Acronym gotaf
Name great terated tetradecapeton,
omnitruncated heptapeton,
Voronoi cell of lattice A6*
Circumradius sqrt(14) = 3.741657
External
links
wikipedia

Incidence matrix according to Dynkin symbol

x3x3x3x3x3x

. . . . . .    | 5040 |    2    2    2 |    2    2    2    2    1    2    2    1   1 |   2   2   2   2   2    2    2   2   2   2 |  2   2   2   2   2   1   2   1  1 |  2  2  2
---------------+------+----------------+---------------------------------------------+-------------------------------------------+-----------------------------------+---------
x . . . . .  & |    2 | 5040    *    * |    1    1    1    1    1    0    0    0   0 |   1   1   1   2   1    1    2   1   0   0 |  1   1   2   1   2   1   1   1  0 |  1  2  2
. x . . . .  & |    2 |    * 5040    * |    1    0    0    1    0    1    1    1   0 |   1   1   2   1   0    1    0   1   1   2 |  1   2   1   2   1   1   1   0  1 |  2  1  2
. . x . . .  & |    2 |    *    * 5040 |    0    1    1    0    0    1    1    0   1 |   1   1   0   0   2    1    1   1   2   1 |  2   1   1   1   1   0   2   1  1 |  2  2  1
---------------+------+----------------+---------------------------------------------+-------------------------------------------+-----------------------------------+---------
x3x . . . .  & |    6 |    3    3    0 | 1680    *    *    *    *    *    *    *   * |   1   1   1   1   0    0    0   0   0   0 |  1   1   1   1   1   1   0   0  0 |  1  1  2
x . x . . .  & |    4 |    2    0    2 |    * 2520    *    *    *    *    *    *   * |   1   0   0   0   1    1    1   0   0   0 |  1   1   1   0   1   0   1   1  0 |  1  2  1
x . . x . .  & |    4 |    2    0    2 |    *    * 2520    *    *    *    *    *   * |   0   1   0   0   1    0    1   1   0   0 |  1   0   1   1   1   0   1   1  0 |  1  2  1
x . . . x .  & |    4 |    2    2    0 |    *    *    * 2520    *    *    *    *   * |   0   0   1   1   0    1    0   1   0   0 |  0   1   1   1   1   1   1   0  0 |  1  1  2
x . . . . x    |    4 |    4    0    0 |    *    *    *    * 1260    *    *    *   * |   0   0   0   2   0    0    2   0   0   0 |  0   0   2   0   2   1   0   1  0 |  0  2  2
. x3x . . .  & |    6 |    0    3    3 |    *    *    *    *    * 1680    *    *   * |   1   0   0   0   0    0    0   1   1   1 |  1   1   1   1   0   0   1   0  1 |  2  1  1
. x . x . .  & |    4 |    0    2    2 |    *    *    *    *    *    * 2520    *   * |   0   1   0   0   0    1    0   0   1   1 |  1   1   0   1   1   0   1   0  1 |  2  1  1
. x . . x .    |    4 |    0    4    0 |    *    *    *    *    *    *    * 1260   * |   0   0   2   0   0    0    0   0   0   2 |  0   2   0   2   0   1   0   0  1 |  2  0  2
. . x3x . .    |    6 |    0    0    6 |    *    *    *    *    *    *    *    * 840 |   0   0   0   0   2    0    0   0   2   0 |  2   0   0   0   0   0   2   1  1 |  2  2  0
---------------+------+----------------+---------------------------------------------+-------------------------------------------+-----------------------------------+---------
x3x3x . . .  &    24 |   12   12   12 |    4    6    0    0    0    4    0    0   0 | 420   *   *   *   *    *    *   *   *   * |  1   1   1   0   0   0   0   0  0 |  1  1  1
x3x . x . .  &    12 |    6    6    6 |    2    0    3    0    0    0    3    0   0 |   * 840   *   *   *    *    *   *   *   * |  1   0   0   1   1   0   0   0  0 |  1  1  1
x3x . . x .  &    12 |    6   12    0 |    2    0    0    3    0    0    0    3   0 |   *   * 840   *   *    *    *   *   *   * |  0   1   0   1   0   1   0   0  0 |  1  0  2
x3x . . . x  &    12 |   12    6    0 |    2    0    0    3    3    0    0    0   0 |   *   *   * 840   *    *    *   *   *   * |  0   0   1   0   1   1   0   0  0 |  0  1  2
x . x3x . .  &    12 |    6    0   12 |    0    3    3    0    0    0    0    0   2 |   *   *   *   * 840    *    *   *   *   * |  1   0   0   0   0   0   1   1  0 |  1  2  0
x . x . x .  &     8 |    4    4    4 |    0    2    0    2    0    0    2    0   0 |   *   *   *   *   * 1260    *   *   *   * |  0   1   0   0   1   0   1   0  0 |  1  1  1
x . x . . x  &     8 |    8    0    4 |    0    2    2    0    2    0    0    0   0 |   *   *   *   *   *    * 1260   *   *   * |  0   0   1   0   1   0   0   1  0 |  0  2  1
x . . x3x .  &    12 |    6    6    6 |    0    0    3    3    0    2    0    0   0 |   *   *   *   *   *    *    * 840   *   * |  0   0   1   1   0   0   1   0  0 |  1  1  1
. x3x3x . .  &    24 |    0   12   24 |    0    0    0    0    0    4    6    0   4 |   *   *   *   *   *    *    *   * 420   * |  1   0   0   0   0   0   1   0  1 |  2  1  0
. x3x . x .  &    12 |    0   12    6 |    0    0    0    0    0    2    3    3   0 |   *   *   *   *   *    *    *   *   * 840 |  0   1   0   1   0   0   0   0  1 |  2  0  1
---------------+------+----------------+---------------------------------------------+-------------------------------------------+-----------------------------------+---------
x3x3x3x . .  &   120 |   60   60  120 |   20   30   30    0    0   20   30    0  20 |   5  10   0   0  10    0    0   0   5   0 | 84   *   *   *   *   *   *   *  * |  1  1  0
x3x3x . x .  &    48 |   24   48   24 |    8   12    0   12    0    8   12   12   0 |   2   0   4   0   0    6    0   0   0   4 |  * 210   *   *   *   *   *   *  * |  1  0  1
x3x3x . . x  &    48 |   48   24   24 |    8   12   12   12   12    8    0    0   0 |   2   0   0   4   0    0    6   4   0   0 |  *   * 210   *   *   *   *   *  * |  0  1  1
x3x . x3x .  &    36 |   18   36   18 |    6    0    9    9    0    6    9    9   0 |   0   3   3   0   0    0    0   3   0   3 |  *   *   * 280   *   *   *   *  * |  1  0  1
x3x . x . x  &    24 |   24   12   12 |    4    6    6    6    6    0    6    0   0 |   0   2   0   2   0    3    3   0   0   0 |  *   *   *   * 420   *   *   *  * |  0  1  1
x3x . . x3x       36 |   36   36    0 |   12    0    0   18    9    0    0    9   0 |   0   0   6   6   0    0    0   0   0   0 |  *   *   *   *   * 140   *   *  * |  0  0  2
x . x3x3x .  &    48 |   24   24   48 |    0   12   12   12    0    8   12    0   8 |   0   0   0   0   4    6    0   4   2   0 |  *   *   *   *   *   * 210   *  * |  1  1  0
x . x3x . x       24 |   24    0   24 |    0   12   12    0    6    0    0    0   4 |   0   0   0   0   4    0    6   0   0   0 |  *   *   *   *   *   *   * 210  * |  0  2  0
. x3x3x3x .      120 |    0  120  120 |    0    0    0    0    0   40   60   30  20 |   0   0   0   0   0    0    0   0  10  20 |  *   *   *   *   *   *   *   * 42 |  2  0  0
---------------+------+----------------+---------------------------------------------+-------------------------------------------+-----------------------------------+---------
x3x3x3x3x .  &   720 |  360  720  720 |  120  180  180  180    0  240  360  180 120 |  30  60  60   0  60   90    0  60  60 120 |  6  15   0  20   0   0  15   0  6 | 14  *  *
x3x3x3x . x  &   240 |  240  120  240 |   40  120  120   60   60   40   60    0  40 |  10  20   0  20  40   30   60  20  10   0 |  2   0   5   0  10   0   5  10  0 |  * 42  *
x3x3x . x3x  &   144 |  144  144   72 |   48   36   36   72   36   24   36   36   0 |   6  12  24  24   0   18   18  12   0  12 |  0   3   3   4   6   4   0   0  0 |  *  * 70

© 2004-2019
top of page