Acronym cograx (old: gocrax, goharx)
Name celligreatorhombated hexateron
(great cellirhombated hexateron,
great hedratorhombated hexateron),
stericanitruncated hexateron
Field of sections
 ©
Circumradius sqrt(65/12) = 2.327373
Vertex figure
 ©    ©
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polyteral members:
by cells: cope gippid grip ohope pittip prip thiddip tope
cograx 15060062015
rocgrax 0661560200
& others)
Face vector 360, 1080, 1140, 480, 62
Confer
related segmentotera:
gripagippid  
general polytopal classes:
Wythoffian polytera   lace simplices  
External
links
hedrondude   wikipedia   polytopewiki

Incidence matrix according to Dynkin symbol

x3x3x3o3x

. . . . . | 360 |   1   1   2   2 |  1   2   2   2   2   1   2   1 |  2  2  1  2  1  1  2  1  1 | 1  2  1  1 1
----------+-----+-----------------+--------------------------------+----------------------------+-------------
x . . . . |   2 | 180   *   *   * |  1   2   2   0   0   0   0   0 |  2  2  1  2  1  0  0  0  0 | 1  2  1  1 0
. x . . . |   2 |   * 180   *   * |  1   0   0   2   2   0   0   0 |  2  2  0  0  0  1  2  1  0 | 1  2  1  0 1
. . x . . |   2 |   *   * 360   * |  0   1   0   1   0   1   1   0 |  1  0  1  1  0  1  1  0  1 | 1  1  0  1 1
. . . . x |   2 |   *   *   * 360 |  0   0   1   0   1   0   1   1 |  0  1  0  1  1  0  1  1  1 | 0  1  1  1 1
----------+-----+-----------------+--------------------------------+----------------------------+-------------
x3x . . . |   6 |   3   3   0   0 | 60   *   *   *   *   *   *   * |  2  2  0  0  0  0  0  0  0 | 1  2  1  0 0
x . x . . |   4 |   2   0   2   0 |  * 180   *   *   *   *   *   * |  1  0  1  1  0  0  0  0  0 | 1  1  0  1 0
x . . . x |   4 |   2   0   0   2 |  *   * 180   *   *   *   *   * |  0  1  0  1  1  0  0  0  0 | 0  1  1  1 0
. x3x . . |   6 |   0   3   3   0 |  *   *   * 120   *   *   *   * |  1  0  0  0  0  1  1  0  0 | 1  1  0  0 1
. x . . x |   4 |   0   2   0   2 |  *   *   *   * 180   *   *   * |  0  1  0  0  0  0  1  1  0 | 0  1  1  0 1
. . x3o . |   3 |   0   0   3   0 |  *   *   *   *   * 120   *   * |  0  0  1  0  0  1  0  0  1 | 1  0  0  1 1
. . x . x |   4 |   0   0   2   2 |  *   *   *   *   *   * 180   * |  0  0  0  1  0  0  1  0  1 | 0  1  0  1 1
. . . o3x |   3 |   0   0   0   3 |  *   *   *   *   *   *   * 120 |  0  0  0  0  1  0  0  1  1 | 0  0  1  1 1
----------+-----+-----------------+--------------------------------+----------------------------+-------------
x3x3x . .   24 |  12  12  12   0 |  4   6   0   4   0   0   0   0 | 30  *  *  *  *  *  *  *  * | 1  1  0  0 0
x3x . . x   12 |   6   6   0   6 |  2   0   3   0   3   0   0   0 |  * 60  *  *  *  *  *  *  * | 0  1  1  0 0
x . x3o .    6 |   3   0   6   0 |  0   3   0   0   0   2   0   0 |  *  * 60  *  *  *  *  *  * | 1  0  0  1 0
x . x . x    8 |   4   0   4   4 |  0   2   2   0   0   0   2   0 |  *  *  * 90  *  *  *  *  * | 0  1  0  1 0
x . . o3x    6 |   3   0   0   6 |  0   0   3   0   0   0   0   2 |  *  *  *  * 60  *  *  *  * | 0  0  1  1 0
. x3x3o .   12 |   0   6  12   0 |  0   0   0   4   0   4   0   0 |  *  *  *  *  * 30  *  *  * | 1  0  0  0 1
. x3x . x   12 |   0   6   6   6 |  0   0   0   2   3   0   3   0 |  *  *  *  *  *  * 60  *  * | 0  1  0  0 1
. x . o3x    6 |   0   3   0   6 |  0   0   0   0   3   0   0   2 |  *  *  *  *  *  *  * 60  * | 0  0  1  0 1
. . x3o3x   12 |   0   0  12  12 |  0   0   0   0   0   4   6   4 |  *  *  *  *  *  *  *  * 30 | 0  0  0  1 1
----------+-----+-----------------+--------------------------------+----------------------------+-------------
x3x3x3o .   60 |  30  30  60   0 | 10  30   0  20   0  20   0   0 |  5  0 10  0  0  5  0  0  0 | 6  *  *  * *
x3x3x . x   48 |  24  24  24  24 |  8  12  12   8  12   0  12   0 |  2  4  0  6  0  0  4  0  0 | * 15  *  * *
x3x . o3x   18 |   9   9   0  18 |  3   0   9   0   9   0   0   6 |  0  3  0  0  3  0  0  3  0 | *  * 20  * *
x . x3o3x   24 |  12   0  24  24 |  0  12  12   0   0   8  12   8 |  0  0  4  6  4  0  0  0  2 | *  *  * 15 *
. x3x3o3x   60 |   0  30  60  60 |  0   0   0  20  30  20  30  20 |  0  0  0  0  0  5 10 10  5 | *  *  *  * 6

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