Acronym gocypapit
Name bitruncated pentachoric tetracomb,
great cycloprismated pentachoric tetrachomb,
grand prismatodispentachoric tetracomb
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

x3x3x3x3o3*a

. . . . .    | 60N |   2   1   1   2 |   2   2   2   1   1   2   2   1 |  2   2  1   2   1  1  2   1  1 | 2 1 1 1 1
-------------+-----+-----------------+---------------------------------+--------------------------------+----------
x . . . .    |   2 | 60N   *   *   * |   1   1   1   1   0   0   0   0 |  1   1  1   1   1  1  0   0  0 | 1 1 1 1 0
. x . . .    |   2 |   * 30N   *   * |   2   0   0   0   1   2   0   0 |  2   2  1   0   0  0  2   1  0 | 2 1 1 0 1
. . x . .    |   2 |   *   * 30N   * |   0   2   0   0   1   0   2   0 |  2   0  0   2   1  0  2   0  1 | 2 1 0 1 1
. . . x .    |   2 |   *   *   * 60N |   0   0   1   0   0   1   1   1 |  0   1  0   1   0  1  1   1  1 | 1 0 1 1 1
-------------+-----+-----------------+---------------------------------+--------------------------------+----------
x3x . . .    |   6 |   3   3   0   0 | 20N   *   *   *   *   *   *   * |  1   1  1   0   0  0  0   0  0 | 1 1 1 0 0
x . x . .    |   4 |   2   0   2   0 |   * 30N   *   *   *   *   *   * |  1   0  0   1   1  0  0   0  0 | 1 1 0 1 0
x . . x .    |   4 |   2   0   0   2 |   *   * 30N   *   *   *   *   * |  0   1  0   1   0  1  0   0  0 | 1 0 1 1 0
x . . . o3*a |   3 |   3   0   0   0 |   *   *   * 20N   *   *   *   * |  0   0  1   0   1  1  0   0  0 | 0 1 1 1 0
. x3x . .    |   6 |   0   3   3   0 |   *   *   *   * 10N   *   *   * |  2   0  0   0   0  0  2   0  0 | 2 1 0 0 1
. x . x .    |   4 |   0   2   0   2 |   *   *   *   *   * 30N   *   * |  0   1  0   0   0  0  1   1  0 | 1 0 1 0 1
. . x3x .    |   6 |   0   0   3   3 |   *   *   *   *   *   * 20N   * |  0   0  0   1   0  0  1   0  1 | 1 0 0 1 1
. . . x3o    |   3 |   0   0   0   3 |   *   *   *   *   *   *   * 20N |  0   0  0   0   0  1  0   1  1 | 0 0 1 1 1
-------------+-----+-----------------+---------------------------------+--------------------------------+----------
x3x3x . .      24 |  12  12  12   0 |   4   6   0   0   4   0   0   0 | 5N   *  *   *   *  *  *   *  * | 1 1 0 0 0
x3x . x .      12 |   6   6   0   6 |   2   0   3   0   0   3   0   0 |  * 10N  *   *   *  *  *   *  * | 1 0 1 0 0
x3x . . o3*a   12 |  12   6   0   0 |   4   0   0   4   0   0   0   0 |  *   * 5N   *   *  *  *   *  * | 0 1 1 0 0
x . x3x .      12 |   6   0   6   6 |   0   3   3   0   0   0   2   0 |  *   *  * 10N   *  *  *   *  * | 1 0 0 1 0
x . x . o3*a    6 |   6   0   3   0 |   0   3   0   2   0   0   0   0 |  *   *  *   * 10N  *  *   *  * | 0 1 0 1 0
x . . x3o3*a   12 |  12   0   0  12 |   0   0   6   4   0   0   0   4 |  *   *  *   *   * 5N  *   *  * | 0 0 1 1 0
. x3x3x .      24 |   0  12  12  12 |   0   0   0   0   4   6   4   0 |  *   *  *   *   *  * 5N   *  * | 1 0 0 0 1
. x . x3o       6 |   0   3   0   6 |   0   0   0   0   0   3   0   2 |  *   *  *   *   *  *  * 10N  * | 0 0 1 0 1
. . x3x3o      12 |   0   0   6  12 |   0   0   0   0   0   0   4   4 |  *   *  *   *   *  *  *   * 5N | 0 0 0 1 1
-------------+-----+-----------------+---------------------------------+--------------------------------+----------
x3x3x3x .     120 |  60  60  60  60 |  20  30  30   0  20  30  20   0 |  5  10  0  10   0  0  5   0  0 | N * * * *
x3x3x . o3*a   60 |  60  30  30   0 |  20  30   0  20  10   0   0   0 |  5   0  5   0  10  0  0   0  0 | * N * * *
x3x . x3o3*a   60 |  60  30   0  60 |  20   0  30  20   0  30   0  20 |  0  10  5   0   0  5  0  10  0 | * * N * *
x . x3x3o3*a   60 |  60   0  30  60 |   0  30  30  20   0   0  20  20 |  0   0  0  10  10  5  0   0  5 | * * * N *
. x3x3x3o      60 |   0  30  30  60 |   0   0   0   0  10  30  20  20 |  0   0  0   0   0  0  5  10  5 | * * * * N
or
. . . . .       | 60N |    4   2 |   4   4   2   2   1 |   4   4   2   2  1 | 2  2  2
----------------+-----+----------+---------------------+--------------------+--------
x . . . .     & |   2 | 120N   * |   1   1   1   1   0 |   1   2   1   1  1 | 1  1  2
. x . . .     & |   2 |    * 60N |   2   2   0   0   1 |   4   2   1   1  0 | 2  2  1
----------------+-----+----------+---------------------+--------------------+--------
x3x . . .     & |   6 |    3   3 | 40N   *   *   *   * |   1   1   1   0  0 | 1  1  1
x . x . .     & |   4 |    2   2 |   * 60N   *   *   * |   1   1   0   1  0 | 1  1  1
x . . x .       |   4 |    4   0 |   *   * 30N   *   * |   0   2   0   0  1 | 1  0  2
x . . . o3*a  & |   3 |    3   0 |   *   *   * 40N   * |   0   0   1   1  1 | 0  1  2
. x3x . .       |   6 |    0   6 |   *   *   *   * 10N |   4   0   0   0  0 | 2  2  0
----------------+-----+----------+---------------------+--------------------+--------
x3x3x . .     &   24 |   12  24 |   4   6   0   0   4 | 10N   *   *   *  * | 1  1  0
x3x . x .     &   12 |   12   6 |   2   3   3   0   0 |   * 20N   *   *  * | 1  0  1
x3x . . o3*a  &   12 |   12   6 |   4   0   0   4   0 |   *   * 10N   *  * | 0  1  1
x . x . o3*a  &    6 |    6   3 |   0   3   0   2   0 |   *   *   * 20N  * | 0  1  1
x . . x3o3*a      12 |   24   0 |   0   0   6   8   0 |   *   *   *   * 5N | 0  0  2
----------------+-----+----------+---------------------+--------------------+--------
x3x3x3x .     &  120 |  120 120 |  40  60  30   0  20 |  10  20   0   0  0 | N  *  *
x3x3x . o3*a  &   60 |   60  60 |  20  30   0  20  10 |   5   0   5  10  0 | * 2N  *
x3x . x3o3*a  &   60 |  120  30 |  20  30  30  40   0 |   0  10   5  10  5 | *  * 2N

© 2004-2019
top of page