Acronym pirhin
Name prismatorhombated hemipenteract,
runcicantellated demipenteract,
steriruncic penteract
Circumradius sqrt(37/8) = 2.150581
Confer
general polytopal classes:
partial Stott expansions  
External
links
wikipedia

Incidence matrix according to Dynkin symbol

x3o3o *b3x3x

. . .    . . | 320 |   3   3   1 |   3   3   3   3   3 |  1  3   3  3  1  3 |  1  1  3  1
-------------+-----+-------------+---------------------+--------------------+------------
x . .    . . |   2 | 480   *   * |   2   1   1   0   0 |  1  2   2  1  0  0 |  1  1  2  0
. . .    x . |   2 |   * 480   * |   0   1   0   2   1 |  0  2   0  1  1  2 |  1  0  2  1
. . .    . x |   2 |   *   * 160 |   0   0   3   0   3 |  0  0   3  3  0  3 |  0  1  3  1
-------------+-----+-------------+---------------------+--------------------+------------
x3o .    . . |   3 |   3   0   0 | 320   *   *   *   * |  1  1   1  0  0  0 |  1  1  1  0
x . .    x . |   4 |   2   2   0 |   * 240   *   *   * |  0  2   0  1  0  0 |  1  0  2  0
x . .    . x |   4 |   2   0   2 |   *   * 240   *   * |  0  0   2  1  0  0 |  0  1  2  0
. o . *b3x . |   3 |   0   3   0 |   *   *   * 320   * |  0  1   0  0  1  1 |  1  0  1  1
. . .    x3x |   6 |   0   3   3 |   *   *   *   * 160 |  0  0   0  1  0  2 |  0  0  2  1
-------------+-----+-------------+---------------------+--------------------+------------
x3o3o    . .    4 |   6   0   0 |   4   0   0   0   0 | 80  *   *  *  *  * |  1  1  0  0
x3o . *b3x .   12 |  12  12   0 |   4   6   0   4   0 |  * 80   *  *  *  * |  1  0  1  0
x3o .    . x    6 |   6   0   3 |   2   0   3   0   0 |  *  * 160  *  *  * |  0  1  1  0
x . .    x3x   12 |   6   6   6 |   0   3   3   0   2 |  *  *   * 80  *  * |  0  0  2  0
. o3o *b3x .    4 |   0   6   0 |   0   0   0   4   0 |  *  *   *  * 80  * |  1  0  0  1
. o . *b3x3x   12 |   0  12   6 |   0   0   0   4   4 |  *  *   *  *  * 80 |  0  0  1  1
-------------+-----+-------------+---------------------+--------------------+------------
x3o3o *b3x .   32 |  48  48   0 |  32  24   0  32   0 |  8  8   0  0  8  0 | 10  *  *  *
x3o3o    . x    8 |  12   0   4 |   8   0   6   0   0 |  2  0   4  0  0  0 |  * 40  *  *
x3o . *b3x3x   60 |  60  60  30 |  20  30  30  20  20 |  0  5  10 10  0  5 |  *  * 16  *
. o3o *b3x3x   20 |   0  30  10 |   0   0   0  20  10 |  0  0   0  0  5  5 |  *  *  * 16

x3x3o3o4s

demi( . . . . . ) | 320 |   1   3   3 |   3   3   3   3   3 |  3  1  3  1   3  3 |  1  1  1  3
------------------+-----+-------------+---------------------+--------------------+------------
demi( x . . . . ) |   2 | 160   *   * |   3   0   3   0   0 |  3  0  3  0   3  0 |  1  1  0  3
demi( . x . . . ) |   2 |   * 480   * |   1   2   0   1   0 |  2  1  1  0   0  2 |  1  0  1  2
      . . . o4s   |   2 |   *   * 480 |   0   0   1   1   2 |  0  0  1  1   2  2 |  0  1  1  2
------------------+-----+-------------+---------------------+--------------------+------------
demi( x3x . . . ) |   6 |   3   3   0 | 160   *   *   *   * |  2  0  1  0   0  0 |  1  0  0  2
demi( . x3o . . ) |   3 |   0   3   0 |   * 320   *   *   * |  1  1  0  0   0  1 |  1  0  1  1
      x . 2 o4s   |   4 |   2   0   2 |   *   * 240   *   * |  0  0  1  0   2  0 |  0  1  0  2
      . x 2 o4s   |   4 |   0   2   2 |   *   *   * 240   * |  0  0  1  0   0  2 |  0  0  1  2
sefa( . . o3o4s ) |   3 |   0   0   3 |   *   *   *   * 320 |  0  0  0  1   1  1 |  0  1  1  1
------------------+-----+-------------+---------------------+--------------------+------------
demi( x3x3o . . )   12 |   6  12   0 |   4   4   0   0   0 | 80  *  *  *   *  * |  1  0  0  1
demi( . x3o3o . )    4 |   0   6   0 |   0   4   0   0   0 |  * 80  *  *   *  * |  1  0  1  0
      x3x 2 o4s     12 |   6   6   6 |   2   0   3   3   0 |  *  * 80  *   *  * |  0  0  0  2
      . . o3o4s      4 |   0   0   6 |   0   0   0   0   4 |  *  *  * 80   *  * |  0  1  1  0
sefa( x 2 o3o4s )    6 |   3   0   6 |   0   0   3   0   2 |  *  *  *  * 160  * |  0  1  0  1
sefa( . x3o3o4s )   12 |   0  12  12 |   0   4   0   6   4 |  *  *  *  *   * 80 |  0  0  1  1
------------------+-----+-------------+---------------------+--------------------+------------
demi( x3x3o3o . )   20 |  10  30   0 |  10  20   0   0   0 |  5  5  0  0   0  0 | 16  *  *  *
      x 2 o3o4s      8 |   4   0  12 |   0   0   6   0   8 |  0  0  0  2   4  0 |  * 40  *  *
      . x3o3o4s     32 |   0  48  48 |   0  32   0  24  32 |  0  8  0  8   0  8 |  *  * 10  *
sefa( x3x3o3o4s )   60 |  30  60  60 |  20  20  30  30  20 |  5  0 10  0  10  5 |  *  *  * 16

starting figure: x3x3o3o4x

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