Acronym hiarahi, hi || rahi Name (degenerate) hi atop rahi Circumradius ∞   i.e. flat in euclidean space Confer general polytopal classes: fundamental lace prisms   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

oo3oo3ox5xo&#x   → height = 0
(hi || rahi)

o.3o.3o.5o.    | 600    * |    4    4    0 |   6    6    4    0   0 |   4    4   6   0   0 | 1   1   4 0
.o3.o3.o5.o    |   * 1200 |    0    2    6 |   0    6    1    6   3 |   0    6   3   2   3 | 0   2   3 1
---------------+----------+----------------+------------------------+----------------------+------------
.. .. .. x.    |   2    0 | 1200    *    * |   3    0    1    0   0 |   3    0   3   0   0 | 1   0   3 0
oo3oo3oo5oo&#x |   1    1 |    * 2400    * |   0    3    1    0   0 |   0    3   3   0   0 | 0   1   3 0
.. .. .x ..    |   0    2 |    *    * 3600 |   0    1    0    2   1 |   0    2   1   1   2 | 0   1   2 1
---------------+----------+----------------+------------------------+----------------------+------------
.. .. o.5x.    |   5    0 |    5    0    0 | 720    *    *    *   * |   2    0   1   0   0 | 1   0   2 0
.. .. ox ..&#x |   1    2 |    0    2    1 |   * 3600    *    *   * |   0    2   1   0   0 | 0   1   2 0
.. .. .. xo&#x |   2    1 |    1    2    0 |   *    * 1200    *   * |   0    0   3   0   0 | 0   0   3 0
.. .o3.x ..    |   0    3 |    0    0    3 |   *    *    * 2400   * |   0    1   0   1   1 | 0   1   1 1
.. .. .x5.o    |   0    5 |    0    0    5 |   *    *    *    * 720 |   0    0   1   0   2 | 0   0   2 1
---------------+----------+----------------+------------------------+----------------------+------------
.. o.3.o.5x.     20    0 |   30    0    0 |  12    0    0    0   0 | 120    *   *   *   * | 1   0   1 0
.. oo3ox ..&#x    1    3 |    0    3    3 |   0    3    0    1   0 |   * 2400   *   *   * | 0   1   1 0
.. .. ox5xo&#x    5    5 |    5   10    5 |   1    5    5    0   1 |   *    * 720   *   * | 0   0   2 0
.o3.o3.x ..       0    4 |    0    0    6 |   0    0    0    4   0 |   *    *   * 600   * | 0   1   0 1
.. .o3.x5.o       0   30 |    0    0   60 |   0    0    0   20  12 |   *    *   *   * 120 | 0   0   1 1
---------------+----------+----------------+------------------------+----------------------+------------
o.3o.3o.5x.     600    0 | 1200    0    0 | 720    0    0    0   0 | 120    0   0   0   0 | 1   *   * *
oo3oo3ox ..&#x    1    4 |    0    4    6 |   0    6    0    4   0 |   0    4   0   1   0 | * 600   * *
.. oo3ox5xo&#x   20   30 |   30   60   60 |  12   60   30   20  12 |   1   20  12   0   1 | *   * 120 *
.o3.o3.x5.o       0 1200 |    0    0 3600 |   0    0    0 2400 720 |   0    0   0 600 120 | *   *   * 1