Acronym texip
Name truncated-hexacosachoron prism
Circumradius sqrt[(25+9 sqrt(5))/2] = 4.749980
Face vector 2880, 10080, 11520, 5040, 722
Confer
general polytopal classes:
Wythoffian polytera   segmentotera  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

x x3x3o5o

. . . . . | 2880 |    1    1    5 |   1    5    5    5 |    5    5    5   1 |   5   1 1
----------+------+----------------+--------------------+--------------------+----------
x . . . . |    2 | 1440    *    * |   1    5    0    0 |    5    5    0   0 |   5   1 0
. x . . . |    2 |    * 1440    * |   1    0    5    0 |    5    0    5   0 |   5   0 1
. . x . . |    2 |    *    * 7200 |   0    1    1    2 |    1    2    2   1 |   2   1 1
----------+------+----------------+--------------------+--------------------+----------
x x . . . |    4 |    2    2    0 | 720    *    *    * |    5    0    0   0 |   5   0 0
x . x . . |    4 |    2    0    2 |   * 3600    *    * |    1    2    0   0 |   2   1 0
. x3x . . |    6 |    0    3    3 |   *    * 2400    * |    1    0    2   0 |   2   0 1
. . x3o . |    3 |    0    0    3 |   *    *    * 4800 |    0    1    1   1 |   1   1 1
----------+------+----------------+--------------------+--------------------+----------
x x3x . .    12 |    6    6    6 |   3    3    2    0 | 1200    *    *   * |   2   0 0
x . x3o .     6 |    3    0    6 |   0    3    0    2 |    * 2400    *   * |   1   1 0
. x3x3o .    12 |    0    6   12 |   0    0    4    4 |    *    * 1200   * |   1   0 1
. . x3o5o    12 |    0    0   30 |   0    0    0   20 |    *    *    * 240 |   0   1 1
----------+------+----------------+--------------------+--------------------+----------
x x3x3o .    24 |   12   12   24 |   6   12    8    8 |    4    4    2   0 | 600   * *
x . x3o5o    24 |   12    0   60 |   0   30    0   40 |    0   20    0   2 |   * 120 *
. x3x3o5o  1440 |    0  720 3600 |   0    0 1200 2400 |    0    0  600 120 |   *   * 2

xx3xx3oo5oo&#x   → height = 1
(tex || tex)

o.3o.3o.5o.    | 1440    * |   1    5    1   0    0 |    5    5    1   5    0    0 |   5   1    5    5   0   0 | 1   5   1 0
.o3.o3.o5.o    |    * 1440 |   0    0    1   1    5 |    0    0    1   5    5    5 |   0   0    5    5   5   1 | 0   5   1 1
---------------+-----------+------------------------+------------------------------+---------------------------+------------
x. .. .. ..    |    2    0 | 720    *    *   *    * |    5    0    1   0    0    0 |   5   0    5    0   0   0 | 1   5   0 0
.. x. .. ..    |    2    0 |   * 3600    *   *    * |    1    2    0   1    0    0 |   2   1    1    2   0   0 | 1   2   1 0
oo3oo3oo5oo&#x |    1    1 |   *    * 1440   *    * |    0    0    1   5    0    0 |   0   0    5    5   0   0 | 0   5   1 0
.x .. .. ..    |    0    2 |   *    *    * 720    * |    0    0    1   0    5    0 |   0   0    5    0   5   0 | 0   5   0 1
.. .x .. ..    |    0    2 |   *    *    *   * 3600 |    0    0    0   1    1    2 |   0   0    1    2   2   1 | 0   2   1 1
---------------+-----------+------------------------+------------------------------+---------------------------+------------
x.3x. .. ..    |    6    0 |   3    3    0   0    0 | 1200    *   *    *    *    * |   2   0    1    0   0   0 | 1   2   0 0
.. x.3o. ..    |    3    0 |   0    3    0   0    0 |    * 2400   *    *    *    * |   1   1    0    1   0   0 | 1   1   1 0
xx .. .. ..&#x |    2    2 |   1    0    2   1    0 |    *    * 720    *    *    * |   0   0    5    0   0   0 | 0   5   0 0
.. xx .. ..&#x |    2    2 |   0    1    2   0    1 |    *    *   * 3600    *    * |   0   0    1    2   0   0 | 0   2   1 0
.x3.x .. ..    |    0    6 |   0    0    0   3    3 |    *    *   *    * 1200    * |   0   0    1    0   2   0 | 0   2   0 1
.. .x3.o ..    |    0    3 |   0    0    0   0    3 |    *    *   *    *    * 2400 |   0   0    0    1   1   1 | 0   1   1 1
---------------+-----------+------------------------+------------------------------+---------------------------+------------
x.3x.3o. ..       12    0 |   6   12    0   0    0 |    4    4   0    0    0    0 | 600   *    *    *   *   * | 1   1   0 0
.. x.3o.5o.       12    0 |   0   30    0   0    0 |    0   20   0    0    0    0 |   * 120    *    *   *   * | 1   0   1 0
xx3xx .. ..&#x     6    6 |   3    3    6   3    3 |    1    0   3    3    1    0 |   *   * 1200    *   *   * | 0   2   0 0
.. xx3oo ..&#x     3    3 |   0    3    3   0    3 |    0    1   0    3    0    1 |   *   *    * 2400   *   * | 0   1   1 0
.x3.x3.o ..        0   12 |   0    0    0   6   12 |    0    0   0    0    4    4 |   *   *    *    * 600   * | 0   1   0 1
.. .x3.o5.o        0   12 |   0    0    0   0   30 |    0    0   0    0    0   20 |   *   *    *    *   * 120 | 0   0   1 1
---------------+-----------+------------------------+------------------------------+---------------------------+------------
x.3x.3o.5o.     1440    0 | 720 3600    0   0    0 | 1200 2400   0    0    0    0 | 600 120    0    0   0   0 | 1   *   * *
xx3xx3oo ..&#x    12   12 |   6   12   12   6   12 |    4    4   6   12    4    4 |   1   0    4    4   1   0 | * 600   * *
.. xx3oo5oo&#x    12   12 |   0   30   12   0   30 |    0   20   0   30    0   20 |   0   1    0   20   0   1 | *   * 120 *
.x3.x3.o5.o        0 1440 |   0    0    0 720 3600 |    0    0   0    0 1200 2400 |   0   0    0    0 600 120 | *   *   * 1

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