Acronym sirhinathin
Name small rhombated hemipenteract atop truncated hemipenteract,
small rhombated hemipenteract-first cap of small rhombated hemihexeract
Circumradius sqrt(15)/2 = 1.936492
Lace city
in approx. ASCII-art
r   t   T   R		-- x3o3o *b3x3o (sirhin)
             
t   u   U   T		-- x3x3o *b3o3o (thin)

where:
r = x3o3o *b3x (rit)
R = o3o3x *b3x (gyro rit)
t = x3x3o *b3o (thex)
T = o3x3o *b3x (gyro thex)
u = u3o3o *b3x ((u,x)-rit)
U = x3o3o *b3u ((x,u)-rit)
Face vector 320, 1760, 2720, 1680, 444, 44
Confer
uniform relative:
sirhax  
general polytopal classes:
segmentopeta   lace simplices  

Incidence matrix according to Dynkin symbol

xx3ox3oo *b3xo3oo&#x   → height = 1/sqrt(2) = 0.707107
(sirhin || thin)

o.3o.3o. *b3o.3o.    | 160   * |   3   6   3  0   0 |   3   6   6   3   3   3   6   0   0   0 |  1  6  3  2  3   3   6   1   6   3  0  0  0  0 |  2  3  1  1  6  3  2  3  0  0  0 | 1  2  3  1 0
.o3.o3.o *b3.o3.o    |   * 160 |   0   0   3  1   6 |   0   0   0   0   3   6   3   6   3   6 |  0  0  0  0  0   6   3   3   6   1  3  6  3  2 |  0  0  0  3  6  1  3  2  3  2  1 | 0  3  2  1 1
---------------------+---------+--------------------+-----------------------------------------+------------------------------------------------+----------------------------------+-------------
x. .. ..    .. ..    |   2   0 | 240   *   *  *   * |   2   2   0   0   1   0   0   0   0   0 |  1  4  1  0  0   2   2   0   0   0  0  0  0  0 |  2  2  0  1  4  1  0  0  0  0  0 | 1  2  2  0 0
.. .. ..    x. ..    |   2   0 |   * 480   *  *   * |   0   1   2   1   0   0   1   0   0   0 |  0  2  1  1  2   0   1   0   2   1  0  0  0  0 |  1  2  1  0  2  1  1  2  0  0  0 | 1  1  2  1 0
oo3oo3oo *b3oo3oo&#x |   1   1 |   *   * 480  *   * |   0   0   0   0   1   2   2   0   0   0 |  0  0  0  0  0   2   2   1   4   1  0  0  0  0 |  0  0  0  1  4  1  2  2  0  0  0 | 0  2  2  1 0
.x .. ..    .. ..    |   0   2 |   *   *   * 80   * |   0   0   0   0   3   0   0   6   0   0 |  0  0  0  0  0   6   3   0   0   0  3  6  0  0 |  0  0  0  3  6  1  0  0  3  2  0 | 0  3  2  0 1
.. .x ..    .. ..    |   0   2 |   *   *   *  * 480 |   0   0   0   0   0   1   0   1   1   2 |  0  0  0  0  0   1   0   1   2   0  1  2  2  1 |  0  0  0  1  2  0  2  1  2  1  1 | 0  2  1  1 1
---------------------+---------+--------------------+-----------------------------------------+------------------------------------------------+----------------------------------+-------------
x.3o. ..    .. ..    |   3   0 |   3   0   0  0   0 | 160   *   *   *   *   *   *   *   *   * |  1  2  0  0  0   1   0   0   0   0  0  0  0  0 |  2  1  0  1  2  0  0  0  0  0  0 | 1  2  1  0 0
x. .. ..    x. ..    |   4   0 |   2   2   0  0   0 |   * 240   *   *   *   *   *   *   *   * |  0  2  1  0  0   0   1   0   0   0  0  0  0  0 |  1  2  0  0  2  1  0  0  0  0  0 | 1  1  2  0 0
.. o. .. *b3x. ..    |   3   0 |   0   3   0  0   0 |   *   * 320   *   *   *   *   *   *   * |  0  1  0  1  1   0   0   0   1   0  0  0  0  0 |  1  1  1  0  1  0  1  1  0  0  0 | 1  1  1  1 0
.. .. ..    x.3o.    |   3   0 |   0   3   0  0   0 |   *   *   * 160   *   *   *   *   *   * |  0  0  1  0  2   0   0   0   0   1  0  0  0  0 |  0  2  1  0  0  1  0  2  0  0  0 | 1  0  2  1 0
xx .. ..    .. ..&#x |   2   2 |   1   0   2  1   0 |   *   *   *   * 240   *   *   *   *   * |  0  0  0  0  0   2   2   0   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   0   2  0   1 |   *   *   *   *   * 480   *   *   *   * |  0  0  0  0  0   1   0   1   2   0  0  0  0  0 |  0  0  0  1  2  0  2  1  0  0  0 | 0  2  1  1 0
.. .. ..    xo ..&#x |   2   1 |   0   1   2  0   0 |   *   *   *   *   *   * 480   *   *   * |  0  0  0  0  0   0   1   0   2   1  0  0  0  0 |  0  0  0  0  2  1  1  2  0  0  0 | 0  1  2  1 0
.x3.x ..    .. ..    |   0   6 |   0   0   0  3   3 |   *   *   *   *   *   *   * 160   *   * |  0  0  0  0  0   1   0   0   0   0  1  2  0  0 |  0  0  0  1  2  0  0  0  2  1  0 | 0  2  1  0 1
.. .x3.o    .. ..    |   0   3 |   0   0   0  0   3 |   *   *   *   *   *   *   *   * 160   * |  0  0  0  0  0   0   0   1   0   0  1  0  2  0 |  0  0  0  1  0  0  2  0  2  0  1 | 0  2  0  1 1
.. .x .. *b3.o ..    |   0   3 |   0   0   0  0   3 |   *   *   *   *   *   *   *   *   * 320 |  0  0  0  0  0   0   0   0   1   0  0  1  1  1 |  0  0  0  0  1  0  1  1  1  1  1 | 0  1  1  1 1
---------------------+---------+--------------------+-----------------------------------------+------------------------------------------------+----------------------------------+-------------
x.3o.3o.    .. ..       4   0 |   6   0   0  0   0 |   4   0   0   0   0   0   0   0   0   0 | 40  *  *  *  *   *   *   *   *   *  *  *  *  * |  2  0  0  1  0  0  0  0  0  0  0 | 1  2  0  0 0
x.3o. .. *b3x. ..      12   0 |  12  12   0  0   0 |   4   6   4   0   0   0   0   0   0   0 |  * 80  *  *  *   *   *   *   *   *  *  *  *  * |  1  1  0  0  1  0  0  0  0  0  0 | 1  1  1  0 0
x. .. ..    x.3o.       6   0 |   3   6   0  0   0 |   0   3   0   2   0   0   0   0   0   0 |  *  * 80  *  *   *   *   *   *   *  *  *  *  * |  0  2  0  0  0  1  0  0  0  0  0 | 1  0  2  0 0
.. o.3o. *b3x. ..       4   0 |   0   6   0  0   0 |   0   0   4   0   0   0   0   0   0   0 |  *  *  * 80  *   *   *   *   *   *  *  *  *  * |  1  0  1  0  0  0  1  0  0  0  0 | 1  1  0  1 0
.. o. .. *b3x.3o.       6   0 |   0  12   0  0   0 |   0   0   4   4   0   0   0   0   0   0 |  *  *  *  * 80   *   *   *   *   *  *  *  *  * |  0  1  1  0  0  0  0  1  0  0  0 | 1  0  1  1 0
xx3ox ..    .. ..&#x    3   6 |   3   0   6  3   3 |   1   0   0   0   3   3   0   1   0   0 |  *  *  *  *  * 160   *   *   *   *  *  *  *  * |  0  0  0  1  2  0  0  0  0  0  0 | 0  2  1  0 0
xx .. ..    xo ..&#x    4   2 |   2   2   4  1   0 |   0   1   0   0   2   0   2   0   0   0 |  *  *  *  *  *   * 240   *   *   *  *  *  *  * |  0  0  0  0  2  1  0  0  0  0  0 | 0  1  2  0 0
.. ox3oo    .. ..&#x    1   3 |   0   0   3  0   3 |   0   0   0   0   0   3   0   0   1   0 |  *  *  *  *  *   *   * 160   *   *  *  *  *  * |  0  0  0  1  0  0  2  0  0  0  0 | 0  2  0  1 0
.. ox .. *b3xo ..&#x    3   3 |   0   3   6  0   3 |   0   0   1   0   0   3   3   0   0   1 |  *  *  *  *  *   *   *   * 320   *  *  *  *  * |  0  0  0  0  1  0  1  1  0  0  0 | 0  1  1  1 0
.. .. ..    xo3oo&#x    3   1 |   0   3   3  0   0 |   0   0   0   1   0   0   3   0   0   0 |  *  *  *  *  *   *   *   *   * 160  *  *  *  * |  0  0  0  0  0  1  0  2  0  0  0 | 0  0  2  1 0
.x3.x3.o    .. ..       0  12 |   0   0   0  6  12 |   0   0   0   0   0   0   0   4   4   0 |  *  *  *  *  *   *   *   *   *   * 40  *  *  * |  0  0  0  1  0  0  0  0  2  0  0 | 0  2  0  0 1
.x3.x .. *b3.o ..       0  12 |   0   0   0  6  12 |   0   0   0   0   0   0   0   4   0   4 |  *  *  *  *  *   *   *   *   *   *  * 80  *  * |  0  0  0  0  1  0  0  0  1  1  0 | 0  1  1  0 1
.. .x3.o *b3.o ..       0   6 |   0   0   0  0  12 |   0   0   0   0   0   0   0   0   4   4 |  *  *  *  *  *   *   *   *   *   *  *  * 80  * |  0  0  0  0  0  0  1  0  1  0  1 | 0  1  0  1 1
.. .x .. *b3.o3.o       0   4 |   0   0   0  0   6 |   0   0   0   0   0   0   0   0   0   4 |  *  *  *  *  *   *   *   *   *   *  *  *  * 80 |  0  0  0  0  0  0  0  1  0  1  1 | 0  0  1  1 1
---------------------+---------+--------------------+-----------------------------------------+------------------------------------------------+----------------------------------+-------------
x.3o.3o. *b3x. ..      32   0 |  48  48   0  0   0 |  32  24  32   0   0   0   0   0   0   0 |  8  8  0  8  0   0   0   0   0   0  0  0  0  0 | 10  *  *  *  *  *  *  *  *  *  * | 1  1  0  0 0
x.3o. .. *b3x.3o.      30   0 |  30  60   0  0   0 |  10  30  20  20   0   0   0   0   0   0 |  0  5 10  0  5   0   0   0   0   0  0  0  0  0 |  * 16  *  *  *  *  *  *  *  *  * | 1  0  1  0 0
.. o.3o. *b3x.3o.      10   0 |   0  30   0  0   0 |   0   0  20  10   0   0   0   0   0   0 |  0  0  0  5  5   0   0   0   0   0  0  0  0  0 |  *  * 16  *  *  *  *  *  *  *  * | 1  0  0  1 0
xx3ox3oo    .. ..&#x    4  12 |   6   0  12  6  12 |   4   0   0   0   6  12   0   4   4   0 |  1  0  0  0  0   4   0   4   0   0  1  0  0  0 |  *  *  * 40  *  *  *  *  *  *  * | 0  2  0  0 0
xx3ox .. *b3xo ..&#x   12  12 |  12  12  24  6  12 |   4   6   4   0  12  12  12   4   0   4 |  0  1  0  0  0   4   6   0   4   0  0  1  0  0 |  *  *  *  * 80  *  *  *  *  *  * | 0  1  1  0 0
xx .. ..    xo3oo&#x    6   2 |   3   6   6  1   0 |   0   3   0   2   3   0   6   0   0   0 |  0  0  1  0  0   0   3   0   0   2  0  0  0  0 |  *  *  *  *  * 80  *  *  *  *  * | 0  0  2  0 0
.. ox3oo *b3xo ..&#x    4   6 |   0   6  12  0  12 |   0   0   4   0   0  12   6   0   4   4 |  0  0  0  1  0   0   0   4   4   0  0  0  1  0 |  *  *  *  *  *  * 80  *  *  *  * | 0  1  0  1 0
.. ox .. *b3xo3oo&#x    6   4 |   0  12  12  0   6 |   0   0   4   4   0   6  12   0   0   4 |  0  0  0  0  1   0   0   0   4   4  0  0  0  1 |  *  *  *  *  *  *  * 80  *  *  * | 0  0  1  1 0
.x3.x3.o *b3.o ..       0  48 |   0   0   0 24  96 |   0   0   0   0   0   0   0  32  32  32 |  0  0  0  0  0   0   0   0   0   0  8  8  8  0 |  *  *  *  *  *  *  *  * 10  *  * | 0  1  0  0 1
.x3.x .. *b3.o3.o       0  20 |   0   0   0 10  30 |   0   0   0   0   0   0   0  10   0  20 |  0  0  0  0  0   0   0   0   0   0  0  5  0  5 |  *  *  *  *  *  *  *  *  * 16  * | 0  0  1  0 1
.. .x3.o *b3.o3.o       0  10 |   0   0   0  0  30 |   0   0   0   0   0   0   0   0  10  20 |  0  0  0  0  0   0   0   0   0   0  0  0  5  5 |  *  *  *  *  *  *  *  *  *  * 16 | 0  0  0  1 1
---------------------+---------+--------------------+-----------------------------------------+------------------------------------------------+----------------------------------+-------------
x.3o.3o. *b3x.3o.     160   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  0  0 | 10 16 16  0  0  0  0  0  0  0  0 | 1  *  *  * *
xx3ox3oo *b3xo ..&#x   32  48 |  48  48  96 24  96 |  32  24  32   0  48  96  48  32  32  32 |  8  8  0  8  0  32  24  32  32   0  8  8  8  0 |  1  0  0  8  8  0  8  0  1  0  0 | * 10  *  * *
xx3ox .. *b3xo3oo&#x   30  20 |  30  60  60 10  30 |  10  30  20  20  30  30  60  10   0  20 |  0  5 10  0  5  10  30   0  20  20  0  5  0  5 |  0  1  0  0  5 10  0  5  0  1  0 | *  * 16  * *
.. ox3oo *b3xo3oo&#x   10  10 |   0  30  30  0  30 |   0   0  20  10   0  30  30   0  10  20 |  0  0  0  5  5   0   0  10  20  10  0  0  5  5 |  0  0  1  0  0  0  5  5  0  0  1 | *  *  * 16 *
.x3.x3.o *b3.o3.o       0 160 |   0   0   0 80 480 |   0   0   0   0   0   0   0 160 160 320 |  0  0  0  0  0   0   0   0   0   0 40 80 80 80 |  0  0  0  0  0  0  0  0 10 16 16 | *  *  *  * 1

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