Acronym siphinnip
Name small-prismated-hemipenteractic prism
Circumradius sqrt(15/8) = 1.369306
Volume 467 sqrt(2)/120 = 5.503648
Face vector 160, 880, 1840, 1680, 644, 84
Confer
general polytopal classes:
Wythoffian polypeta   segmentopeta   lace simplices  

Incidence matrix according to Dynkin symbol

x x3o3o *c3o3x

. . . .    . . | 160 |  1   6   4 |   6   4  12  12   6 |  12  12   6   4   4  12   6   4 |  4  4  12  6  4  1  4  4  1 |  1  4  4  1 1
---------------+-----+------------+---------------------+---------------------------------+-----------------------------+--------------
x . . .    . . |   2 | 80   *   * |   6   4   0   0   0 |  12  12   6   0   0   0   0   0 |  4  4  12  6  4  0  0  0  0 |  1  4  4  1 0
. x . .    . . |   2 |  * 480   * |   1   0   4   2   0 |   4   2   0   2   2   4   1   0 |  2  2   4  1  0  1  2  2  0 |  1  2  2  0 1
. . . .    . x |   2 |  *   * 320 |   0   1   0   3   3 |   0   3   3   0   0   3   3   3 |  0  0   3  3  3  0  1  3  1 |  0  1  3  1 1
---------------+-----+------------+---------------------+---------------------------------+-----------------------------+--------------
x x . .    . . |   4 |  2   2   0 | 240   *   *   *   * |   4   2   0   0   0   0   0   0 |  2  2   4  1  0  0  0  0  0 |  1  2  2  0 0
x . . .    . x |   4 |  2   0   2 |   * 160   *   *   * |   0   3   3   0   0   0   0   0 |  0  0   3  3  3  0  0  0  0 |  0  1  3  1 0
. x3o .    . . |   3 |  0   3   0 |   *   * 640   *   * |   1   0   0   1   1   1   0   0 |  1  1   1  0  0  1  1  1  0 |  1  1  1  0 1
. x . .    . x |   4 |  0   2   2 |   *   *   * 480   * |   0   1   0   0   0   2   1   0 |  0  0   2  1  0  0  1  2  0 |  0  1  2  0 1
. . . .    o3x |   3 |  0   0   3 |   *   *   *   * 320 |   0   0   1   0   0   0   1   2 |  0  0   0  1  2  0  0  2  1 |  0  0  2  1 1
---------------+-----+------------+---------------------+---------------------------------+-----------------------------+--------------
x x3o .    . .    6 |  3   6   0 |   3   0   2   0   0 | 320   *   *   *   *   *   *   * |  1  1   1  0  0  0  0  0  0 |  1  1  1  0 0
x x . .    . x    8 |  4   4   4 |   2   2   0   2   0 |   * 240   *   *   *   *   *   * |  0  0   2  1  0  0  0  0  0 |  0  1  2  0 0
x . . .    o3x    6 |  3   0   6 |   0   3   0   0   2 |   *   * 160   *   *   *   *   * |  0  0   0  1  2  0  0  0  0 |  0  0  2  1 0
. x3o3o    . .    4 |  0   6   0 |   0   0   4   0   0 |   *   *   * 160   *   *   *   * |  1  0   0  0  0  1  1  0  0 |  1  1  0  0 1
. x3o . *c3o .    4 |  0   6   0 |   0   0   4   0   0 |   *   *   *   * 160   *   *   * |  0  1   0  0  0  1  0  1  0 |  1  0  1  0 1
. x3o .    . x    6 |  0   6   3 |   0   0   2   3   0 |   *   *   *   *   * 320   *   * |  0  0   1  0  0  0  1  1  0 |  0  1  1  0 1
. x . .    o3x    6 |  0   3   6 |   0   0   0   3   2 |   *   *   *   *   *   * 160   * |  0  0   0  1  0  0  0  2  0 |  0  0  2  0 1
. . o . *c3o3x    4 |  0   0   6 |   0   0   0   0   4 |   *   *   *   *   *   *   * 160 |  0  0   0  0  1  0  0  1  1 |  0  0  1  1 1
---------------+-----+------------+---------------------+---------------------------------+-----------------------------+--------------
x x3o3o    . .    8 |  4  12   0 |   6   0   8   0   0 |   4   0   0   2   0   0   0   0 | 80  *   *  *  *  *  *  *  * |  1  1  0  0 0
x x3o . *c3o .    8 |  4  12   0 |   6   0   8   0   0 |   4   0   0   0   2   0   0   0 |  * 80   *  *  *  *  *  *  * |  1  0  1  0 0
x x3o .    . x   12 |  6  12   6 |   6   3   4   6   0 |   2   3   0   0   0   2   0   0 |  *  * 160  *  *  *  *  *  * |  0  1  1  0 0
x x . .    o3x   12 |  6   6  12 |   3   6   0   6   4 |   0   3   2   0   0   0   2   0 |  *  *   * 80  *  *  *  *  * |  0  0  2  0 0
x . o . *c3o3x    8 |  4   0  12 |   0   6   0   0   8 |   0   0   4   0   0   0   0   2 |  *  *   *  * 80  *  *  *  * |  0  0  1  1 0
. x3o3o *c3o .    8 |  0  24   0 |   0   0  32   0   0 |   0   0   0   8   8   0   0   0 |  *  *   *  *  * 20  *  *  * |  1  0  0  0 1
. x3o3o    . x    8 |  0  12   4 |   0   0   8   6   0 |   0   0   0   2   0   4   0   0 |  *  *   *  *  *  * 80  *  * |  0  1  0  0 1
. x3o . *c3o3x   20 |  0  30  30 |   0   0  20  30  20 |   0   0   0   0   5  10  10   5 |  *  *   *  *  *  *  * 32  * |  0  0  1  0 1
. . o3o *c3o3x    5 |  0   0  10 |   0   0   0   0  10 |   0   0   0   0   0   0   0   5 |  *  *   *  *  *  *  *  * 32 |  0  0  0  1 1
---------------+-----+------------+---------------------+---------------------------------+-----------------------------+--------------
x x3o3o *c3o .   16 |  8  48   0 |  24   0  64   0   0 |  32   0   0  16  16   0   0   0 |  8  8   0  0  0  2  0  0  0 | 10  *  *  * *
x x3o3o    . x   16 |  8  24   8 |  12   4  16  12   0 |   8   6   0   4   0   8   0   0 |  2  0   4  0  0  0  2  0  0 |  * 40  *  * *
x x3o . *c3o3x   40 | 20  60  60 |  30  30  40  60  40 |  20  30  20   0  10  20  20  10 |  0  5  10 10  5  0  0  2  0 |  *  * 16  * *
x . o3o *c3o3x   10 |  5   0  20 |   0  10   0   0  20 |   0   0  10   0   0   0   0  10 |  0  0   0  0  5  0  0  0  2 |  *  *  * 16 *
. x3o3o *c3o3x   80 |  0 240 160 |   0   0 320 240 160 |   0   0   0  80  80 160  80  80 |  0  0   0  0  0 10 40 16 16 |  *  *  *  * 2

xx3oo3oo *b3oo3xx&#x   → height = 1

...

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