Acronym ..., tah || grit
Name (degenerate) tah 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

oo3xx3xx4ox&#x   → height = 0
(tah || grit)

o.3o.3o.4o.    | 96   * |  2  2   2   0  0  0 |  1  4  1   1  2  1  0  0  0  0 |  2 2  2  4  1  1  0  0 0 | 1  2  1 2 0
.o3.o3.o4.o    |  * 192 |  0  0   1   2  1  1 |  0  0  0   2  1  1  1  2  2  1 |  0 0  1  2  2  1  1  1 2 | 0  1  1 2 1
---------------+--------+---------------------+--------------------------------+--------------------------+------------
.. x. .. ..    |  2   0 | 96  *   *   *  *  * |  1  2  0   2  0  0  0  0  0  0 |  2 1  2  2  1  0  0  0 0 | 1  2  1 1 0
.. .. x. ..    |  2   0 |  * 96   *   *  *  * |  0  2  1   0  1  0  0  0  0  0 |  1 2  0  2  0  1  0  0 0 | 1  1  0 2 0
oo3oo3oo4oo&#x |  1   1 |  *  * 192   *  *  * |  0  0  0   2  1  1  0  0  0  0 |  0 0  1  2  2  1  0  0 0 | 0  1  1 2 0
.. .x .. ..    |  0   2 |  *  *   * 192  *  * |  0  0  0   1  0  0  1  1  1  0 |  0 0  1  1  1  0  1  1 1 | 0  1  1 1 1
.. .. .x ..    |  0   2 |  *  *   *   * 96  * |  0  0  0   0  1  0  0  2  0  1 |  0 0  0  2  0  1  1  0 2 | 0  1  0 2 1
.. .. .. .x    |  0   2 |  *  *   *   *  * 96 |  0  0  0   0  0  1  0  0  2  1 |  0 0  0  0  2  1  0  1 2 | 0  0  1 2 1
---------------+--------+---------------------+--------------------------------+--------------------------+------------
o.3x. .. ..    |  3   0 |  3  0   0   0  0  0 | 32  *  *   *  *  *  *  *  *  * |  2 0  2  0  0  0  0  0 0 | 1  2  1 0 0
.. x.3x. ..    |  6   0 |  3  3   0   0  0  0 |  * 64  *   *  *  *  *  *  *  * |  1 1  0  1  0  0  0  0 0 | 1  1  0 1 0
.. .. x.4o.    |  4   0 |  0  4   0   0  0  0 |  *  * 24   *  *  *  *  *  *  * |  0 2  0  0  0  1  0  0 0 | 1  0  0 2 0
.. xx .. ..&#x |  2   2 |  1  0   2   1  0  0 |  *  *  * 192  *  *  *  *  *  * |  0 0  1  1  1  0  0  0 0 | 0  1  1 1 0
.. .. xx ..&#x |  2   2 |  0  1   2   0  1  0 |  *  *  *   * 96  *  *  *  *  * |  0 0  0  2  0  1  0  0 0 | 0  1  0 2 0
.. .. .. ox&#x |  1   2 |  0  0   2   0  0  1 |  *  *  *   *  * 96  *  *  *  * |  0 0  0  0  2  1  0  0 0 | 0  0  1 2 0
.o3.x .. ..    |  0   3 |  0  0   0   3  0  0 |  *  *  *   *  *  * 64  *  *  * |  0 0  1  0  0  0  1  1 0 | 0  1  1 0 1
.. .x3.x ..    |  0   6 |  0  0   0   3  3  0 |  *  *  *   *  *  *  * 64  *  * |  0 0  0  1  0  0  1  0 1 | 0  1  0 1 1
.. .x .. .x    |  0   4 |  0  0   0   2  0  2 |  *  *  *   *  *  *  *  * 96  * |  0 0  0  0  1  0  0  1 1 | 0  0  1 1 1
.. .. .x4.x    |  0   8 |  0  0   0   0  4  4 |  *  *  *   *  *  *  *  *  * 24 |  0 0  0  0  0  1  0  0 2 | 0  0  0 2 1
---------------+--------+---------------------+--------------------------------+--------------------------+------------
o.3x.3x. ..     12   0 | 12  6   0   0  0  0 |  4  4  0   0  0  0  0  0  0  0 | 16 *  *  *  *  *  *  * * | 1  1  0 0 0
.. x.3x.4o.     24   0 | 12 24   0   0  0  0 |  0  8  6   0  0  0  0  0  0  0 |  * 8  *  *  *  *  *  * * | 1  0  0 1 0
oo3xx .. ..&#x   3   3 |  3  0   3   3  0  0 |  1  0  0   3  0  0  1  0  0  0 |  * * 64  *  *  *  *  * * | 0  1  1 0 0
.. xx3xx ..&#x   6   6 |  3  3   6   3  3  0 |  0  1  0   3  3  0  0  1  0  0 |  * *  * 64  *  *  *  * * | 0  1  0 1 0
.. xx .. ox&#x   1   4 |  1  0   4   2  0  2 |  0  0  0   2  0  2  0  0  1  0 |  * *  *  * 96  *  *  * * | 0  0  1 1 0
.. .. xx4ox&#x   4   8 |  0  4   8   0  4  4 |  0  0  1   0  4  4  0  0  0  1 |  * *  *  *  * 24  *  * * | 0  0  0 2 0
.o3.x3.x ..      0  12 |  0  0   0  12  6  0 |  0  0  0   0  0  0  4  4  0  0 |  * *  *  *  *  * 16  * * | 0  1  0 0 1
.o3.x .. .x      0   6 |  0  0   0   6  0  3 |  0  0  0   0  0  0  2  0  3  0 |  * *  *  *  *  *  * 32 * | 0  0  1 0 1
.. .x3.x4.x      0  48 |  0  0   0  24 24 24 |  0  0  0   0  0  0  0  8 12  6 |  * *  *  *  *  *  *  * 8 | 0  0  0 1 1
---------------+--------+---------------------+--------------------------------+--------------------------+------------
o.3x.3x.4o.     96   0 | 96 96   0   0  0  0 | 32 64 24   0  0  0  0  0  0  0 | 16 8  0  0  0  0  0  0 0 | 1  *  * * *
oo3xx3xx ..&#x  12  12 | 12  6  12  12  6  0 |  4  4  0  12  6  0  4  4  0  0 |  1 0  4  4  0  0  1  0 0 | * 16  * * *
oo3xx .. ox&#x   3   6 |  3  0   6   6  0  3 |  1  0  0   6  0  3  2  0  3  0 |  0 0  2  0  3  0  0  1 0 | *  * 32 * *
.. xx3xx4ox&#x  24  48 | 12 24  48  24 24 24 |  0  8  6  24 24 24  0  8 12  6 |  0 1  0  8 12  6  0  0 1 | *  *  * 8 *
.o3.x3.x4.x      0 192 |  0  0   0 192 96 96 |  0  0  0   0  0  0 64 64 96 24 |  0 0  0  0  0  0 16 32 8 | *  *  * * 1

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