Acronym titam (old: cacram, totam, tomak, katom)
Name tritruncated pentacontitetrapeton,
(centrocellirhombated pentacontitetrapeton,
trunkated pentacontitetraheptacontidipeton,
heptacontiditruncated pentacontitetrapeton)
Circumradius sqrt(14) = 3.741657
Face vector 8640, 34560, 47520, 28080, 7038, 558
Confer
general polytopal classes:
Wythoffian polypeta   lace simplices  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

x3x3o3x3x *c3o

. . . . .    .    | 8640 |    2     6 |    6     6    1     6    3 |    6    6    6    6    3    2 |   6    6   2   3    2   1 |  3  2   2
------------------+------+------------+----------------------------+-------------------------------+---------------------------+----------
x . . . .    .  & |    2 | 8640     * |    3     3    1     0    0 |    3    3    6    3    0    0 |   3    6   1   3    1   0 |  3  1   2
. x . . .    .  & |    2 |    * 25920 |    1     1    0     2    1 |    2    2    1    2    2    1 |   4    2   1   1    1   1 |  2  2   1
------------------+------+------------+----------------------------+-------------------------------+---------------------------+----------
x3x . . .    .  & |    6 |    3     3 | 8640     *    *     *    * |    2    1    1    0    0    0 |   2    2   1   1    0   0 |  2  1   1
x . . x .    .  & |    4 |    2     2 |    * 12960    *     *    * |    0    1    1    2    0    0 |   2    2   0   1    1   0 |  2  1   1
x . . . x    .    |    4 |    4     0 |    *     * 2160     *    * |    0    0    6    0    0    0 |   0    6   0   3    0   0 |  3  0   2
. x3o . .    .  & |    3 |    0     3 |    *     *    * 17280    * |    1    0    0    1    1    1 |   2    1   1   0    1   1 |  1  2   1
. x . x .    .    |    4 |    0     4 |    *     *    *     * 6480 |    0    2    0    0    2    0 |   4    0   0   1    0   1 |  2  2   0
------------------+------+------------+----------------------------+-------------------------------+---------------------------+----------
x3x3o . .    .  &    12 |    6    12 |    4     0    0     4    0 | 4320    *    *    *    *    * |   1    1   1   0    0   0 |  1  1   1
x3x . x .    .  &    12 |    6    12 |    2     3    0     0    3 |    * 4320    *    *    *    * |   2    0   0   1    0   0 |  2  1   0
x3x . . x    .  &    12 |   12     6 |    2     3    3     0    0 |    *    * 4320    *    *    * |   0    2   0   1    0   0 |  2  0   1
x . o3x .    .  &     6 |    3     6 |    0     3    0     2    0 |    *    *    * 8640    *    * |   1    1   0   0    1   0 |  1  1   1
. x3o3x .    .       12 |    0    24 |    0     0    0     8    6 |    *    *    *    * 2160    * |   2    0   0   0    0   1 |  1  2   0
. x3o . . *c3o  &     4 |    0     6 |    0     0    0     4    0 |    *    *    *    *    * 4320 |   0    0   1   0    1   1 |  0  2   1
------------------+------+------------+----------------------------+-------------------------------+---------------------------+----------
x3x3o3x .    .  &    60 |   30   120 |   20    30    0    40   30 |    5   10    0   10    5    0 | 864    *   *   *    *   * |  1  1   0
x3x3o . x    .  &    24 |   24    24 |    8    12    6     8    0 |    2    0    4    4    0    0 |   * 2160   *   *    *   * |  1  0   1
x3x3o . . *c3o  &    20 |   10    30 |   10     0    0    20    0 |    5    0    0    0    0    5 |   *    * 864   *    *   * |  0  1   1
x3x . x3x    .       36 |   36    36 |   12    18    9     0    9 |    0    6    6    0    0    0 |   *    *   * 720    *   * |  2  0   0
x . o3x . *c3o  &     8 |    4    12 |    0     6    0     8    0 |    0    0    0    4    0    2 |   *    *   *   * 2160   * |  0  1   1
. x3o3x . *c3o       32 |    0    96 |    0     0    0    64   24 |    0    0    0    0    8   16 |   *    *   *   *    * 270 |  0  2   0
------------------+------+------------+----------------------------+-------------------------------+---------------------------+----------
x3x3o3x3x    .      360 |  360   720 |  240   360   90   240  180 |   60  120  120  120   30    0 |  12   30   0  20    0   0 | 72  *   *
x3x3o3x . *c3o  &   320 |  160   960 |  160   240    0   640  240 |   80   80    0  160   80  160 |  16    0  16   0   40  10 |  * 54   *
x3x3o . x *c3o  &    40 |   40    60 |   20    30   10    40    0 |   10    0   10   20    0   10 |   0    5   2   0    5   0 |  *  * 432

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