Acronym hinasiphin
Name hin atop siphin,
hin-first cap of sochax
Circumradius sqrt(7)/2 = 1.322876
Face vector 96, 560, 1280, 1320, 588, 84
Confer
uniform relative:
sochax  
general polytopal classes:
segmentopeta   lace simplices  

Incidence matrix according to Dynkin symbol

xx3oo3oo *b3oo3ox&#x   → height = 1/sqrt(2) = 0.707107
(hin || siphin)

o.3o.3o. *b3o.3o.    | 16  * | 10  5   0   0 |  30  30  10   0   0   0 | 10 20  60  30  10  0  0   0  0  0 |  5  5 20 20  30 10  5  0  0  0  0 | 1  5 10  5  1 0
.o3.o3.o *b3.o3.o    |  * 80 |  0  1   6   4 |   0   6   4  12  12   6 |  0  0  12  12   6  4  4  12  6  4 |  0  0  4  4  12  6  4  1  4  4  1 | 0  1  4  4  1 1
---------------------+-------+---------------+-------------------------+-----------------------------------+-----------------------------------+----------------
x. .. ..    .. ..    |  2  0 | 80  *   *   * |   6   3   0   0   0   0 |  3  6  12   3   0  0  0   0  0  0 |  3  2  6  6   6  1  0  0  0  0  0 | 1  3  3  2  0 0
oo3oo3oo *b3oo3oo&#x |  1  1 |  * 80   *   * |   0   6   4   0   0   0 |  0  0  12  12   6  0  0   0  0  0 |  0  0  4  4  12  6  4  0  0  0  0 | 0  1  4  4  1 0
.x .. ..    .. ..    |  0  2 |  *  * 240   * |   0   1   0   4   2   0 |  0  0   4   2   0  2  2   4  1  0 |  0  0  2  2   4  1  0  1  2  2  0 | 0  1  2  2  0 1
.. .. ..    .. .x    |  0  2 |  *  *   * 160 |   0   0   1   0   3   3 |  0  0   0   3   3  0  0   3  3  3 |  0  0  0  0   3  3  3  0  1  3  1 | 0  0  1  3  1 1
---------------------+-------+---------------+-------------------------+-----------------------------------+-----------------------------------+----------------
x.3o. ..    .. ..    |  3  0 |  3  0   0   0 | 160   *   *   *   *   * |  1  2   2   0   0  0  0   0  0  0 |  2  1  2  2   1  0  0  0  0  0  0 | 1  2  1  1  0 0
xx .. ..    .. ..&#x |  2  2 |  1  2   1   0 |   * 240   *   *   *   * |  0  0   4   2   0  0  0   0  0  0 |  0  0  2  2   4  1  0  0  0  0  0 | 0  1  2  2  0 0
.. .. ..    .. ox&#x |  1  2 |  0  2   0   1 |   *   * 160   *   *   * |  0  0   0   3   3  0  0   0  0  0 |  0  0  0  0   3  3  3  0  0  0  0 | 0  0  1  3  1 0
.x3.o ..    .. ..    |  0  3 |  0  0   3   0 |   *   *   * 320   *   * |  0  0   1   0   0  1  1   1  0  0 |  0  0  1  1   1  0  0  1  1  1  0 | 0  1  1  1  0 1
.x .. ..    .. .x    |  0  4 |  0  0   2   2 |   *   *   *   * 240   * |  0  0   0   1   0  0  0   2  1  0 |  0  0  0  0   2  1  0  0  1  2  0 | 0  0  1  2  0 1
.. .. ..    .o3.x    |  0  3 |  0  0   0   3 |   *   *   *   *   * 160 |  0  0   0   0   1  0  0   0  1  2 |  0  0  0  0   0  1  2  0  0  2  1 | 0  0  0  2  1 1
---------------------+-------+---------------+-------------------------+-----------------------------------+-----------------------------------+----------------
x.3o.3o.    .. ..      4  0 |  6  0   0   0 |   4   0   0   0   0   0 | 40  *   *   *   *  *  *   *  *  * |  2  0  2  0   0  0  0  0  0  0  0 | 1  2  1  0  0 0
x.3o. .. *b3o. ..      4  0 |  6  0   0   0 |   4   0   0   0   0   0 |  * 80   *   *   *  *  *   *  *  * |  1  1  0  1   0  0  0  0  0  0  0 | 1  1  0  1  0 0
xx3oo ..    .. ..&#x   3  3 |  3  3   3   0 |   1   3   0   1   0   0 |  *  * 320   *   *  *  *   *  *  * |  0  0  1  1   1  0  0  0  0  0  0 | 0  1  1  1  0 0
xx .. ..    .. ox&#x   2  4 |  1  4   2   2 |   0   2   2   0   1   0 |  *  *   * 240   *  *  *   *  *  * |  0  0  0  0   2  1  0  0  0  0  0 | 0  0  1  2  0 0
.. .. ..    oo3ox&#x   1  3 |  0  3   0   3 |   0   0   3   0   0   1 |  *  *   *   * 160  *  *   *  *  * |  0  0  0  0   0  1  2  0  0  0  0 | 0  0  0  2  1 0
.x3.o3.o    .. ..      0  4 |  0  0   6   0 |   0   0   0   4   0   0 |  *  *   *   *   * 80  *   *  *  * |  0  0  1  0   0  0  0  1  1  0  0 | 0  1  1  0  0 1
.x3.o .. *b3.o ..      0  4 |  0  0   6   0 |   0   0   0   4   0   0 |  *  *   *   *   *  * 80   *  *  * |  0  0  0  1   0  0  0  1  0  1  0 | 0  1  0  1  0 1
.x3.o ..    .. .x      0  6 |  0  0   6   3 |   0   0   0   2   3   0 |  *  *   *   *   *  *  * 160  *  * |  0  0  0  0   1  0  0  0  1  1  0 | 0  0  1  1  0 1
.x .. ..    .o3.x      0  6 |  0  0   3   6 |   0   0   0   0   3   2 |  *  *   *   *   *  *  *   * 80  * |  0  0  0  0   0  1  0  0  0  2  0 | 0  0  0  2  0 1
.. .o .. *b3.o3.x      0  4 |  0  0   0   6 |   0   0   0   0   0   4 |  *  *   *   *   *  *  *   *  * 80 |  0  0  0  0   0  0  1  0  0  1  1 | 0  0  0  1  1 1
---------------------+-------+---------------+-------------------------+-----------------------------------+-----------------------------------+----------------
x.3o.3o. *b3o. ..      8  0 | 24  0   0   0 |  32   0   0   0   0   0 |  8  8   0   0   0  0  0   0  0  0 | 10  *  *  *   *  *  *  *  *  *  * | 1  1  0  0  0 0
x.3o. .. *b3o.3o.      5  0 | 10  0   0   0 |  10   0   0   0   0   0 |  0  5   0   0   0  0  0   0  0  0 |  * 16  *  *   *  *  *  *  *  *  * | 1  0  0  1  0 0
xx3oo3oo    .. ..&#x   4  4 |  6  4   6   0 |   4   6   0   4   0   0 |  1  0   4   0   0  1  0   0  0  0 |  *  * 80  *   *  *  *  *  *  *  * | 0  1  1  0  0 0
xx3oo .. *b3oo ..&#x   4  4 |  6  4   6   0 |   4   6   0   4   0   0 |  0  1   4   0   0  0  1   0  0  0 |  *  *  * 80   *  *  *  *  *  *  * | 0  1  0  1  0 0
xx3oo ..    .. ox&#x   3  6 |  3  6   6   3 |   1   6   3   2   3   0 |  0  0   2   3   0  0  0   1  0  0 |  *  *  *  * 160  *  *  *  *  *  * | 0  0  1  1  0 0
xx .. ..    oo3ox&#x   2  6 |  1  6   3   6 |   0   3   6   0   3   2 |  0  0   0   3   2  0  0   0  1  0 |  *  *  *  *   * 80  *  *  *  *  * | 0  0  0  2  0 0
.. oo .. *b3oo3ox&#x   1  4 |  0  4   0   6 |   0   0   6   0   0   4 |  0  0   0   0   4  0  0   0  0  1 |  *  *  *  *   *  * 80  *  *  *  * | 0  0  0  1  1 0
.x3.o3.o *b3.o ..      0  8 |  0  0  24   0 |   0   0   0  32   0   0 |  0  0   0   0   0  8  8   0  0  0 |  *  *  *  *   *  *  * 10  *  *  * | 0  1  0  0  0 1
.x3.o3.o    .. .x      0  8 |  0  0  12   4 |   0   0   0   8   6   0 |  0  0   0   0   0  2  0   4  0  0 |  *  *  *  *   *  *  *  * 40  *  * | 0  0  1  0  0 1
.x3.o .. *b3.o3.x      0 20 |  0  0  30  30 |   0   0   0  20  30  20 |  0  0   0   0   0  0  5  10 10  5 |  *  *  *  *   *  *  *  *  * 16  * | 0  0  0  1  0 1
.. .o3.o *b3.o3.x      0  5 |  0  0   0  10 |   0   0   0   0   0  10 |  0  0   0   0   0  0  0   0  0  5 |  *  *  *  *   *  *  *  *  *  * 16 | 0  0  0  0  1 1
---------------------+-------+---------------+-------------------------+-----------------------------------+-----------------------------------+----------------
x.3o.3o. *b3o.3o.     16  0 | 80  0   0   0 | 160   0   0   0   0   0 | 40 80   0   0   0  0  0   0  0  0 | 10 16  0  0   0  0  0  0  0  0  0 | 1  *  *  *  * *
xx3oo3oo *b3oo ..&#x   8  8 | 24  8  24   0 |  32  24   0  32   0   0 |  8  8  32   0   0  8  8   0  0  0 |  1  0  8  8   0  0  0  1  0  0  0 | * 10  *  *  * *
xx3oo3oo    .. ox&#x   4  8 |  6  8  12   4 |   4  12   4   8   6   0 |  1  0   8   6   0  2  0   4  0  0 |  0  0  2  0   4  0  0  0  1  0  0 | *  * 40  *  * *
xx3oo .. *b3oo3ox&#x   5 20 | 10 20  30  30 |  10  30  30  20  30  20 |  0  5  20  30  20  0  5  10 10  5 |  0  1  0  5  10 10  5  0  0  1  0 | *  *  * 16  * *
.. oo3oo *b3oo3ox&#x   1  5 |  0  5   0  10 |   0   0  10   0   0  10 |  0  0   0   0  10  0  0   0  0  5 |  0  0  0  0   0  0  5  0  0  0  1 | *  *  *  * 16 *
.x3.o3.o *b3.o3.x      0 80 |  0  0 240 160 |   0   0   0 320 240 160 |  0  0   0   0   0 80 80 160 80 80 |  0  0  0  0   0  0  0 10 40 16 16 | *  *  *  *  * 1

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