Acronym ..., prit || grit
Name (degenerate) prit atop grit
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

xo3xx3ox4xx&#x   → height = 0
(prit || grit)

o.3o.3o.4o.    | 192   * |  1   2   2   2   0  0  0 |  2  2  1  2  1   2   2   1   2  0  0  0  0 |  1  2  1 1  2  1  2  1  2  1  0  0 0 | 1  1  2  1 1 0
.o3.o3.o4.o    |   * 192 |  0   0   0   2   2  1  1 |  0  0  0  0  0   1   2   2   2  1  2  2  1 |  0  0  0 0  1  1  1  2  2  2  1  1 2 | 0  1  1  1 2 1
---------------+---------+--------------------------+--------------------------------------------+--------------------------------------+---------------
x. .. .. ..    |   2   0 | 96   *   *   *   *  *  * |  2  2  0  0  0   1   0   0   0  0  0  0  0 |  1  2  1 0  2  1  2  0  0  0  0  0 0 | 1  1  2  1 0 0
.. x. .. ..    |   2   0 |  * 192   *   *   *  *  * |  1  0  1  1  0   0   1   0   0  0  0  0  0 |  1  1  0 1  1  0  0  1  1  0  0  0 0 | 1  1  1  0 1 0
.. .. .. x.    |   2   0 |  *   * 192   *   *  *  * |  0  1  0  1  1   0   0   0   1  0  0  0  0 |  0  1  1 1  0  0  1  0  1  1  0  0 0 | 1  0  1  1 1 0
oo3oo3oo4oo&#x |   1   1 |  *   *   * 384   *  *  * |  0  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  1  1  1 1 0
.. .x .. ..    |   0   2 |  *   *   *   * 192  *  * |  0  0  0  0  0   0   1   0   0  1  1  1  0 |  0  0  0 0  1  0  0  1  1  0  1  1 1 | 0  1  1  0 1 1
.. .. .x ..    |   0   2 |  *   *   *   *   * 96  * |  0  0  0  0  0   0   0   2   0  0  2  0  1 |  0  0  0 0  0  1  0  2  0  2  1  0 2 | 0  1  0  1 2 1
.. .. .. .x    |   0   2 |  *   *   *   *   *  * 96 |  0  0  0  0  0   0   0   0   1  0  0  2  1 |  0  0  0 0  0  0  1  0  2  2  0  1 2 | 0  0  1  1 2 1
---------------+---------+--------------------------+--------------------------------------------+--------------------------------------+---------------
x.3x. .. ..    |   6   0 |  3   3   0   0   0  0  0 | 64  *  *  *  *   *   *   *   *  *  *  *  * |  1  1  0 0  1  0  0  0  0  0  0  0 0 | 1  1  1  0 0 0
x. .. .. x.    |   4   0 |  2   0   2   0   0  0  0 |  * 96  *  *  *   *   *   *   *  *  *  *  * |  0  1  1 0  0  0  1  0  0  0  0  0 0 | 1  0  1  1 0 0
.. x.3o. ..    |   3   0 |  0   3   0   0   0  0  0 |  *  * 64  *  *   *   *   *   *  *  *  *  * |  1  0  0 1  0  0  0  1  0  0  0  0 0 | 1  1  0  0 1 0
.. x. .. x.    |   4   0 |  0   2   2   0   0  0  0 |  *  *  * 96  *   *   *   *   *  *  *  *  * |  0  1  0 1  0  0  0  0  1  0  0  0 0 | 1  0  1  0 1 0
.. .. o.4x.    |   4   0 |  0   0   4   0   0  0  0 |  *  *  *  * 48   *   *   *   *  *  *  *  * |  0  0  1 1  0  0  0  0  0  1  0  0 0 | 1  0  0  1 1 0
xo .. .. ..&#x |   2   1 |  1   0   0   2   0  0  0 |  *  *  *  *  * 192   *   *   *  *  *  *  * |  0  0  0 0  1  1  1  0  0  0  0  0 0 | 0  1  1  1 0 0
.. xx .. ..&#x |   2   2 |  0   1   0   2   1  0  0 |  *  *  *  *  *   * 192   *   *  *  *  *  * |  0  0  0 0  1  0  0  1  1  0  0  0 0 | 0  1  1  0 1 0
.. .. ox ..&#x |   1   2 |  0   0   0   2   0  1  0 |  *  *  *  *  *   *   * 192   *  *  *  *  * |  0  0  0 0  0  1  0  1  0  1  0  0 0 | 0  1  0  1 1 0
.. .. .. xx&#x |   2   2 |  0   0   1   2   0  0  1 |  *  *  *  *  *   *   *   * 192  *  *  *  * |  0  0  0 0  0  0  1  0  1  1  0  0 0 | 0  0  1  1 1 0
.o3.x .. ..    |   0   3 |  0   0   0   0   3  0  0 |  *  *  *  *  *   *   *   *   * 64  *  *  * |  0  0  0 0  1  0  0  0  0  0  1  1 0 | 0  1  1  0 0 1
.. .x3.x ..    |   0   6 |  0   0   0   0   3  3  0 |  *  *  *  *  *   *   *   *   *  * 64  *  * |  0  0  0 0  0  0  0  1  0  0  1  0 1 | 0  1  0  0 1 1
.. .x .. .x    |   0   4 |  0   0   0   0   2  0  2 |  *  *  *  *  *   *   *   *   *  *  * 96  * |  0  0  0 0  0  0  0  0  1  0  0  1 1 | 0  0  1  0 1 1
.. .. .x4.x    |   0   8 |  0   0   0   0   0  4  4 |  *  *  *  *  *   *   *   *   *  *  *  * 24 |  0  0  0 0  0  0  0  0  0  2  0  0 2 | 0  0  0  1 2 1
---------------+---------+--------------------------+--------------------------------------------+--------------------------------------+---------------
x.3x.3o. ..      12   0 |  6  12   0   0   0  0  0 |  4  0  4  0  0   0   0   0   0  0  0  0  0 | 16  *  * *  *  *  *  *  *  *  *  * * | 1  1  0  0 0 0
x.3x. .. x.      12   0 |  6   6   6   0   0  0  0 |  2  3  0  3  0   0   0   0   0  0  0  0  0 |  * 32  * *  *  *  *  *  *  *  *  * * | 1  0  1  0 0 0
x. .. o.4x.       8   0 |  4   0   8   0   0  0  0 |  0  4  0  0  2   0   0   0   0  0  0  0  0 |  *  * 24 *  *  *  *  *  *  *  *  * * | 1  0  0  1 0 0
.. x.3o.4x.      24   0 |  0  24  24   0   0  0  0 |  0  0  8 12  6   0   0   0   0  0  0  0  0 |  *  *  * 8  *  *  *  *  *  *  *  * * | 1  0  0  0 1 0
xo3xx .. ..&#x    6   3 |  3   3   0   6   3  0  0 |  1  0  0  0  0   3   3   0   0  1  0  0  0 |  *  *  * * 64  *  *  *  *  *  *  * * | 0  1  1  0 0 0
xo .. ox ..&#x    2   2 |  1   0   0   4   0  1  0 |  0  0  0  0  0   2   0   2   0  0  0  0  0 |  *  *  * *  * 96  *  *  *  *  *  * * | 0  1  0  1 0 0
xo .. .. xx&#x    4   2 |  2   0   2   4   0  0  1 |  0  1  0  0  0   2   0   0   2  0  0  0  0 |  *  *  * *  *  * 96  *  *  *  *  * * | 0  0  1  1 0 0
.. xx3ox ..&#x    3   6 |  0   3   0   6   3  3  0 |  0  0  1  0  0   0   3   3   0  0  1  0  0 |  *  *  * *  *  *  * 64  *  *  *  * * | 0  1  0  0 1 0
.. xx .. xx&#x    4   4 |  0   2   2   4   2  0  2 |  0  0  0  1  0   0   2   0   2  0  0  1  0 |  *  *  * *  *  *  *  * 96  *  *  * * | 0  0  1  0 1 0
.. .. ox4xx&#x    4   8 |  0   0   4   8   0  4  4 |  0  0  0  0  1   0   0   4   4  0  0  0  1 |  *  *  * *  *  *  *  *  * 48  *  * * | 0  0  0  1 1 0
.o3.x3.x ..       0  12 |  0   0   0   0  12  6  0 |  0  0  0  0  0   0   0   0   0  4  4  0  0 |  *  *  * *  *  *  *  *  *  * 16  * * | 0  1  0  0 0 1
.o3.x .. .x       0   6 |  0   0   0   0   6  0  3 |  0  0  0  0  0   0   0   0   0  2  0  3  0 |  *  *  * *  *  *  *  *  *  *  * 32 * | 0  0  1  0 0 1
.. .x3.x4.x       0  48 |  0   0   0   0  24 24 24 |  0  0  0  0  0   0   0   0   0  0  8 12  6 |  *  *  * *  *  *  *  *  *  *  *  * 8 | 0  0  0  0 1 1
---------------+---------+--------------------------+--------------------------------------------+--------------------------------------+---------------
x.3x.3o.4x.     192   0 | 96 192 192   0   0  0  0 | 64 96 64 96 48   0   0   0   0  0  0  0  0 | 16 32 24 8  0  0  0  0  0  0  0  0 0 | 1  *  *  * * *
xo3xx3ox ..&#x   12  12 |  6  12   0  24  12  6  0 |  4  0  4  0  0  12  12  12   0  4  4  0  0 |  1  0  0 0  4  6  0  4  0  0  1  0 0 | * 16  *  * * *
xo3xx .. xx&#x   12   6 |  6   6   6  12   6  0  3 |  2  3  0  3  0   6   6   0   6  2  0  3  0 |  0  1  0 0  2  0  3  0  3  0  0  1 0 | *  * 32  * * *
xo .. ox4xx&#x    8   8 |  4   0   8  16   0  4  4 |  0  4  0  0  2   8   0   8   8  0  0  0  1 |  0  0  1 0  0  4  4  0  0  2  0  0 0 | *  *  * 24 * *
.. xx3ox4xx&#x   24  48 |  0  24  24  48  24 24 24 |  0  0  8 12  6   0  24  24  24  0  8 12  6 |  0  0  0 1  0  0  0  8 12  6  0  0 1 | *  *  *  * 8 *
.o3.x3.x4.x       0 192 |  0   0   0   0 192 96 96 |  0  0  0  0  0   0   0   0   0 64 64 96 24 |  0  0  0 0  0  0  0  0  0  0 16 32 8 | *  *  *  * * 1

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