Acronym otcypit
Name omnitruncated cyclopentachoric tetracomb,
great-prismatodecachoric tetracomb,
Voronoi complex of lattice A4*
Confer
related tesselations:
Delone complex of lattice A4  
general polytopal classes:
noble polytopes  
External
links
wikipedia   polytopewiki

Incidence matrix according to Dynkin symbol

x3x3x3x3x3*a   (N → ∞)

. . . . .    | 120N |   1   1   1   1   1 |   1   1   1   1   1   1   1   1   1   1 |  1   1  1   1   1  1  1   1   1  1 | 1 1 1 1 1
-------------+------+---------------------+-----------------------------------------+------------------------------------+----------
x . . . .    |    2 | 60N   *   *   *   * |   1   1   1   1   0   0   0   0   0   0 |  1   1  1   1   1  1  0   0   0  0 | 1 1 1 1 0
. x . . .    |    2 |   * 60N   *   *   * |   1   0   0   0   1   1   1   0   0   0 |  1   1  1   0   0  0  1   1   1  0 | 1 1 1 0 1
. . x . .    |    2 |   *   * 60N   *   * |   0   1   0   0   1   0   0   1   1   0 |  1   0  0   1   1  0  1   1   0  1 | 1 1 0 1 1
. . . x .    |    2 |   *   *   * 60N   * |   0   0   1   0   0   1   0   1   0   1 |  0   1  0   1   0  1  1   0   1  1 | 1 0 1 1 1
. . . . x    |    2 |   *   *   *   * 60N |   0   0   0   1   0   0   1   0   1   1 |  0   0  1   0   1  1  0   1   1  1 | 0 1 1 1 1
-------------+------+---------------------+-----------------------------------------+------------------------------------+----------
x3x . . .    |    6 |   3   3   0   0   0 | 20N   *   *   *   *   *   *   *   *   * |  1   1  1   0   0  0  0   0   0  0 | 1 1 1 0 0
x . x . .    |    4 |   2   0   2   0   0 |   * 30N   *   *   *   *   *   *   *   * |  1   0  0   1   1  0  0   0   0  0 | 1 1 0 1 0
x . . x .    |    4 |   2   0   0   2   0 |   *   * 30N   *   *   *   *   *   *   * |  0   1  0   1   0  1  0   0   0  0 | 1 0 1 1 0
x . . . x3*a |    6 |   3   0   0   0   3 |   *   *   * 20N   *   *   *   *   *   * |  0   0  1   0   1  1  0   0   0  0 | 0 1 1 1 0
. x3x . .    |    6 |   0   3   3   0   0 |   *   *   *   * 20N   *   *   *   *   * |  1   0  0   0   0  0  1   1   0  0 | 1 1 0 0 1
. x . x .    |    4 |   0   2   0   2   0 |   *   *   *   *   * 30N   *   *   *   * |  0   1  0   0   0  0  1   0   1  0 | 1 0 1 0 1
. x . . x    |    4 |   0   2   0   0   2 |   *   *   *   *   *   * 30N   *   *   * |  0   0  1   0   0  0  0   1   1  0 | 0 1 1 0 1
. . x3x .    |    6 |   0   0   3   3   0 |   *   *   *   *   *   *   * 20N   *   * |  0   0  0   1   0  0  1   0   0  1 | 1 0 0 1 1
. . x . x    |    4 |   0   0   2   0   2 |   *   *   *   *   *   *   *   * 30N   * |  0   0  0   0   1  0  0   1   0  1 | 0 1 0 1 1
. . . x3x    |    6 |   0   0   0   3   3 |   *   *   *   *   *   *   *   *   * 20N |  0   0  0   0   0  1  0   0   1  1 | 0 0 1 1 1
-------------+------+---------------------+-----------------------------------------+------------------------------------+----------
x3x3x . .       24 |  12  12  12   0   0 |   4   6   0   0   4   0   0   0   0   0 | 5N   *  *   *   *  *  *   *   *  * | 1 1 0 0 0
x3x . x .       12 |   6   6   0   6   0 |   2   0   3   0   0   3   0   0   0   0 |  * 10N  *   *   *  *  *   *   *  * | 1 0 1 0 0
x3x . . x3*a    24 |  12  12   0   0  12 |   4   0   0   4   0   0   6   0   0   0 |  *   * 5N   *   *  *  *   *   *  * | 0 1 1 0 0
x . x3x .       12 |   6   0   6   6   0 |   0   3   3   0   0   0   0   2   0   0 |  *   *  * 10N   *  *  *   *   *  * | 1 0 0 1 0
x . x . x3*a    12 |   6   0   6   0   6 |   0   3   0   2   0   0   0   0   3   0 |  *   *  *   * 10N  *  *   *   *  * | 0 1 0 1 0
x . . x3x3*a    24 |  12   0   0  12  12 |   0   0   6   4   0   0   0   0   0   4 |  *   *  *   *   * 5N  *   *   *  * | 0 0 1 1 0
. x3x3x .       24 |   0  12  12  12   0 |   0   0   0   0   4   6   0   4   0   0 |  *   *  *   *   *  * 5N   *   *  * | 1 0 0 0 1
. x3x . x       12 |   0   6   6   0   6 |   0   0   0   0   2   0   3   0   3   0 |  *   *  *   *   *  *  * 10N   *  * | 0 1 0 0 1
. x . x3x       12 |   0   6   0   6   6 |   0   0   0   0   0   3   3   0   0   2 |  *   *  *   *   *  *  *   * 10N  * | 0 0 1 0 1
. . x3x3x       24 |   0   0  12  12  12 |   0   0   0   0   0   0   0   4   6   4 |  *   *  *   *   *  *  *   *   * 5N | 0 0 0 1 1
-------------+------+---------------------+-----------------------------------------+------------------------------------+----------
x3x3x3x .      120 |  60  60  60  60   0 |  20  30  30   0  20  30   0  20   0   0 |  5  10  0  10   0  0  5   0   0  0 | N * * * *
x3x3x . x3*a   120 |  60  60  60   0  60 |  20  30   0  20  20   0  30   0  30   0 |  5   0  5   0  10  0  0  10   0  0 | * N * * *
x3x . x3x3*a   120 |  60  60   0  60  60 |  20   0  30  20   0  30  30   0   0  20 |  0  10  5   0   0  5  0   0  10  0 | * * N * *
x . x3x3x3*a   120 |  60   0  60  60  60 |   0  30  30  20   0   0   0  20  30  20 |  0   0  0  10  10  5  0   0   0  5 | * * * N *
. x3x3x3x3     120 |   0  60  60  60  60 |   0   0   0   0  20  30  30  20  30  20 |  0   0  0   0   0  0  5  10  10  5 | * * * * N
or
. . . . .       | 24N |   5 |   5   5 |  5   5 | 5
----------------+-----+-----+---------+--------+--
x . . . .     & |   2 | 60N |   2   2 |  3   3 | 4
----------------+-----+-----+---------+--------+--
x3x . . .     & |   6 |   6 | 20N   * |  2   1 | 3
x . x . .     & |   4 |   4 |   * 30N |  1   2 | 3
----------------+-----+-----+---------+--------+--
x3x3x . .     &   24 |  36 |   8   6 | 5N   * | 2
x3x . x .     &   12 |  18 |   2   6 |  * 10N | 2
----------------+-----+-----+---------+--------+--
x3x3x3x .     &  120 | 240 |  60  90 | 10  20 | N

© 2004-2024
top of page