Acronym ...
Name isomorph of small rhombihemipenteract
Circumradius sqrt(5/8) = 0.790569
Confer
general polytopal classes:
Wythoffian polytera  

As abstract polytope this Grünbaumian polytope is isomorphic to sirhin, thereby replacing the retrograde by prograde triangles, 2thah by co, resp. 2tho+24{4} by rit and pinnip+5 2thah by srip.


Incidence matrix according to Dynkin symbol

x3/2o3o *b3x3o

.   . .    . . | 160 |   3   6 |   3   6   6   3 |  1  6  3  2  3 |  2  3  1
---------------+-----+---------+-----------------+----------------+---------
x   . .    . . |   2 | 240   * |   2   2   0   0 |  1  4  1  0  0 |  2  2  0
.   . .    x . |   2 |   * 480 |   0   1   2   1 |  0  2  1  1  2 |  1  2  1
---------------+-----+---------+-----------------+----------------+---------
x3/2o .    . . |   3 |   3   0 | 160   *   *   * |  1  2  0  0  0 |  2  1  0
x   . .    x . |   4 |   2   2 |   * 240   *   * |  0  2  1  0  0 |  1  2  0
.   o . *b3x . |   3 |   0   3 |   *   * 320   * |  0  1  0  1  1 |  1  1  1
.   . .    x3o |   3 |   0   3 |   *   *   * 160 |  0  0  1  0  2 |  0  2  1
---------------+-----+---------+-----------------+----------------+---------
x3/2o3o    . .    4 |   6   0 |   4   0   0   0 | 40  *  *  *  * |  2  0  0
x3/2o . *b3x .   12 |  12  12 |   4   6   4   0 |  * 80  *  *  * |  1  1  0
x   . .    x3o    6 |   3   6 |   0   3   0   2 |  *  * 80  *  * |  0  2  0
.   o3o *b3x .    4 |   0   6 |   0   0   4   0 |  *  *  * 80  * |  1  0  1
.   o . *b3x3o    6 |   0  12 |   0   0   4   4 |  *  *  *  * 80 |  0  1  1
---------------+-----+---------+-----------------+----------------+---------
x3/2o3o *b3x .   32 |  48  48 |  32  24  32   0 |  8  8  0  8  0 | 10  *  *
x3/2o . *b3x3o   30 |  30  60 |  10  30  20  20 |  0  5 10  0  5 |  * 16  *
.   o3o *b3x3o   10 |   0  30 |   0   0  20  10 |  0  0  0  5  5 |  *  * 16

x3o3o *b3/2x3o

. . .      . . | 160 |   3   6 |   3   6   6   3 |  1  6  3  2  3 |  2  3  1
---------------+-----+---------+-----------------+----------------+---------
x . .      . . |   2 | 240   * |   2   2   0   0 |  1  4  1  0  0 |  2  2  0
. . .      x . |   2 |   * 480 |   0   1   2   1 |  0  2  1  1  2 |  1  2  1
---------------+-----+---------+-----------------+----------------+---------
x3o .      . . |   3 |   3   0 | 160   *   *   * |  1  2  0  0  0 |  2  1  0
x . .      x . |   4 |   2   2 |   * 240   *   * |  0  2  1  0  0 |  1  2  0
. o . *b3/2x . |   3 |   0   3 |   *   * 320   * |  0  1  0  1  1 |  1  1  1
. . .      x3o |   3 |   0   3 |   *   *   * 160 |  0  0  1  0  2 |  0  2  1
---------------+-----+---------+-----------------+----------------+---------
x3o3o      . .    4 |   6   0 |   4   0   0   0 | 40  *  *  *  * |  2  0  0
x3o . *b3/2x .   12 |  12  12 |   4   6   4   0 |  * 80  *  *  * |  1  1  0
x . .      x3o    6 |   3   6 |   0   3   0   2 |  *  * 80  *  * |  0  2  0
. o3o *b3/2x .    4 |   0   6 |   0   0   4   0 |  *  *  * 80  * |  1  0  1
. o . *b3/2x3o    6 |   0  12 |   0   0   4   4 |  *  *  *  * 80 |  0  1  1
---------------+-----+---------+-----------------+----------------+---------
x3o3o *b3/2x .   32 |  48  48 |  32  24  32   0 |  8  8  0  8  0 | 10  *  *
x3o . *b3/2x3o   30 |  30  60 |  10  30  20  20 |  0  5 10  0  5 |  * 16  *
. o3o *b3/2x3o   10 |   0  30 |   0   0  20  10 |  0  0  0  5  5 |  *  * 16

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