Acronym ..., xhi || thi
Name (degenerate) xhi atop thi
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

oo3xo3xx5ox&#x   → height = 0
(xhi || thi)

o.3o.3o.5o.    | 3600    * |    2    2    2    0    0 |    1    4   1    4    2    1    0   0 |   2   2    2    4    2   1   0   0 | 1   2    1   2 0
.o3.o3.o5.o    |    * 2400 |    0    0    3    3    1 |    0    0   0    3    3    3    2   3 |   0   0    1    3    3   3   1   3 | 0   1    1   3 1
---------------+-----------+--------------------------+---------------------------------------+------------------------------------+-----------------
.. x. .. ..    |    2    0 | 3600    *    *    *    * |    1    2   0    2    0    0    0   0 |   2   1    2    2    1   0   0   0 | 1   2    1   1 0
.. .. x. ..    |    2    0 |    * 3600    *    *    * |    0    2   1    0    1    0    0   0 |   1   2    0    2    0   1   0   0 | 1   1    0   2 0
oo3oo3oo5oo&#x |    1    1 |    *    * 7200    *    * |    0    0   0    2    1    1    0   0 |   0   0    1    2    2   1   0   0 | 0   1    1   2 0
.. .. .x ..    |    0    2 |    *    *    * 3600    * |    0    0   0    0    1    0    2   1 |   0   0    0    2    0   1   1   2 | 0   1    0   2 1
.. .. .. .x    |    0    2 |    *    *    *    * 1200 |    0    0   0    0    0    3    0   3 |   0   0    0    0    3   3   0   3 | 0   0    1   3 1
---------------+-----------+--------------------------+---------------------------------------+------------------------------------+-----------------
o.3x. .. ..    |    3    0 |    3    0    0    0    0 | 1200    *   *    *    *    *    *   * |   2   0    2    0    0   0   0   0 | 1   2    1   0 0
.. x.3x. ..    |    6    0 |    3    3    0    0    0 |    * 2400   *    *    *    *    *   * |   1   1    0    1    0   0   0   0 | 1   1    0   1 0
.. .. x.5o.    |    5    0 |    0    5    0    0    0 |    *    * 720    *    *    *    *   * |   0   2    0    0    0   1   0   0 | 1   0    0   2 0
.. xo .. ..&#x |    2    1 |    1    0    2    0    0 |    *    *   * 7200    *    *    *   * |   0   0    1    1    1   0   0   0 | 0   1    1   1 0
.. .. xx ..&#x |    2    2 |    0    1    2    1    0 |    *    *   *    * 3600    *    *   * |   0   0    0    2    0   1   0   0 | 0   1    0   2 0
.. .. .. ox&#x |    1    2 |    0    0    2    0    1 |    *    *   *    *    * 3600    *   * |   0   0    0    0    2   1   0   0 | 0   0    1   2 0
.. .o3.x ..    |    0    3 |    0    0    0    3    0 |    *    *   *    *    *    * 2400   * |   0   0    0    1    0   0   1   1 | 0   1    0   1 1
.. .. .x5.x    |    0   10 |    0    0    0    5    5 |    *    *   *    *    *    *    * 720 |   0   0    0    0    0   1   0   2 | 0   0    0   2 1
---------------+-----------+--------------------------+---------------------------------------+------------------------------------+-----------------
o.3x.3x. ..       12    0 |   12    6    0    0    0 |    4    4   0    0    0    0    0   0 | 600   *    *    *    *   *   *   * | 1   1    0   0 0
.. x.3x.5o.       60    0 |   30   60    0    0    0 |    0   20  12    0    0    0    0   0 |   * 120    *    *    *   *   *   * | 1   0    0   1 0
oo3xo .. ..&#x     3    1 |    3    0    3    0    0 |    1    0   0    3    0    0    0   0 |   *   * 2400    *    *   *   *   * | 0   1    1   0 0
.. xo3xx ..&#x     6    3 |    3    3    6    3    0 |    0    1   0    3    3    0    1   0 |   *   *    * 2400    *   *   *   * | 0   1    0   1 0
.. xo .. ox&#x     2    2 |    1    0    4    0    1 |    0    0   0    2    0    2    0   0 |   *   *    *    * 3600   *   *   * | 0   0    1   1 0
.. .. xx5ox&#x     5   10 |    0    5   10    5    5 |    0    0   1    0    5    5    0   1 |   *   *    *    *    * 720   *   * | 0   0    0   2 0
.o3.o3.x ..        0    4 |    0    0    0    6    0 |    0    0   0    0    0    0    4   0 |   *   *    *    *    *   * 600   * | 0   1    0   0 1
.. .o3.x5.x        0   60 |    0    0    0   60   30 |    0    0   0    0    0    0   20  12 |   *   *    *    *    *   *   * 120 | 0   0    0   1 1
---------------+-----------+--------------------------+---------------------------------------+------------------------------------+-----------------
o.3x.3x.5o.     3600    0 | 3600 3600    0    0    0 | 1200 2400 720    0    0    0    0   0 | 600 120    0    0    0   0   0   0 | 1   *    *   * *
oo3xo3xx ..&#x    12    4 |   12    6   12    6    0 |    4    4   0   12    6    0    4   0 |   1   0    4    4    0   0   1   0 | * 600    *   * *
oo3xo .. ox&#x     3    2 |    3    0    6    0    1 |    1    0   0    6    0    3    0   0 |   0   0    2    0    3   0   0   0 | *   * 1200   * *
.. xo3xx5ox&#x    60   60 |   30   60  120   60   30 |    0   20  12   60   60   60   20  12 |   0   1    0   20   30  12   0   1 | *   *    * 120 *
.o3.o3.x5.x        0 2400 |    0    0    0 3600 1200 |    0    0   0    0    0    0 2400 720 |   0   0    0    0    0   0 600 120 | *   *    *   * 1

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