   1 0
.x3.o .. ..    |    0    3 |    0    0    0     0    3    0    0 |    *    *    *    *    *    *    *    * 2400    *    *    *    * |   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    2    0 |    *    *    *    *    *    *    *    *    * 3600    *    *    * |   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    2 |    *    *    *    *    *    *    *    *    *    * 3600    *    * |   0   0   0    0    0    1    0    0    0   0    1   1   0 | 0   0    1   1   0 1
.. .o3.x ..    |    0    3 |    0    0    0     0    0    3    0 |    *    *    *    *    *    *    *    *    *    *    * 2400    * |   0   0   0    0    0    0    1    0    0   1    0   0   1 | 0   1    0   0   1 1
.. .. .x5.x    |    0   10 |    0    0    0     0    0    5    5 |    *    *    *    *    *    *    *    *    *    *    *    * 1440 |   0   0   0    0    0    0    0    0    1   0    0   1   1 | 0   0    0   1   1 1
---------------+-----------+-------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3x.3x. ..       24    0 |   12   12   12     0    0    0    0 |    4    6    4    0    0    0    0    0    0    0    0    0    0 | 600   *   *    *    *    *    *    *    *   *    *   *   * | 1   1    0   0   0 0
x. .. x.5o.       10    0 |    5    0   10     0    0    0    0 |    0    5    0    2    0    0    0    0    0    0    0    0    0 |   * 720   *    *    *    *    *    *    *   *    *   *   * | 1   0    0   1   0 0
.. x.3x.5o.       60    0 |    0   30   60     0    0    0    0 |    0    0   20   12    0    0    0    0    0    0    0    0    0 |   *   * 120    *    *    *    *    *    *   *    *   *   * | 1   0    0   0   1 0
xx3xo .. ..&#x     6    3 |    3    3    0     6    3    0    0 |    1    0    0    0    3    3    0    0    1    0    0    0    0 |   *   *   * 2400    *    *    *    *    *   *    *   *   * | 0   1    1   0   0 0
xx .. xx ..&#x     4    4 |    2    0    2     4    2    2    0 |    0    1    0    0    2    0    2    0    0    1    0    0    0 |   *   *   *    * 3600    *    *    *    *   *    *   *   * | 0   1    0   1   0 0
xx .. .. ox&#x     2    4 |    1    0    0     4    2    0    2 |    0    0    0    0    2    0    0    2    0    0    1    0    0 |   *   *   *    *    * 3600    *    *    *   *    *   *   * | 0   0    1   1   0 0
.. xo3xx ..&#x     6    3 |    0    3    3     6    0    3    0 |    0    0    1    0    0    3    3    0    0    0    0    1    0 |   *   *   *    *    *    * 2400    *    *   *    *   *   * | 0   1    0   0   1 0
.. xo .. ox&#x     2    2 |    0    1    0     4    0    0    1 |    0    0    0    0    0    2    0    2    0    0    0    0    0 |   *   *   *    *    *    *    * 3600    *   *    *   *   * | 0   0    1   0   1 0
.. .. xx5ox&#x     5   10 |    0    0    5    10    0    5    5 |    0    0    0    1    0    0    5    5    0    0    0    0    1 |   *   *   *    *    *    *    *    * 1440   *    *   *   * | 0   0    0   1   1 0
.x3.o3.x ..        0   12 |    0    0    0     0   12   12    0 |    0    0    0    0    0    0    0    0    4    6    0    4    0 |   *   *   *    *    *    *    *    *    * 600    *   *   * | 0   1    0   0   0 1
.x3.o .. .x        0    6 |    0    0    0     0    6    0    3 |    0    0    0    0    0    0    0    0    2    0    3    0    0 |   *   *   *    *    *    *    *    *    *   * 1200   *   * | 0   0    1   0   0 1
.x .. .x5.x        0   20 |    0    0    0     0   10   10   10 |    0    0    0    0    0    0    0    0    0    5    5    0    2 |   *   *   *    *    *    *    *    *    *   *    * 720   * | 0   0    0   1   0 1
.. .o3.x5.x        0   60 |    0    0    0     0    0   60   30 |    0    0    0    0    0    0    0    0    0    0    0   20   12 |   *   *   *    *    *    *    *    *    *   *    *   * 120 | 0   0    0   0   1 1
---------------+-----------+-------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3x.3x.5o.     7200    0 | 3600 3600 7200     0    0    0    0 | 1200 3600 2400 1440    0    0    0    0    0    0    0    0    0 | 600 720 120    0    0    0    0    0    0   0    0   0   0 | 1   *    *   *   * *
xx3xo3xx ..&#x    24   12 |   12   12   12    24   12   12    0 |    4    6    4    0   12   12   12    0    4    6    0    4    0 |   1   0   0    4    6    0    4    0    0   1    0   0   0 | * 600    *   *   * *
xx3xo .. ox&#x     6    6 |    3    3    0    12    6    0    3 |    1    0    0    0    6    6    0    6    2    0    3    0    0 |   0   0   0    2    0    3    0    3    0   0    1   0   0 | *   * 1200   *   * *
xx .. xx5ox&#x    10   20 |    5    0   10    20   10   10   10 |    0    5    0    2   10    0   10   10    0    5    5    0    2 |   0   1   0    0    5    5    0    0    2   0    0   1   0 | *   *    * 720   * *
.. xo3xx5ox&#x    60   60 |    0   30   60   120    0   60   30 |    0    0   20   12    0   60   60   60    0    0    0   20   12 |   0   0   1    0    0    0   20   30   12   0    0   0   1 | *   *    *   * 120 *
.x3.o3.x5.x        0 7200 |    0    0    0     0 7200 7200 3600 |    0    0    0    0    0    0    0    0 2400 3600 3600 2400 1440 |   0   0   0    0    0    0    0    0    0 600 1200 720 120 | *   *    *   *   * 1

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