Acronym hinasirhin, hin || sirhin
Name (degenerate) hin atop sirhin
Circumradius ∞   i.e. flat in euclidean space
Face vector 176, 960, 1760, 1360, 428, 44
Confer
general polytopal classes:
decomposition  

It either can be thought of as a degenerate 6D segmentotope with zero height, or as a 5D euclidean decomposition of the larger base into smaller bits.


Incidence matrix according to Dynkin symbol

xx3oo3oo *b3ox3oo&#x   → height = 0
(hin || sirhin)

o.3o.3o. *b3o.3o.    | 16   * | 10  10   0   0 |  30  30  30   0   0   0   0 | 10 20  30  30  20  10  0  0  0  0  0 |  5  5 10 20 10  5  5  0  0  0 | 1  5  5  1 0
.o3.o3.o *b3.o3.o    |  * 160 |  0   1   3   6 |   0   3   6   3   6   6   3 |  0  0   3   6   6   3  1  6  3  2  3 |  0  0  1  6  3  2  3  2  3  1 | 0  2  3  1 1
---------------------+--------+----------------+-----------------------------+--------------------------------------+-------------------------------+-------------
x. .. ..    .. ..    |  2   0 | 80   *   *   * |   6   3   0   0   0   0   0 |  3  6   6   3   0   0  0  0  0  0  0 |  3  2  3  6  1  0  0  0  0  0 | 1  3  2  0 0
oo3oo3oo *b3oo3oo&#x |  1   1 |  * 160   *   * |   0   3   6   0   0   0   0 |  0  0   3   6   6   3  0  0  0  0  0 |  0  0  1  6  3  2  3  0  0  0 | 0  2  3  1 0
.x .. ..    .. ..    |  0   2 |  *   * 240   * |   0   1   0   2   1   0   0 |  0  0   2   2   0   0  1  4  1  0  0 |  0  0  1  4  1  0  0  2  2  0 | 0  2  2  0 1
.. .. ..    .x ..    |  0   2 |  *   *   * 480 |   0   0   1   0   1   2   1 |  0  0   0   1   2   1  0  2  1  1  2 |  0  0  0  2  1  1  2  1  2  1 | 0  1  2  1 1
---------------------+--------+----------------+-----------------------------+--------------------------------------+-------------------------------+-------------
x.3o. ..    .. ..    |  3   0 |  3   0   0   0 | 160   *   *   *   *   *   * |  1  2   1   0   0   0  0  0  0  0  0 |  2  1  1  2  0  0  0  0  0  0 | 1  2  1  0 0
xx .. ..    .. ..&#x |  2   2 |  1   2   1   0 |   * 240   *   *   *   *   * |  0  0   2   2   0   0  0  0  0  0  0 |  0  0  1  4  1  0  0  0  0  0 | 0  2  2  0 0
.. .. ..    ox ..&#x |  1   2 |  0   2   0   1 |   *   * 480   *   *   *   * |  0  0   0   1   2   1  0  0  0  0  0 |  0  0  0  2  1  1  2  0  0  0 | 0  1  2  1 0
.x3.o ..    .. ..    |  0   3 |  0   0   3   0 |   *   *   * 160   *   *   * |  0  0   1   0   0   0  1  2  0  0  0 |  0  0  1  2  0  0  0  2  1  0 | 0  2  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  1  2  0 1
.. .o .. *b3.x ..    |  0   3 |  0   0   0   3 |   *   *   *   *   * 320   * |  0  0   0   0   1   0  0  1  0  1  1 |  0  0  0  1  0  1  1  1  1  1 | 0  1  1  1 1
.. .. ..    .x3.o    |  0   3 |  0   0   0   3 |   *   *   *   *   *   * 160 |  0  0   0   0   0   1  0  0  1  0  2 |  0  0  0  0  1  0  2  0  2  1 | 0  0  2  1 1
---------------------+--------+----------------+-----------------------------+--------------------------------------+-------------------------------+-------------
x.3o.3o.    .. ..      4   0 |  6   0   0   0 |   4   0   0   0   0   0   0 | 40  *   *   *   *   *  *  *  *  *  * |  2  0  1  0  0  0  0  0  0  0 | 1  2  0  0 0
x.3o. .. *b3o. ..      4   0 |  6   0   0   0 |   4   0   0   0   0   0   0 |  * 80   *   *   *   *  *  *  *  *  * |  1  1  0  1  0  0  0  0  0  0 | 1  1  1  0 0
xx3oo ..    .. ..&#x   3   3 |  3   3   3   0 |   1   3   0   1   0   0   0 |  *  * 160   *   *   *  *  *  *  *  * |  0  0  1  2  0  0  0  0  0  0 | 0  2  1  0 0
xx .. ..    ox ..&#x   2   4 |  1   4   2   2 |   0   2   2   0   1   0   0 |  *  *   * 240   *   *  *  *  *  *  * |  0  0  0  2  1  0  0  0  0  0 | 0  1  2  0 0
.. oo .. *b3ox ..&#x   1   3 |  0   3   0   3 |   0   0   3   0   0   1   0 |  *  *   *   * 320   *  *  *  *  *  * |  0  0  0  1  0  1  1  0  0  0 | 0  1  1  1 0
.. .. ..    ox3oo&#x   1   3 |  0   3   0   3 |   0   0   3   0   0   0   1 |  *  *   *   *   * 160  *  *  *  *  * |  0  0  0  0  1  0  2  0  0  0 | 0  0  2  1 0
.x3.o3.o    .. ..      0   4 |  0   0   6   0 |   0   0   0   4   0   0   0 |  *  *   *   *   *   * 40  *  *  *  * |  0  0  1  0  0  0  0  2  0  0 | 0  2  0  0 1
.x3.o .. *b3.x ..      0  12 |  0   0  12  12 |   0   0   0   4   6   4   0 |  *  *   *   *   *   *  * 80  *  *  * |  0  0  0  1  0  0  0  1  1  0 | 0  1  1  0 1
.x .. ..    .x3.o      0   6 |  0   0   3   6 |   0   0   0   0   3   0   2 |  *  *   *   *   *   *  *  * 80  *  * |  0  0  0  0  1  0  0  0  2  0 | 0  0  2  0 1
.. .o3.o *b3.x ..      0   4 |  0   0   0   6 |   0   0   0   0   0   4   0 |  *  *   *   *   *   *  *  *  * 80  * |  0  0  0  0  0  1  0  1  0  1 | 0  1  0  1 1
.. .o .. *b3.x3.o      0   6 |  0   0   0  12 |   0   0   0   0   0   4   4 |  *  *   *   *   *   *  *  *  *  * 80 |  0  0  0  0  0  0  1  0  1  1 | 0  0  1  1 1
---------------------+--------+----------------+-----------------------------+--------------------------------------+-------------------------------+-------------
x.3o.3o. *b3o. ..      8   0 | 24   0   0   0 |  32   0   0   0   0   0   0 |  8  8   0   0   0   0  0  0  0  0  0 | 10  *  *  *  *  *  *  *  *  * | 1  1  0  0 0
x.3o. .. *b3o.3o.      5   0 | 10   0   0   0 |  10   0   0   0   0   0   0 |  0  5   0   0   0   0  0  0  0  0  0 |  * 16  *  *  *  *  *  *  *  * | 1  0  1  0 0
xx3oo3oo    .. ..&#x   4   4 |  6   4   6   0 |   4   6   0   4   0   0   0 |  1  0   4   0   0   0  1  0  0  0  0 |  *  * 40  *  *  *  *  *  *  * | 0  2  0  0 0
xx3oo .. *b3ox ..&#x   4  12 |  6  12  12  12 |   4  12  12   4   6   4   0 |  0  1   4   6   4   0  0  1  0  0  0 |  *  *  * 80  *  *  *  *  *  * | 0  1  1  0 0
xx .. ..    ox3oo&#x   2   6 |  1   6   3   6 |   0   3   6   0   3   0   2 |  0  0   0   3   0   2  0  0  1  0  0 |  *  *  *  * 80  *  *  *  *  * | 0  0  2  0 0
.. oo3oo *b3ox ..&#x   1   4 |  0   4   0   6 |   0   0   6   0   0   4   0 |  0  0   0   0   4   0  0  0  0  1  0 |  *  *  *  *  * 80  *  *  *  * | 0  1  0  1 0
.. oo .. *b3ox3oo&#x   1   6 |  0   6   0  12 |   0   0  12   0   0   4   4 |  0  0   0   0   4   4  0  0  0  0  1 |  *  *  *  *  *  * 80  *  *  * | 0  0  1  1 0
.x3.o3.o *b3.x ..      0  32 |  0   0  48  48 |   0   0   0  32  24  32   0 |  0  0   0   0   0   0  8  8  0  8  0 |  *  *  *  *  *  *  * 10  *  * | 0  1  0  0 1
.x3.o .. *b3.x3.o      0  30 |  0   0  30  60 |   0   0   0  10  30  20  20 |  0  0   0   0   0   0  0  5 10  0  5 |  *  *  *  *  *  *  *  * 16  * | 0  0  1  0 1
.. .o3.o *b3.x3.o      0  10 |  0   0   0  30 |   0   0   0   0   0  20  10 |  0  0   0   0   0   0  0  0  0  5  5 |  *  *  *  *  *  *  *  *  * 16 | 0  0  0  1 1
---------------------+--------+----------------+-----------------------------+--------------------------------------+-------------------------------+-------------
x.3o.3o. *b3o.3o.     16   0 | 80   0   0   0 | 160   0   0   0   0   0   0 | 40 80   0   0   0   0  0  0  0  0  0 | 10 16  0  0  0  0  0  0  0  0 | 1  *  *  * *
xx3oo3oo *b3ox ..&#x   8  32 | 24  32  48  48 |  32  48  48  32  24  32   0 |  8  8  32  24  32   0  8  8  0  8  0 |  1  0  8  8  0  8  0  1  0  0 | * 10  *  * *
xx3oo .. *b3ox3oo&#x   5  30 | 10  30  30  60 |  10  30  60  10  30  20  20 |  0  5  10  30  20  20  0  5 10  0  5 |  0  1  0  5 10  0  5  0  1  0 | *  * 16  * *
.. oo3oo *b3ox3oo&#x   1  10 |  0  10   0  30 |   0   0  30   0   0  20  10 |  0  0   0   0  20  10  0  0  0  5  5 |  0  0  0  0  0  5  5  0  0  1 | *  *  * 16 *
.x3.o3.o *b3.x3.o      0 160 |  0   0 240 480 |   0   0   0 160 240 320 160 |  0  0   0   0   0   0 40 80 80 80 80 |  0  0  0  0  0  0  0 10 16 16 | *  *  *  * 1

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