Acronym gidpixhip
Name great-disprismatohexacosihecatonicosachoron prism,
omnitruncated-hexacosachoron prism
Circumradius 3 sqrt[37+16 sqrt(5)]/2 = 12.796423
Confer
general polytopal classes:
segmentotera  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

x x3x3x5x

o o3o3o5o | 28800 |     1     1     1     1     1 |    1    1    1    1    1    1    1    1    1    1 |    1    1    1    1    1    1    1    1    1   1 |   1    1   1   1 1
----------+-------+-------------------------------+---------------------------------------------------+--------------------------------------------------+-------------------
x . . . . |     2 | 14400     *     *     *     * |    1    1    1    1    0    0    0    0    0    0 |    1    1    1    1    1    1    0    0    0   0 |   1    1   1   1 0
. x . . . |     2 |     * 14400     *     *     * |    1    0    0    0    1    1    1    0    0    0 |    1    1    1    0    0    0    1    1    1   0 |   1    1   1   0 1
. . x . . |     2 |     *     * 14400     *     * |    0    1    0    0    1    0    0    1    1    0 |    1    0    0    1    1    0    1    1    0   1 |   1    1   0   1 1
. . . x . |     2 |     *     *     * 14400     * |    0    0    1    0    0    1    0    1    0    1 |    0    1    0    1    0    1    1    0    1   1 |   1    0   1   1 1
. . . . x |     2 |     *     *     *     * 14400 |    0    0    0    1    0    0    1    0    1    1 |    0    0    1    0    1    1    0    1    1   1 |   0    1   1   1 1
----------+-------+-------------------------------+---------------------------------------------------+--------------------------------------------------+-------------------
x x . . . |     4 |     2     2     0     0     0 | 7200    *    *    *    *    *    *    *    *    * |    1    1    1    0    0    0    0    0    0   0 |   1    1   1   0 0
x . x . . |     4 |     2     0     2     0     0 |    * 7200    *    *    *    *    *    *    *    * |    1    0    0    1    1    0    0    0    0   0 |   1    1   0   1 0
x . . x . |     4 |     2     0     0     2     0 |    *    * 7200    *    *    *    *    *    *    * |    0    1    0    1    0    1    0    0    0   0 |   1    0   1   1 0
x . . . x |     4 |     2     0     0     0     2 |    *    *    * 7200    *    *    *    *    *    * |    0    0    1    0    1    1    0    0    0   0 |   0    1   1   1 0
. x3x . . |     6 |     0     3     3     0     0 |    *    *    *    * 4800    *    *    *    *    * |    1    0    0    0    0    0    1    1    0   0 |   1    1   0   0 1
. x . x . |     4 |     0     2     0     2     0 |    *    *    *    *    * 7200    *    *    *    * |    0    1    0    0    0    0    1    0    1   0 |   1    0   1   0 1
. x . . x |     4 |     0     2     0     0     2 |    *    *    *    *    *    * 7200    *    *    * |    0    0    1    0    0    0    0    1    1   0 |   0    1   1   0 1
. . x3x . |     6 |     0     0     3     3     0 |    *    *    *    *    *    *    * 4800    *    * |    0    0    0    1    0    0    1    0    0   1 |   1    0   0   1 1
. . x . x |     4 |     0     0     2     0     2 |    *    *    *    *    *    *    *    * 7200    * |    0    0    0    0    1    0    0    1    0   1 |   0    1   0   1 1
. . . x5x |    10 |     0     0     0     5     5 |    *    *    *    *    *    *    *    *    * 2880 |    0    0    0    0    0    1    0    0    1   1 |   0    0   1   1 1
----------+-------+-------------------------------+---------------------------------------------------+--------------------------------------------------+-------------------
x x3x . .     12 |     6     6     6     0     0 |    3    3    0    0    2    0    0    0    0    0 | 2400    *    *    *    *    *    *    *    *   * |   1    1   0   0 0
x x . x .      8 |     4     4     0     4     0 |    2    0    2    0    0    2    0    0    0    0 |    * 3600    *    *    *    *    *    *    *   * |   1    0   1   0 0
x x . . x      8 |     4     4     0     0     4 |    2    0    0    2    0    0    2    0    0    0 |    *    * 3600    *    *    *    *    *    *   * |   0    1   1   0 0
x . x3x .     12 |     6     0     6     6     0 |    0    3    3    0    0    0    0    2    0    0 |    *    *    * 2400    *    *    *    *    *   * |   1    0   0   1 0
x . x . x      8 |     4     0     4     0     4 |    0    2    0    2    0    0    0    0    2    0 |    *    *    *    * 3600    *    *    *    *   * |   0    1   0   1 0
x . . x5x     20 |    10     0     0    10    10 |    0    0    5    5    0    0    0    0    0    2 |    *    *    *    *    * 1440    *    *    *   * |   0    0   1   1 0
. x3x3x .     24 |     0    12    12    12     0 |    0    0    0    0    4    6    0    4    0    0 |    *    *    *    *    *    * 1200    *    *   * |   1    0   0   0 1
. x3x . x     12 |     0     6     6     0     6 |    0    0    0    0    2    0    3    0    3    0 |    *    *    *    *    *    *    * 2400    *   * |   0    1   0   0 1
. x . x5x     20 |     0    10     0    10    10 |    0    0    0    0    0    5    5    0    0    2 |    *    *    *    *    *    *    *    * 1440   * |   0    0   1   0 1
. . x3x5x    120 |     0     0    60    60    60 |    0    0    0    0    0    0    0   20   30   12 |    *    *    *    *    *    *    *    *    * 240 |   0    0   0   1 1
----------+-------+-------------------------------+---------------------------------------------------+--------------------------------------------------+-------------------
x x3x3x .     48 |    24    24    24    24     0 |   12   12   12    0    8   12    0    8    0    0 |    4    6    0    4    0    0    2    0    0   0 | 600    *   *   * *
x x3x . x     24 |    12    12    12     0    12 |    6    6    0    6    4    0    6    0    6    0 |    2    0    3    0    3    0    0    2    0   0 |   * 1200   *   * *
x x . x5x     40 |    20    20     0    20    20 |   10    0   10   10    0   10   10    0    0    4 |    0    5    5    0    0    2    0    0    2   0 |   *    * 720   * *
x . x3x5x    240 |   120     0   120   120   120 |    0   60   60   60    0    0    0   40   60   24 |    0    0    0   20   30   12    0    0    0   2 |   *    *   * 120 *
. x3x3x5x  14400 |     0  7200  7200  7200  7200 |    0    0    0    0 2400 3600 3600 2400 3600 1440 |    0    0    0    0    0    0  600 1200  720 120 |   *    *   *   * 2

xx3xx3xx5xx&#x   → height = 1
(gidpixhi || gidpixhi)

o.3o.3o.5o.    | 14400     * |    1    1    1    1     1    0    0    0    0 |    1    1    1    1    1    1    1    1    1    1    0    0    0    0    0    0 |   1    1   1   1    1    1    1    1    1    1   0    0   0   0 | 1   1    1   1   1 0
.o3.o3.o5.o    |     * 14400 |    0    0    0    0     1    1    1    1    1 |    0    0    0    0    0    0    1    1    1    1    1    1    1    1    1    1 |   0    0   0   0    1    1    1    1    1    1   1    1   1   1 | 0   1    1   1   1 1
---------------+-------------+-----------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------+---------------------
x. .. .. ..    |     2     0 | 7200    *    *    *     *    *    *    *    * |    1    1    1    0    0    0    1    0    0    0    0    0    0    0    0    0 |   1    1   1   0    1    1    1    0    0    0   0    0   0   0 | 1   1    1   1   0 0
.. x. .. ..    |     2     0 |    * 7200    *    *     *    *    *    *    * |    1    0    0    1    1    0    0    1    0    0    0    0    0    0    0    0 |   1    1   0   1    1    0    0    1    1    0   0    0   0   0 | 1   1    1   0   1 0
.. .. x. ..    |     2     0 |    *    * 7200    *     *    *    *    *    * |    0    1    0    1    0    1    0    0    1    0    0    0    0    0    0    0 |   1    0   1   1    0    1    0    1    0    1   0    0   0   0 | 1   1    0   1   1 0
.. .. .. x.    |     2     0 |    *    *    * 7200     *    *    *    *    * |    0    0    1    0    1    1    0    0    0    1    0    0    0    0    0    0 |   0    1   1   1    0    0    1    0    1    1   0    0   0   0 | 1   0    1   1   1 0
oo3oo3oo5oo&#x |     1     1 |    *    *    *    * 14400    *    *    *    * |    0    0    0    0    0    0    1    1    1    1    0    0    0    0    0    0 |   0    0   0   0    1    1    1    1    1    1   0    0   0   0 | 0   1    1   1   1 0
.x .. .. ..    |     0     2 |    *    *    *    *     * 7200    *    *    * |    0    0    0    0    0    0    1    0    0    0    1    1    1    0    0    0 |   0    0   0   0    1    1    1    0    0    0   1    1   1   0 | 0   1    1   1   0 1
.. .x .. ..    |     0     2 |    *    *    *    *     *    * 7200    *    * |    0    0    0    0    0    0    0    1    0    0    1    0    0    1    1    0 |   0    0   0   0    1    0    0    1    1    0   1    1   0   1 | 0   1    1   0   1 1
.. .. .x ..    |     0     2 |    *    *    *    *     *    *    * 7200    * |    0    0    0    0    0    0    0    0    1    0    0    1    0    1    0    1 |   0    0   0   0    0    1    0    1    0    1   1    0   1   1 | 0   1    0   1   1 1
.. .. .. .x    |     0     2 |    *    *    *    *     *    *    *    * 7200 |    0    0    0    0    0    0    0    0    0    1    0    0    1    0    1    1 |   0    0   0   0    0    0    1    0    1    1   0    1   1   1 | 0   0    1   1   1 1
---------------+-------------+-----------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------+---------------------
x.3x. .. ..    |     6     0 |    3    3    0    0     0    0    0    0    0 | 2400    *    *    *    *    *    *    *    *    *    *    *    *    *    *    * |   1    1   0   0    1    0    0    0    0    0   0    0   0   0 | 1   1    1   0   0 0
x. .. x. ..    |     4     0 |    2    0    2    0     0    0    0    0    0 |    * 3600    *    *    *    *    *    *    *    *    *    *    *    *    *    * |   1    0   1   0    0    1    0    0    0    0   0    0   0   0 | 1   1    0   1   0 0
x. .. .. x.    |     4     0 |    2    0    0    2     0    0    0    0    0 |    *    * 3600    *    *    *    *    *    *    *    *    *    *    *    *    * |   0    1   1   0    0    0    1    0    0    0   0    0   0   0 | 1   0    1   1   0 0
.. x.3x. ..    |     6     0 |    0    3    3    0     0    0    0    0    0 |    *    *    * 2400    *    *    *    *    *    *    *    *    *    *    *    * |   1    0   0   1    0    0    0    1    0    0   0    0   0   0 | 1   1    0   0   1 0
.. x. .. x.    |     4     0 |    0    2    0    2     0    0    0    0    0 |    *    *    *    * 3600    *    *    *    *    *    *    *    *    *    *    * |   0    1   0   1    0    0    0    0    1    0   0    0   0   0 | 1   0    1   0   1 0
.. .. x.5x.    |    10     0 |    0    0    5    5     0    0    0    0    0 |    *    *    *    *    * 1440    *    *    *    *    *    *    *    *    *    * |   0    0   1   1    0    0    0    0    0    1   0    0   0   0 | 1   0    0   1   1 0
xx .. .. ..&#x |     2     2 |    1    0    0    0     2    1    0    0    0 |    *    *    *    *    *    * 7200    *    *    *    *    *    *    *    *    * |   0    0   0   0    1    1    1    0    0    0   0    0   0   0 | 0   1    1   1   0 0
.. xx .. ..&#x |     2     2 |    0    1    0    0     2    0    1    0    0 |    *    *    *    *    *    *    * 7200    *    *    *    *    *    *    *    * |   0    0   0   0    1    0    0    1    1    0   0    0   0   0 | 0   1    1   0   1 0
.. .. xx ..&#x |     2     2 |    0    0    1    0     2    0    0    1    0 |    *    *    *    *    *    *    *    * 7200    *    *    *    *    *    *    * |   0    0   0   0    0    1    0    1    0    1   0    0   0   0 | 0   1    0   1   1 0
.. .. .. xx&#x |     2     2 |    0    0    0    1     2    0    0    0    1 |    *    *    *    *    *    *    *    *    * 7200    *    *    *    *    *    * |   0    0   0   0    0    0    1    0    1    1   0    0   0   0 | 0   0    1   1   1 0
.x3.x .. ..    |     0     6 |    0    0    0    0     0    3    3    0    0 |    *    *    *    *    *    *    *    *    *    * 2400    *    *    *    *    * |   0    0   0   0    1    0    0    0    0    0   1    1   0   0 | 0   1    1   0   0 1
.x .. .x ..    |     0     4 |    0    0    0    0     0    2    0    2    0 |    *    *    *    *    *    *    *    *    *    *    * 3600    *    *    *    * |   0    0   0   0    0    1    0    0    0    0   1    0   1   0 | 0   1    0   1   0 1
.x .. .. .x    |     0     4 |    0    0    0    0     0    2    0    0    2 |    *    *    *    *    *    *    *    *    *    *    *    * 3600    *    *    * |   0    0   0   0    0    0    1    0    0    0   0    1   1   0 | 0   0    1   1   0 1
.. .x3.x ..    |     0     6 |    0    0    0    0     0    0    3    3    0 |    *    *    *    *    *    *    *    *    *    *    *    *    * 2400    *    * |   0    0   0   0    0    0    0    1    0    0   1    0   0   1 | 0   1    0   0   1 1
.. .x .. .x    |     0     4 |    0    0    0    0     0    0    2    0    2 |    *    *    *    *    *    *    *    *    *    *    *    *    *    * 3600    * |   0    0   0   0    0    0    0    0    1    0   0    1   0   1 | 0   0    1   0   1 1
.. .. .x5.x    |     0    10 |    0    0    0    0     0    0    0    5    5 |    *    *    *    *    *    *    *    *    *    *    *    *    *    *    * 1440 |   0    0   0   0    0    0    0    0    0    1   0    0   1   1 | 0   0    0   1   1 1
---------------+-------------+-----------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------+---------------------
x.3x.3x. ..        24     0 |   12   12   12    0     0    0    0    0    0 |    4    6    0    4    0    0    0    0    0    0    0    0    0    0    0    0 | 600    *   *   *    *    *    *    *    *    *   *    *   *   * | 1   1    0   0   0 0
x.3x. .. x.        12     0 |    6    6    0    6     0    0    0    0    0 |    2    0    3    0    3    0    0    0    0    0    0    0    0    0    0    0 |   * 1200   *   *    *    *    *    *    *    *   *    *   *   * | 1   0    1   0   0 0
x. .. x.5x.        20     0 |   10    0   10   10     0    0    0    0    0 |    0    5    5    0    0    2    0    0    0    0    0    0    0    0    0    0 |   *    * 720   *    *    *    *    *    *    *   *    *   *   * | 1   0    0   1   0 0
.. x.3x.5x.       120     0 |    0   60   60   60     0    0    0    0    0 |    0    0    0   20   30   12    0    0    0    0    0    0    0    0    0    0 |   *    *   * 120    *    *    *    *    *    *   *    *   *   * | 1   0    0   0   1 0
xx3xx .. ..&#x      6     6 |    3    3    0    0     6    3    3    0    0 |    1    0    0    0    0    0    3    3    0    0    1    0    0    0    0    0 |   *    *   *   * 2400    *    *    *    *    *   *    *   *   * | 0   1    1   0   0 0
xx .. xx ..&#x      4     4 |    2    0    2    0     4    2    0    2    0 |    0    1    0    0    0    0    2    0    2    0    0    1    0    0    0    0 |   *    *   *   *    * 3600    *    *    *    *   *    *   *   * | 0   1    0   1   0 0
xx .. .. xx&#x      4     4 |    2    0    0    2     4    2    0    0    2 |    0    0    1    0    0    0    2    0    0    2    0    0    1    0    0    0 |   *    *   *   *    *    * 3600    *    *    *   *    *   *   * | 0   0    1   1   0 0
.. xx3xx ..&#x      6     6 |    0    3    3    0     6    0    3    3    0 |    0    0    0    1    0    0    0    3    3    0    0    0    0    1    0    0 |   *    *   *   *    *    *    * 2400    *    *   *    *   *   * | 0   1    0   0   1 0
.. xx .. xx&#x      4     4 |    0    2    0    2     4    0    2    0    2 |    0    0    0    0    1    0    0    2    0    2    0    0    0    0    1    0 |   *    *   *   *    *    *    *    * 3600    *   *    *   *   * | 0   0    1   0   1 0
.. .. xx5xx&#x     10    10 |    0    0    5    5    10    0    0    5    5 |    0    0    0    0    0    1    0    0    5    5    0    0    0    0    0    1 |   *    *   *   *    *    *    *    *    * 1440   *    *   *   * | 0   0    0   1   1 0
.x3.x3.x ..         0    24 |    0    0    0    0     0   12   12   12    0 |    0    0    0    0    0    0    0    0    0    0    4    6    0    4    0    0 |   *    *   *   *    *    *    *    *    *    * 600    *   *   * | 0   1    0   0   0 1
.x3.x .. .x         0    12 |    0    0    0    0     0    6    6    0    6 |    0    0    0    0    0    0    0    0    0    0    2    0    3    0    3    0 |   *    *   *   *    *    *    *    *    *    *   * 1200   *   * | 0   0    1   0   0 1
.x .. .x5.x         0    20 |    0    0    0    0     0   10    0   10   10 |    0    0    0    0    0    0    0    0    0    0    0    5    5    0    0    2 |   *    *   *   *    *    *    *    *    *    *   *    * 720   * | 0   0    0   1   0 1
.. .x3.x5.x         0   120 |    0    0    0    0     0    0   60   60   60 |    0    0    0    0    0    0    0    0    0    0    0    0    0   20   30   12 |   *    *   *   *    *    *    *    *    *    *   *    *   * 120 | 0   0    0   0   1 1
---------------+-------------+-----------------------------------------------+---------------------------------------------------------------------------------+-----------------------------------------------------------------+---------------------
x.3x.3x.5x.     14400     0 | 7200 7200 7200 7200     0    0    0    0    0 | 2400 3600 3600 2400 3600 1440    0    0    0    0    0    0    0    0    0    0 | 600 1200 720 120    0    0    0    0    0    0   0    0   0   0 | 1   *    *   *   * *
xx3xx3xx ..&#x     24    24 |   12   12   12    0    24   12   12   12    0 |    4    6    0    4    0    0   12   12   12    0    4    6    0    4    0    0 |   1    0   0   0    4    6    0    4    0    0   1    0   0   0 | * 600    *   *   * *
xx3xx .. xx&#x     12    12 |    6    6    0    6    12    6    6    0    6 |    2    0    3    0    3    0    6    6    0    6    2    0    3    0    3    0 |   0    1   0   0    2    0    3    0    3    0   0    1   0   0 | *   * 1200   *   * *
xx .. xx5xx&#x     20    20 |   10    0   10   10    20   10    0   10   10 |    0    5    5    0    0    2   10    0   10   10    0    5    5    0    0    2 |   0    0   1   0    0    5    5    0    0    2   0    0   1   0 | *   *    * 720   * *
.. xx3xx5xx&#x    120   120 |    0   60   60   60   120    0   60   60   60 |    0    0    0   20   30   12    0   60   60   60    0    0    0   20   30   12 |   0    0   0   1    0    0    0   20   30   12   0    0   0   1 | *   *    *   * 120 *
.x3.x3.x5.x         0 14400 |    0    0    0    0     0 7200 7200 7200 7200 |    0    0    0    0    0    0    0    0    0    0 2400 3600 3600 2400 3600 1440 |   0    0   0   0    0    0    0    0    0    0 600 1200 720 120 | *   *    *   *   * 1

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