Acronym prixip
Name prismatorhombated-hexacosachoron prism,
runcitruncated-hexacosachoron prism
Circumradius sqrt[193+84 sqrt(5)]/2 = 9.757429
Confer
general polytopal classes:
segmentotera  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

x x3o3x5x

o o3o3o5o | 14400 |    1     2     2    1 |    2    2    1    1    2    2    1    2 |    1    2    2    1    2    1    1    2   1 |   1    1   2   1 1
----------+-------+-----------------------+-----------------------------------------+---------------------------------------------+-------------------
x . . . . |     2 | 7200     *     *    * |    2    2    1    0    0    0    0    0 |    1    2    2    1    2    0    0    0   0 |   1    1   2   1 0
. x . . . |     2 |    * 14400     *    * |    1    0    0    1    1    1    0    0 |    1    1    1    0    0    1    1    1   0 |   1    1   1   0 1
. . . x . |     2 |    *     * 14400    * |    0    1    0    0    1    0    1    1 |    0    1    0    1    1    1    0    1   1 |   1    0   1   1 1
. . . . x |     2 |    *     *     * 7200 |    0    0    1    0    0    2    0    2 |    0    0    2    0    2    0    1    2   1 |   0    1   2   1 1
----------+-------+-----------------------+-----------------------------------------+---------------------------------------------+-------------------
x x . . . |     4 |    2     2     0    0 | 7200    *    *    *    *    *    *    * |    1    1    1    0    0    0    0    0   0 |   1    1   1   0 0
x . . x . |     4 |    2     0     2    0 |    * 7200    *    *    *    *    *    * |    0    1    0    1    1    0    0    0   0 |   1    0   1   1 0
x . . . x |     4 |    2     0     0    2 |    *    * 3600    *    *    *    *    * |    0    0    2    0    2    0    0    0   0 |   0    1   2   1 0
. x3o . . |     3 |    0     3     0    0 |    *    *    * 4800    *    *    *    * |    1    0    0    0    0    1    1    0   0 |   1    1   0   0 1
. x . x . |     4 |    0     2     2    0 |    *    *    *    * 7200    *    *    * |    0    1    0    0    0    1    0    1   0 |   1    0   1   0 1
. x . . x |     4 |    0     2     0    2 |    *    *    *    *    * 7200    *    * |    0    0    1    0    0    0    1    1   0 |   0    1   1   0 1
. . o3x . |     3 |    0     0     3    0 |    *    *    *    *    *    * 4800    * |    0    0    0    1    0    1    0    0   1 |   1    0   0   1 1
. . . x5x |    10 |    0     0     5    5 |    *    *    *    *    *    *    * 2880 |    0    0    0    0    1    0    0    1   1 |   0    0   1   1 1
----------+-------+-----------------------+-----------------------------------------+---------------------------------------------+-------------------
x x3o . .      6 |    3     6     0    0 |    3    0    0    2    0    0    0    0 | 2400    *    *    *    *    *    *    *   * |   1    1   0   0 0
x x . x .      8 |    4     4     4    0 |    2    2    0    0    2    0    0    0 |    * 3600    *    *    *    *    *    *   * |   1    0   1   0 0
x x . . x      8 |    4     4     0    4 |    2    0    2    0    0    2    0    0 |    *    * 3600    *    *    *    *    *   * |   0    1   1   0 0
x . o3x .      6 |    3     0     6    0 |    0    3    0    0    0    0    2    0 |    *    *    * 2400    *    *    *    *   * |   1    0   0   1 0
x . . x5x     20 |   10     0    10   10 |    0    5    5    0    0    0    0    2 |    *    *    *    * 1440    *    *    *   * |   0    0   1   1 0
. x3o3x .     12 |    0    12    12    0 |    0    0    0    4    6    0    4    0 |    *    *    *    *    * 1200    *    *   * |   1    0   0   0 1
. x3o . x      6 |    0     6     0    3 |    0    0    0    2    0    3    0    0 |    *    *    *    *    *    * 2400    *   * |   0    1   0   0 1
. x . x5x     20 |    0    10    10   10 |    0    0    0    0    5    5    0    2 |    *    *    *    *    *    *    * 1440   * |   0    0   1   0 1
. . o3x5x     60 |    0     0    60   30 |    0    0    0    0    0    0   20   12 |    *    *    *    *    *    *    *    * 240 |   0    0   0   1 1
----------+-------+-----------------------+-----------------------------------------+---------------------------------------------+-------------------
x x3o3x .     24 |   12    24    24    0 |   12   12    0    8   12    0    8    0 |    4    6    0    4    0    2    0    0   0 | 600    *   *   * *
x x3o . x     12 |    6    12     0    6 |    6    0    3    4    0    6    0    0 |    2    0    3    0    0    0    2    0   0 |   * 1200   *   * *
x x . x5x     40 |   20    20    20   20 |   10   10   10    0   10   10    0    4 |    0    5    5    0    2    0    0    2   0 |   *    * 720   * *
x . o3x5x    120 |   60     0   120   60 |    0   60   30    0    0    0   40   24 |    0    0    0   20   12    0    0    0   2 |   *    *   * 120 *
. x3o3x5x   7200 |    0  7200  7200 3600 |    0    0    0 2400 3600 3600 2400 1440 |    0    0    0    0    0  600 1200  720 120 |   *    *   *   * 2

xx3oo3xx5xx&#x   → height = 1
(prix || prix)

o.3o.3o.5o.    | 7200    * |    2    2    1    1    0    0    0 |    1    2    2    1    2    2    2    1    0    0    0    0    0 |   1    1   2   1    1    2    2    1    2   0    0   0   0 | 1   1    1   2   1 0
.o3.o3.o5.o    |    * 7200 |    0    0    0    1    2    2    1 |    0    0    0    0    0    2    2    1    1    2    2    1    2 |   0    0   0   0    1    2    2    1    2   1    1   2   1 | 0   1    1   2   1 1
---------------+-----------+------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x. .. .. ..    |    2    0 | 7200    *    *    *    *    *    * |    1    1    1    0    0    1    0    0    0    0    0    0    0 |   1    1   1   0    1    1    1    0    0   0    0   0   0 | 1   1    1   1   0 0
.. .. x. ..    |    2    0 |    * 7200    *    *    *    *    * |    0    1    0    1    1    0    1    0    0    0    0    0    0 |   1    0   1   1    0    1    0    1    1   0    0   0   0 | 1   1    0   1   1 0
.. .. .. x.    |    2    0 |    *    * 3600    *    *    *    * |    0    0    2    0    2    0    0    1    0    0    0    0    0 |   0    1   2   1    0    0    2    0    2   0    0   0   0 | 1   0    1   2   1 0
oo3oo3oo5oo&#x |    1    1 |    *    *    * 7200    *    *    * |    0    0    0    0    0    2    2    1    0    0    0    0    0 |   0    0   0   0    1    2    2    1    2   0    0   0   0 | 0   1    1   2   1 0
.x .. .. ..    |    0    2 |    *    *    *    * 7200    *    * |    0    0    0    0    0    1    0    0    1    1    1    0    0 |   0    0   0   0    1    1    1    0    0   1    1   1   0 | 0   1    1   1   0 1
.. .. .x ..    |    0    2 |    *    *    *    *    * 7200    * |    0    0    0    0    0    0    1    0    0    1    0    1    1 |   0    0   0   0    0    1    0    1    1   1    0   1   1 | 0   1    0   1   1 1
.. .. .. .x    |    0    2 |    *    *    *    *    *    * 3600 |    0    0    0    0    0    0    0    1    0    0    2    0    2 |   0    0   0   0    0    0    2    0    2   0    1   2   1 | 0   0    1   2   1 1
---------------+-----------+------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3o. .. ..    |    3    0 |    3    0    0    0    0    0    0 | 2400    *    *    *    *    *    *    *    *    *    *    *    * |   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    0 |    * 3600    *    *    *    *    *    *    *    *    *    *    * |   1    0   1   0    0    1    0    0    0   0    0   0   0 | 1   1    0   1   0 0
x. .. .. x.    |    4    0 |    2    0    2    0    0    0    0 |    *    * 3600    *    *    *    *    *    *    *    *    *    * |   0    1   1   0    0    0    1    0    0   0    0   0   0 | 1   0    1   1   0 0
.. o.3x. ..    |    3    0 |    0    3    0    0    0    0    0 |    *    *    * 2400    *    *    *    *    *    *    *    *    * |   1    0   0   1    0    0    0    1    0   0    0   0   0 | 1   1    0   0   1 0
.. .. x.5x.    |   10    0 |    0    5    5    0    0    0    0 |    *    *    *    * 1440    *    *    *    *    *    *    *    * |   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    0    2    1    0    0 |    *    *    *    *    * 7200    *    *    *    *    *    *    * |   0    0   0   0    1    1    1    0    0   0    0   0   0 | 0   1    1   1   0 0
.. .. xx ..&#x |    2    2 |    0    1    0    2    0    1    0 |    *    *    *    *    *    * 7200    *    *    *    *    *    * |   0    0   0   0    0    1    0    1    1   0    0   0   0 | 0   1    0   1   1 0
.. .. .. xx&#x |    2    2 |    0    0    1    2    0    0    1 |    *    *    *    *    *    *    * 3600    *    *    *    *    * |   0    0   0   0    0    0    2    0    2   0    0   0   0 | 0   0    1   2   1 0
.x3.o .. ..    |    0    3 |    0    0    0    0    3    0    0 |    *    *    *    *    *    *    *    * 2400    *    *    *    * |   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    0    2    2    0 |    *    *    *    *    *    *    *    *    * 3600    *    *    * |   0    0   0   0    0    1    0    0    0   1    0   1   0 | 0   1    0   1   0 1
.x .. .. .x    |    0    4 |    0    0    0    0    2    0    2 |    *    *    *    *    *    *    *    *    *    * 3600    *    * |   0    0   0   0    0    0    1    0    0   0    1   1   0 | 0   0    1   1   0 1
.. .o3.x ..    |    0    3 |    0    0    0    0    0    3    0 |    *    *    *    *    *    *    *    *    *    *    * 2400    * |   0    0   0   0    0    0    0    1    0   1    0   0   1 | 0   1    0   0   1 1
.. .. .x5.x    |    0   10 |    0    0    0    0    0    5    5 |    *    *    *    *    *    *    *    *    *    *    *    * 1440 |   0    0   0   0    0    0    0    0    1   0    0   1   1 | 0   0    0   1   1 1
---------------+-----------+------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3o.3x. ..       12    0 |   12   12    0    0    0    0    0 |    4    6    0    4    0    0    0    0    0    0    0    0    0 | 600    *   *   *    *    *    *    *    *   *    *   *   * | 1   1    0   0   0 0
x.3o. .. x.        6    0 |    6    0    3    0    0    0    0 |    2    0    3    0    0    0    0    0    0    0    0    0    0 |   * 1200   *   *    *    *    *    *    *   *    *   *   * | 1   0    1   0   0 0
x. .. x.5x.       20    0 |   10   10   10    0    0    0    0 |    0    5    5    0    2    0    0    0    0    0    0    0    0 |   *    * 720   *    *    *    *    *    *   *    *   *   * | 1   0    0   1   0 0
.. o.3x.5x.       60    0 |    0   60   30    0    0    0    0 |    0    0    0   20   12    0    0    0    0    0    0    0    0 |   *    *   * 120    *    *    *    *    *   *    *   *   * | 1   0    0   0   1 0
xx3oo .. ..&#x     3    3 |    3    0    0    3    3    0    0 |    1    0    0    0    0    3    0    0    1    0    0    0    0 |   *    *   *   * 2400    *    *    *    *   *    *   *   * | 0   1    1   0   0 0
xx .. xx ..&#x     4    4 |    2    2    0    4    2    2    0 |    0    1    0    0    0    2    2    0    0    1    0    0    0 |   *    *   *   *    * 3600    *    *    *   *    *   *   * | 0   1    0   1   0 0
xx .. .. xx&#x     4    4 |    2    0    2    4    2    0    2 |    0    0    1    0    0    2    0    2    0    0    1    0    0 |   *    *   *   *    *    * 3600    *    *   *    *   *   * | 0   0    1   1   0 0
.. oo3xx ..&#x     3    3 |    0    3    0    3    0    3    0 |    0    0    0    1    0    0    3    0    0    0    0    1    0 |   *    *   *   *    *    *    * 2400    *   *    *   *   * | 0   1    0   0   1 0
.. .. xx5xx&#x    10   10 |    0    5    5   10    0    5    5 |    0    0    0    0    1    0    5    5    0    0    0    0    1 |   *    *   *   *    *    *    *    * 1440   *    *   *   * | 0   0    0   1   1 0
.x3.o3.x ..        0   12 |    0    0    0    0   12   12    0 |    0    0    0    0    0    0    0    0    4    6    0    4    0 |   *    *   *   *    *    *    *    *    * 600    *   *   * | 0   1    0   0   0 0
.x3.o .. .x        0    6 |    0    0    0    0    6    0    3 |    0    0    0    0    0    0    0    0    2    0    3    0    0 |   *    *   *   *    *    *    *    *    *   * 1200   *   * | 0   0    1   0   0 1
.x .. .x5.x        0   20 |    0    0    0    0   10   10   10 |    0    0    0    0    0    0    0    0    0    5    5    0    2 |   *    *   *   *    *    *    *    *    *   *    * 720   * | 0   0    0   1   0 1
.. .o3.x5.x        0   60 |    0    0    0    0    0   60   30 |    0    0    0    0    0    0    0    0    0    0    0   20   12 |   *    *   *   *    *    *    *    *    *   *    *   * 120 | 0   0    0   0   1 1
---------------+-----------+------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3o.3x.5x.     7200    0 | 7200 7200 3600    0    0    0    0 | 2400 3600 3600 2400 1440    0    0    0    0    0    0    0    0 | 600 1200 720 120    0    0    0    0    0   0    0   0   0 | 1   *    *   *   * *
xx3oo3xx ..&#x    12   12 |   12   12    0   12   12   12    0 |    4    6    0    4    0   12   12    0    4    6    0    4    0 |   1    0   0   0    4    6    0    4    0   1    0   0   0 | * 600    *   *   * *
xx3oo .. xx&#x     6    6 |    6    0    3    6    6    0    3 |    2    0    3    0    0    6    0    3    2    0    3    0    0 |   0    1   0   0    2    0    3    0    0   0    1   0   0 | *   * 1200   *   * *
xx .. xx5xx&#x    20   20 |   10   10   10   20   10   10   10 |    0    5    5    0    2   10   10   10    0    5    5    0    2 |   0    0   1   0    0    5    5    0    2   0    0   1   0 | *   *    * 720   * *
.. oo3xx5xx&#x    60   60 |    0   60   30   60    0   60   30 |    0    0    0   20   12    0   60   30    0    0    0   20   12 |   0    0   0   1    0    0    0   20   12   0    0   0   1 | *   *    *   * 120 *
.x3.o3.x5.x        0 7200 |    0    0    0    0 7200 7200 3600 |    0    0    0    0    0    0    0    0 2400 3600 3600 2400 1440 |   0    0   0   0    0    0    0    0    0 600 1200 720 120 | *   *    *   *   * 1

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