Acronym pirx
Name prismatorhombated hexateron,
runcicantellated hexateron
Field of sections
 ©
Circumradius sqrt(11/3) = 1.914854
Vertex figure
 ©    ©
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polyteral members:
by cells: deca grip pittip prip triddip tuttip
rapirx 6660200
pirx 60062015
& others)
External
links
hedrondude   wikipedia

Incidence matrix according to Dynkin symbol

x3o3x3x3o

. . . . . | 180 |   2   2   2 |  1  2   4  1   4  1 |  1  2  4  2  2  2 | 2  1  2 1
----------+-----+-------------+---------------------+-------------------+----------
x . . . . |   2 | 180   *   * |  1  1   2  0   0  0 |  1  2  2  1  0  0 | 2  1  1 0
. . x . . |   2 |   * 180   * |  0  1   0  1   2  0 |  1  0  2  0  2  1 | 2  0  1 1
. . . x . |   2 |   *   * 180 |  0  0   2  0   2  1 |  0  1  2  2  1  2 | 1  1  2 1
----------+-----+-------------+---------------------+-------------------+----------
x3o . . . |   3 |   3   0   0 | 60  *   *  *   *  * |  1  2  0  0  0  0 | 2  1  0 0
x . x . . |   4 |   2   2   0 |  * 90   *  *   *  * |  1  0  2  0  0  0 | 2  0  1 0
x . . x . |   4 |   2   0   2 |  *  * 180  *   *  * |  0  1  1  1  0  0 | 1  1  1 0
. o3x . . |   3 |   0   3   0 |  *  *   * 60   *  * |  1  0  0  0  2  0 | 2  0  0 1
. . x3x . |   6 |   0   3   3 |  *  *   *  * 120  * |  0  0  1  0  1  1 | 1  0  1 1
. . . x3o |   3 |   0   0   3 |  *  *   *  *   * 60 |  0  0  0  2  0  2 | 0  1  2 1
----------+-----+-------------+---------------------+-------------------+----------
x3o3x . .   12 |  12  12   0 |  4  6   0  4   0  0 | 15  *  *  *  *  * | 2  0  0 0
x3o . x .    6 |   6   0   3 |  2  0   3  0   0  0 |  * 60  *  *  *  * | 1  1  0 0
x . x3x .   12 |   6   6   6 |  0  3   3  0   2  0 |  *  * 60  *  *  * | 1  0  1 0
x . . x3o    6 |   3   0   6 |  0  0   3  0   0  2 |  *  *  * 60  *  * | 0  1  1 0
. o3x3x .   12 |   0  12   6 |  0  0   0  4   4  0 |  *  *  *  * 30  * | 1  0  0 1
. . x3x3o   12 |   0   6  12 |  0  0   0  0   4  4 |  *  *  *  *  * 30 | 0  0  1 1
----------+-----+-------------+---------------------+-------------------+----------
x3o3x3x .   60 |  60  60  30 | 20 30  30 20  20  0 |  5 10 10  0  5  0 | 6  *  * *
x3o . x3o    9 |   9   0   9 |  3  0   9  0   0  3 |  0  3  0  3  0  0 | * 20  * *
x . x3x3o   24 |  12  12  24 |  0  6  12  0   8  8 |  0  0  4  4  0  2 | *  * 15 *
. o3x3x3o   30 |   0  30  30 |  0  0   0 10  20 10 |  0  0  0  0  5  5 | *  *  * 6

x3o3x3x3/2o

. . . .   . | 180 |   2   2   2 |  1  2   4  1   4  1 |  1  2  4  2  2  2 | 2  1  2 1
------------+-----+-------------+---------------------+-------------------+----------
x . . .   . |   2 | 180   *   * |  1  1   2  0   0  0 |  1  2  2  1  0  0 | 2  1  1 0
. . x .   . |   2 |   * 180   * |  0  1   0  1   2  0 |  1  0  2  0  2  1 | 2  0  1 1
. . . x   . |   2 |   *   * 180 |  0  0   2  0   2  1 |  0  1  2  2  1  2 | 1  1  2 1
------------+-----+-------------+---------------------+-------------------+----------
x3o . .   . |   3 |   3   0   0 | 60  *   *  *   *  * |  1  2  0  0  0  0 | 2  1  0 0
x . x .   . |   4 |   2   2   0 |  * 90   *  *   *  * |  1  0  2  0  0  0 | 2  0  1 0
x . . x   . |   4 |   2   0   2 |  *  * 180  *   *  * |  0  1  1  1  0  0 | 1  1  1 0
. o3x .   . |   3 |   0   3   0 |  *  *   * 60   *  * |  1  0  0  0  2  0 | 2  0  0 1
. . x3x   . |   6 |   0   3   3 |  *  *   *  * 120  * |  0  0  1  0  1  1 | 1  0  1 1
. . . x3/2o |   3 |   0   0   3 |  *  *   *  *   * 60 |  0  0  0  2  0  2 | 0  1  2 1
------------+-----+-------------+---------------------+-------------------+----------
x3o3x .   .   12 |  12  12   0 |  4  6   0  4   0  0 | 15  *  *  *  *  * | 2  0  0 0
x3o . x   .    6 |   6   0   3 |  2  0   3  0   0  0 |  * 60  *  *  *  * | 1  1  0 0
x . x3x   .   12 |   6   6   6 |  0  3   3  0   2  0 |  *  * 60  *  *  * | 1  0  1 0
x . . x3/2o    6 |   3   0   6 |  0  0   3  0   0  2 |  *  *  * 60  *  * | 0  1  1 0
. o3x3x   .   12 |   0  12   6 |  0  0   0  4   4  0 |  *  *  *  * 30  * | 1  0  0 1
. . x3x3/2o   12 |   0   6  12 |  0  0   0  0   4  4 |  *  *  *  *  * 30 | 0  0  1 1
------------+-----+-------------+---------------------+-------------------+----------
x3o3x3x   .   60 |  60  60  30 | 20 30  30 20  20  0 |  5 10 10  0  5  0 | 6  *  * *
x3o . x3/2o    9 |   9   0   9 |  3  0   9  0   0  3 |  0  3  0  3  0  0 | * 20  * *
x . x3x3/2o   24 |  12  12  24 |  0  6  12  0   8  8 |  0  0  4  4  0  2 | *  * 15 *
. o3x3x3/2o   30 |   0  30  30 |  0  0   0 10  20 10 |  0  0  0  0  5  5 | *  *  * 6

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