Acronym xhip
Name hexacosihecatonicosachoron prism,
bitruncated-hecatonicosachoron prism,
bitruncated-hexacosachoron prism
Circumradius sqrt[119+50 sqrt(5)]/2 = 7.596108
Face vector 7200, 18000, 15840, 5760, 722
Confer
general polytopal classes:
Wythoffian polytera   segmentotera  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

x o3x3x5o

. . . . . | 7200 |    1    2    2 |    2    2    1    4    1 |    1    4   1    2   2 |   2  2  1
----------+------+----------------+--------------------------+------------------------+----------
x . . . . |    2 | 3600    *    * |    2    2    0    0    0 |    1    4   1    0   0 |   2  2  0
. . x . . |    2 |    * 7200    * |    1    0    1    2    0 |    1    2   0    2   1 |   2  1  1
. . . x . |    2 |    *    * 7200 |    0    1    0    2    1 |    0    2   1    1   2 |   1  2  1
----------+------+----------------+--------------------------+------------------------+----------
x . x . . |    4 |    2    2    0 | 3600    *    *    *    * |    1    2   0    0   0 |   2  1  0
x . . x . |    4 |    2    0    2 |    * 3600    *    *    * |    0    2   1    0   0 |   1  2  0
. o3x . . |    3 |    0    3    0 |    *    * 2400    *    * |    1    0   0    2   0 |   2  0  1
. . x3x . |    6 |    0    3    3 |    *    *    * 4800    * |    0    1   0    1   1 |   1  1  1
. . . x5o |    5 |    0    0    5 |    *    *    *    * 1440 |    0    0   1    0   2 |   0  2  1
----------+------+----------------+--------------------------+------------------------+----------
x o3x . .     6 |    3    6    0 |    3    0    2    0    0 | 1200    *   *    *   * |   2  0  0
x . x3x .    12 |    6    6    6 |    3    3    0    2    0 |    * 2400   *    *   * |   1  1  0
x . . x5o    10 |    5    0   10 |    0    5    0    0    2 |    *    * 720    *   * |   0  2  0
. o3x3x .    12 |    0   12    6 |    0    0    4    4    0 |    *    *   * 1200   * |   1  0  1
. . x3x5o    60 |    0   30   60 |    0    0    0   20   12 |    *    *   *    * 240 |   0  1  1
----------+------+----------------+--------------------------+------------------------+----------
x o3x3x .    24 |   12   24   12 |   12    6    8    8    0 |    4    4   0    2   0 | 600  *  *
x . x3x5o   120 |   60   60  120 |   30   60    0   40   24 |    0   20  12    0   2 |   * 120 *
. o3x3x5o  3600 |    0 3600 3600 |    0    0 1200 2400  720 |    0    0   0  600 120 |   *   * 2

oo3xx3xx5oo&#x   → height = 1
(xhi || xhi)

o.3o.3o.5o.    | 3600    * |    2    2    1    0    0 |    1    4   1    2    2    0    0   0 |   2   2    1    4   1   0   0 | 1   2   2 0
.o3.o3.o5.o    |    * 3600 |    0    0    1    2    2 |    0    0   0    2    2    1    4   1 |   0   0    1    4   1   2   2 | 0   2   2 1
---------------+-----------+--------------------------+---------------------------------------+-------------------------------+------------
.. x. .. ..    |    2    0 | 3600    *    *    *    * |    1    2   0    1    0    0    0   0 |   2   1    1    2   0   0   0 | 1   2   1 0
.. .. x. ..    |    2    0 |    * 3600    *    *    * |    0    2   1    0    1    0    0   0 |   1   2    0    2   1   0   0 | 1   1   2 0
oo3oo3oo5oo&#x |    1    1 |    *    * 3600    *    * |    0    0   0    2    2    0    0   0 |   0   0    1    4   1   0   0 | 0   2   2 0
.. .x .. ..    |    0    2 |    *    *    * 3600    * |    0    0   0    1    0    1    2   0 |   0   0    1    2   0   2   1 | 0   2   1 1
.. .. .x ..    |    0    2 |    *    *    *    * 3600 |    0    0   0    0    1    0    2   1 |   0   0    0    2   1   1   2 | 0   1   2 1
---------------+-----------+--------------------------+---------------------------------------+-------------------------------+------------
o.3x. .. ..    |    3    0 |    3    0    0    0    0 | 1200    *   *    *    *    *    *   * |   2   0    1    0   0   0   0 | 1   2   0 0
.. x.3x. ..    |    6    0 |    3    3    0    0    0 |    * 2400   *    *    *    *    *   * |   1   1    0    1   0   0   0 | 1   1   1 0
.. .. x.5o.    |    5    0 |    0    5    0    0    0 |    *    * 720    *    *    *    *   * |   0   2    0    0   1   0   0 | 1   0   2 0
.. xx .. ..&#x |    2    2 |    1    0    2    1    0 |    *    *   * 3600    *    *    *   * |   0   0    1    2   0   0   0 | 0   2   1 0
.. .. xx ..&#x |    2    2 |    0    1    2    0    1 |    *    *   *    * 3600    *    *   * |   0   0    0    2   1   0   0 | 0   1   2 0
.o3.x .. ..    |    0    3 |    0    0    0    3    0 |    *    *   *    *    * 1200    *   * |   0   0    1    0   0   2   0 | 0   2   0 1
.. .x3.x ..    |    0    6 |    0    0    0    3    3 |    *    *   *    *    *    * 2400   * |   0   0    0    1   0   1   1 | 0   1   1 1
.. .. .x5.o    |    0    5 |    0    0    0    0    5 |    *    *   *    *    *    *    * 720 |   0   0    0    0   1   0   2 | 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
.. x.3x.5o.       60    0 |   30   60    0    0    0 |    0   20  12    0    0    0    0   0 |   * 120    *    *   *   *   * | 1   0   1 0
oo3xx .. ..&#x     3    3 |    3    0    3    3    0 |    1    0   0    3    0    1    0   0 |   *   * 1200    *   *   *   * | 0   2   0 0
.. xx3xx ..&#x     6    6 |    3    3    6    3    3 |    0    1   0    3    3    0    1   0 |   *   *    * 2400   *   *   * | 0   1   1 0
.. .. xx5oo&#x     5    5 |    0    5    5    0    5 |    0    0   1    0    5    0    0   1 |   *   *    *    * 720   *   * | 0   0   2 0
.o3.x3.x ..        0   12 |    0    0    0   12    6 |    0    0   0    0    0    4    4   0 |   *   *    *    *   * 600   * | 0   1   0 1
.. .x3.x5.o        0   60 |    0    0    0   30   60 |    0    0   0    0    0    0   20  12 |   *   *    *    *   *   * 120 | 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 | 1   *   * *
oo3xx3xx ..&#x    12   12 |   12    6   12   12    6 |    4    4   0   12    6    4    4   0 |   1   0    4    4   0   1   0 | * 600   * *
.. xx3xx5oo&#x    60   60 |   30   60   60   30   60 |    0   20  12   30   60    0   20  12 |   0   1    0   20  12   0   1 | *   * 120 *
.o3.x3.x5.o        0 3600 |    0    0    0 3600 3600 |    0    0   0    0    0 1200 2400 720 |   0   0    0    0   0 600 120 | *   *   * 1

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