Acronym ..., sidpith || prit
Name (degenerate) sidpith atop prit
Circumradius ∞   i.e. flat in euclidean space
Face vector 256, 864, 1056, 528, 82
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

xx3ox3oo4xx&#x   → height = 0
(sidpith || prit)

o.3o.3o.4o.    | 64   * |  3  3   3  0   0   0 |  3  6  3  3   3   6  0  0  0  0  0 |  1  3  3 1  3  6  1  3  3  0  0  0 0 | 1  1  3  3 1 0
.o3.o3.o4.o    |  * 192 |  0  0   1  1   2   2 |  0  0  0  1   2   2  2  2  1  2  1 |  0  0  0 0  2  2  1  2  1  1  2  1 1 | 0  1  2  1 1 1
---------------+--------+----------------------+------------------------------------+--------------------------------------+---------------
x. .. .. ..    |  2   0 | 96  *   *  *   *   * |  2  2  0  1   0   0  0  0  0  0  0 |  1  2  1 0  2  2  0  0  0  0  0  0 0 | 1  1  2  1 0 0
.. .. .. x.    |  2   0 |  * 96   *  *   *   * |  0  2  2  0   0   2  0  0  0  0  0 |  0  1  2 1  0  2  0  1  2  0  0  0 0 | 1  0  1  2 1 0
oo3oo3oo4oo&#x |  1   1 |  *  * 192  *   *   * |  0  0  0  1   2   2  0  0  0  0  0 |  0  0  0 0  2  2  1  2  1  0  0  0 0 | 0  1  2  1 1 0
.x .. .. ..    |  0   2 |  *  *   * 96   *   * |  0  0  0  1   0   0  2  2  0  0  0 |  0  0  0 0  2  2  0  0  0  1  2  1 0 | 0  1  2  1 0 1
.. .x .. ..    |  0   2 |  *  *   *  * 192   * |  0  0  0  0   1   0  1  0  1  1  0 |  0  0  0 0  1  0  1  1  0  1  1  0 1 | 0  1  1  0 1 1
.. .. .. .x    |  0   2 |  *  *   *  *   * 192 |  0  0  0  0   0   1  0  1  0  1  1 |  0  0  0 0  0  1  0  1  1  0  1  1 1 | 0  0  1  1 1 1
---------------+--------+----------------------+------------------------------------+--------------------------------------+---------------
x.3o. .. ..    |  3   0 |  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  2   0  0   0   0 |  * 96  *  *   *   *  *  *  *  *  * |  0  1  1 0  0  1  0  0  0  0  0  0 0 | 1  0  1  1 0 0
.. .. o.4x.    |  4   0 |  0  4   0  0   0   0 |  *  * 48  *   *   *  *  *  *  *  * |  0  0  1 1  0  0  0  0  1  0  0  0 0 | 1  0  0  1 1 0
xx .. .. ..&#x |  2   2 |  1  0   2  1   0   0 |  *  *  * 96   *   *  *  *  *  *  * |  0  0  0 0  2  2  0  0  0  0  0  0 0 | 0  1  2  1 0 0
.. ox .. ..&#x |  1   2 |  0  0   2  0   1   0 |  *  *  *  * 192   *  *  *  *  *  * |  0  0  0 0  1  0  1  1  0  0  0  0 0 | 0  1  1  0 1 0
.. .. .. xx&#x |  2   2 |  0  1   2  0   0   1 |  *  *  *  *   * 192  *  *  *  *  * |  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  3   3   0 |  *  *  *  *   *   * 64  *  *  *  * |  0  0  0 0  1  0  0  0  0  1  1  0 0 | 0  1  1  0 0 1
.x .. .. .x    |  0   4 |  0  0   0  2   0   2 |  *  *  *  *   *   *  * 96  *  *  * |  0  0  0 0  0  1  0  0  0  0  1  1 0 | 0  0  1  1 0 1
.. .x3.o ..    |  0   3 |  0  0   0  0   3   0 |  *  *  *  *   *   *  *  * 64  *  * |  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   2   2 |  *  *  *  *   *   *  *  *  * 96  * |  0  0  0 0  0  0  0  1  0  0  1  0 1 | 0  0  1  0 1 1
.. .. .o4.x    |  0   4 |  0  0   0  0   0   4 |  *  *  *  *   *   *  *  *  *  * 48 |  0  0  0 0  0  0  0  0  1  0  0  1 1 | 0  0  0  1 1 1
---------------+--------+----------------------+------------------------------------+--------------------------------------+---------------
x.3o.3o. ..      4   0 |  6  0   0  0   0   0 |  4  0  0  0   0   0  0  0  0  0  0 | 16  *  * *  *  *  *  *  *  *  *  * * | 1  1  0  0 0 0
x.3o. .. x.      6   0 |  6  3   0  0   0   0 |  2  3  0  0   0   0  0  0  0  0  0 |  * 32  * *  *  *  *  *  *  *  *  * * | 1  0  1  0 0 0
x. .. o.4x.      8   0 |  4  8   0  0   0   0 |  0  4  2  0   0   0  0  0  0  0  0 |  *  * 24 *  *  *  *  *  *  *  *  * * | 1  0  0  1 0 0
.. o.3o.4x.      8   0 |  0 12   0  0   0   0 |  0  0  6  0   0   0  0  0  0  0  0 |  *  *  * 8  *  *  *  *  *  *  *  * * | 1  0  0  0 1 0
xx3ox .. ..&#x   3   6 |  3  0   6  3   3   0 |  1  0  0  3   3   0  1  0  0  0  0 |  *  *  * * 64  *  *  *  *  *  *  * * | 0  1  1  0 0 0
xx .. .. xx&#x   4   4 |  2  2   4  2   0   2 |  0  1  0  2   0   2  0  1  0  0  0 |  *  *  * *  * 96  *  *  *  *  *  * * | 0  0  1  1 0 0
.. ox3oo ..&#x   1   3 |  0  0   3  0   3   0 |  0  0  0  0   3   0  0  0  1  0  0 |  *  *  * *  *  * 64  *  *  *  *  * * | 0  1  0  0 1 0
.. ox .. xx&#x   2   4 |  0  1   4  0   2   2 |  0  0  0  0   2   2  0  0  0  1  0 |  *  *  * *  *  *  * 96  *  *  *  * * | 0  0  1  0 1 0
.. .. oo4xx&#x   4   4 |  0  4   4  0   0   4 |  0  0  1  0   0   4  0  0  0  0  1 |  *  *  * *  *  *  *  * 48  *  *  * * | 0  0  0  1 1 0
.x3.x3.o ..      0  12 |  0  0   0  6  12   0 |  0  0  0  0   0   0  4  0  4  0  0 |  *  *  * *  *  *  *  *  * 16  *  * * | 0  1  0  0 0 1
.x3.x .. .x      0  12 |  0  0   0  6   6   6 |  0  0  0  0   0   0  2  3  0  3  0 |  *  *  * *  *  *  *  *  *  * 32  * * | 0  0  1  0 0 1
.x .. .o4.x      0   8 |  0  0   0  4   0   8 |  0  0  0  0   0   0  0  4  0  0  2 |  *  *  * *  *  *  *  *  *  *  * 24 * | 0  0  0  1 0 1
.. .x3.o4.x      0  24 |  0  0   0  0  24  24 |  0  0  0  0   0   0  0  0  8 12  6 |  *  *  * *  *  *  *  *  *  *  *  * 8 | 0  0  0  0 1 1
---------------+--------+----------------------+------------------------------------+--------------------------------------+---------------
x.3o.3o.4x.     64   0 | 96 96   0  0   0   0 | 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  *  *  * * *
xx3ox3oo ..&#x   4  12 |  6  0  12  6  12   0 |  4  0  0  6  12   0  4  0  4  0  0 |  1  0  0 0  4  0  4  0  0  1  0  0 0 | * 16  *  * * *
xx3ox .. xx&#x   6  12 |  6  3  12  6   6   6 |  2  3  0  6   6   6  2  3  0  3  0 |  0  1  0 0  2  3  0  3  0  0  1  0 0 | *  * 32  * * *
xx .. oo4xx&#x   8   8 |  4  8   8  4   0   8 |  0  4  2  4   0   8  0  4  0  0  2 |  0  0  1 0  0  4  0  0  2  0  0  1 0 | *  *  * 24 * *
.. ox3oo4xx&#x   8  24 |  0 12  24  0  24  24 |  0  0  6  0  24  24  0  0  8 12  6 |  0  0  0 1  0  0  8 12  6  0  0  0 1 | *  *  *  * 8 *
.x3.x3.o4.x      0 192 |  0  0   0 96 192 192 |  0  0  0  0   0   0 64 96 64 96 48 |  0  0  0 0  0  0  0  0  0 16 32 24 8 | *  *  *  * * 1

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