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

oo3xx3ox5xo&#x   → height = 0
(srahi || xhi)

o.3o.3o.5o.    | 3600    * |    4    2    2    0    0 |    2    2    4   1    4    1    2    0    0   0 |   1    2   2    2    2    4   1   0   0 | 1   1    2   2 0
.o3.o3.o5.o    |    * 3600 |    0    0    2    2    2 |    0    0    0   0    4    2    1    1    4   1 |   0    0   0    2    4    2   1   2   2 | 0   2    1   2 1
---------------+-----------+--------------------------+-------------------------------------------------+-----------------------------------------+-----------------
.. x. .. ..    |    2    0 | 7200    *    *    *    * |    1    1    1   0    1    0    0    0    0   0 |   1    1   1    1    1    1   0   0   0 | 1   1    1   1 0
.. .. .. x.    |    2    0 |    * 3600    *    *    * |    0    0    2   1    0    0    1    0    0   0 |   0    1   2    0    0    2   1   0   0 | 1   0    1   2 0
oo3oo3oo5oo&#x |    1    1 |    *    * 7200    *    * |    0    0    0   0    2    1    1    0    0   0 |   0    0   0    1    2    2   1   0   0 | 0   1    1   2 0
.. .x .. ..    |    0    2 |    *    *    * 3600    * |    0    0    0   0    2    0    0    1    2   0 |   0    0   0    2    2    1   0   2   1 | 0   2    1   1 1
.. .. .x ..    |    0    2 |    *    *    *    * 3600 |    0    0    0   0    0    1    0    0    2   1 |   0    0   0    0    2    0   1   1   2 | 0   1    0   2 1
---------------+-----------+--------------------------+-------------------------------------------------+-----------------------------------------+-----------------
o.3x. .. ..    |    3    0 |    3    0    0    0    0 | 2400    *    *   *    *    *    *    *    *   * |   1    1   0    1    0    0   0   0   0 | 1   1    1   0 0
.. x.3o. ..    |    3    0 |    3    0    0    0    0 |    * 2400    *   *    *    *    *    *    *   * |   1    0   1    0    1    0   0   0   0 | 1   1    0   1 0
.. x. .. x.    |    4    0 |    2    2    0    0    0 |    *    * 3600   *    *    *    *    *    *   * |   0    1   1    0    0    1   0   0   0 | 1   0    1   1 0
.. .. o.5x.    |    5    0 |    0    5    0    0    0 |    *    *    * 720    *    *    *    *    *   * |   0    0   2    0    0    0   1   0   0 | 1   0    0   2 0
.. xx .. ..&#x |    2    2 |    1    0    2    1    0 |    *    *    *   * 7200    *    *    *    *   * |   0    0   0    1    1    1   0   0   0 | 0   1    1   1 0
.. .. ox ..&#x |    1    2 |    0    0    2    0    1 |    *    *    *   *    * 3600    *    *    *   * |   0    0   0    0    2    0   1   0   0 | 0   1    0   2 0
.. .. .. xo&#x |    2    1 |    0    1    2    0    0 |    *    *    *   *    *    * 3600    *    *   * |   0    0   0    0    0    2   1   0   0 | 0   0    1   2 0
.o3.x .. ..    |    0    3 |    0    0    0    3    0 |    *    *    *   *    *    *    * 1200    *   * |   0    0   0    2    0    0   0   2   0 | 0   2    1   0 1
.. .x3.x ..    |    0    6 |    0    0    0    3    3 |    *    *    *   *    *    *    *    * 2400   * |   0    0   0    0    1    0   0   1   1 | 0   1    0   1 1
.. .. .x5.o    |    0    5 |    0    0    0    0    5 |    *    *    *   *    *    *    *    *    * 720 |   0    0   0    0    0    0   1   0   2 | 0   0    0   2 1
---------------+-----------+--------------------------+-------------------------------------------------+-----------------------------------------+-----------------
o.3x.3o. ..        6    0 |   12    0    0    0    0 |    4    4    0   0    0    0    0    0    0   0 | 600    *   *    *    *    *   *   *   * | 1   1    0   0 0
o.3x. .. x.        6    0 |    6    3    0    0    0 |    2    0    3   0    0    0    0    0    0   0 |   * 1200   *    *    *    *   *   *   * | 1   0    1   0 0
.. x.3o.5x.       60    0 |   60   60    0    0    0 |    0   20   30  12    0    0    0    0    0   0 |   *    * 120    *    *    *   *   *   * | 1   0    0   1 0
oo3xx .. ..&#x     3    3 |    3    0    3    3    0 |    1    0    0   0    3    0    0    1    0   0 |   *    *   * 2400    *    *   *   *   * | 0   1    1   0 0
.. xx3ox ..&#x     3    6 |    3    0    6    3    3 |    0    1    0   0    3    3    0    0    1   0 |   *    *   *    * 2400    *   *   *   * | 0   1    0   1 0
.. xx .. xo&#x     4    2 |    2    2    4    1    0 |    0    0    1   0    2    0    2    0    0   0 |   *    *   *    *    * 3600   *   *   * | 0   0    1   1 0
.. .. ox5xo&#x     5    5 |    0    5   10    0    5 |    0    0    0   1    0    5    5    0    0   1 |   *    *   *    *    *    * 720   *   * | 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 |   *    *   *    *    *    *   * 600   * | 0   1    0   0 1
.. .x3.x5.o        0   60 |    0    0    0   30   60 |    0    0    0   0    0    0    0    0   20  12 |   *    *   *    *    *    *   *   * 120 | 0   0    0   1 1
---------------+-----------+--------------------------+-------------------------------------------------+-----------------------------------------+-----------------
o.3x.3o.5x.     3600    0 | 7200 3600    0    0    0 | 2400 2400 3600 720    0    0    0    0    0   0 | 600 1200 120    0    0    0   0   0   0 | 1   *    *   * *
oo3xx3ox ..&#x     6   12 |   12    0   12   12    6 |    4    4    0   0   12    6    0    4    4   0 |   1    0   0    4    4    0   0   1   0 | * 600    *   * *
oo3xx .. xo&#x     6    3 |    6    3    6    3    0 |    2    0    3   0    6    0    3    1    0   0 |   0    1   0    2    0    3   0   0   0 | *   * 1200   * *
.. xx3ox5xo&#x    60   60 |   60   60  120   30   60 |    0   20   30  12   60   60   60    0   20  12 |   0    0   1    0   20   30  12   0   1 | *   *    * 120 *
.o3.x3.x5.o        0 3600 |    0    0    0 3600 3600 |    0    0    0   0    0    0    0 1200 2400 720 |   0    0   0    0    0    0   0 600 120 | *   *    *   * 1

© 2004-2019
top of page