Acronym hinarin
Name demipenteract atop rectified penteract,
demipenteract-first cap of demified icosiheptaheptacontidipeton
Circumradius sqrt(8/3) = 1.632993
Lace city
in approx. ASCII-art
    O       E    		-- x3o3o *b3o3o (hin)
                 
                 
R       T       R		-- x3o3x *b3o3o (rin)

where:
O = x3o3o *b3o
E = o3o3x *b3o
R = x3o3x *b3o        = o3o3x4o
T = uo3oo3ou *b3oo&#q = o3o3o4q
Confer
uniform relative:
hejak  
general polytopal classes:
segmentopeta  

Incidence matrix according to Dynkin symbol

xx3oo3ox *b3oo3oo&#x   → height = sqrt(3/8) = 0.612372
(hin || rin)

o.3o.3o. *b3o.3o.    | 16  * | 10  5   0   0 |  30  20  10   0  0   0 | 10 20  30 10  10  0  0  0 |  5  5 10 20  5  0  0  0 | 1  5  5  1 0
.o3.o3.o *b3.o3.o    |  * 80 |  0  1   4   4 |   0   4   4   6  4   6 |  0  0   6  4   6  6  4  4 |  0  0  6  4  4  4  1  1 | 0  4  1  1 1
---------------------+-------+---------------+------------------------+---------------------------+-------------------------+-------------
x. .. ..    .. ..    |  2  0 | 80  *   *   * |   6   2   0   0  0   0 |  3  6   6  1   0  0  0  0 |  3  2  3  6  0  0  0  0 | 1  3  2  0 0
oo3oo3oo *b3oo3oo&#x |  1  1 |  * 80   *   * |   0   4   4   0  0   0 |  0  0   6  4   6  0  0  0 |  0  0  6  4  4  0  0  0 | 0  4  1  1 0
.x .. ..    .. ..    |  0  2 |  *  * 160   * |   0   1   0   3  1   0 |  0  0   3  1   0  3  3  0 |  0  0  3  3  0  3  1  0 | 0  3  1  0 1
.. .. .x    .. ..    |  0  2 |  *  *   * 160 |   0   0   1   0  1   3 |  0  0   0  1   3  3  0  3 |  0  0  3  0  3  3  0  1 | 0  3  0  1 1
---------------------+-------+---------------+------------------------+---------------------------+-------------------------+-------------
x.3o. ..    .. ..    |  3  0 |  3  0   0   0 | 160   *   *   *  *   * |  1  2   1  0   0  0  0  0 |  2  1  1  2  0  0  0  0 | 1  2  1  0 0
xx .. ..    .. ..&#x |  2  2 |  1  2   1   0 |   * 160   *   *  *   * |  0  0   3  1   0  0  0  0 |  0  0  3  3  0  0  0  0 | 0  3  1  0 0
.. .. ox    .. ..&#x |  1  2 |  0  2   0   1 |   *   * 160   *  *   * |  0  0   0  1   3  0  0  0 |  0  0  3  0  3  0  0  0 | 0  3  0  1 0
.x3.o ..    .. ..    |  0  3 |  0  0   3   0 |   *   *   * 160  *   * |  0  0   1  0   0  1  2  0 |  0  0  1  2  0  2  1  0 | 0  2  1  0 1
.x .. .x    .. ..    |  0  4 |  0  0   2   2 |   *   *   *   * 80   * |  0  0   0  1   0  3  0  0 |  0  0  3  0  0  3  0  0 | 0  3  0  0 1
.. .o3.x    .. ..    |  0  3 |  0  0   0   3 |   *   *   *   *  * 160 |  0  0   0  0   1  1  0  2 |  0  0  1  0  2  2  0  1 | 0  2  0  1 1
---------------------+-------+---------------+------------------------+---------------------------+-------------------------+-------------
x.3o.3o.    .. ..      4  0 |  6  0   0   0 |   4   0   0   0  0   0 | 40  *   *  *   *  *  *  * |  2  0  1  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 |  * 80   *  *   *  *  *  * |  1  1  0  1  0  0  0  0 | 1  1  1  0 0
xx3oo ..    .. ..&#x   3  3 |  3  3   3   0 |   1   3   0   1  0   0 |  *  * 160  *   *  *  *  * |  0  0  1  2  0  0  0  0 | 0  2  1  0 0
xx .. ox    .. ..&#x   2  4 |  1  4   2   2 |   0   2   2   0  1   0 |  *  *   * 80   *  *  *  * |  0  0  3  0  0  0  0  0 | 0  3  0  0 0
.. oo3ox    .. ..&#x   1  3 |  0  3   0   3 |   0   0   3   0  0   1 |  *  *   *  * 160  *  *  * |  0  0  1  0  2  0  0  0 | 0  2  0  1 0
.x3.o3.x    .. ..      0 12 |  0  0  12  12 |   0   0   0   4  6   4 |  *  *   *  *   * 40  *  * |  0  0  1  0  0  2  0  0 | 0  2  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  1  1  0 | 0  1  1  0 1
.. .o3.x *b3.o ..      0  4 |  0  0   0   6 |   0   0   0   0  0   4 |  *  *   *  *   *  *  * 80 |  0  0  0  0  1  1  0  1 | 0  1  0  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 | 10  *  *  *  *  *  *  * | 1  1  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 |  * 16  *  *  *  *  *  * | 1  0  1  0 0
xx3oo3ox    .. ..&#x   4 12 |  6 12  12  12 |   4  12  12   4  6   4 |  1  0   4  6   4  1  0  0 |  *  * 40  *  *  *  *  * | 0  2  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 |  *  *  * 80  *  *  *  * | 0  1  1  0 0
.. oo3ox *b3oo ..&#x   1  4 |  0  4   0   6 |   0   0   6   0  0   4 |  0  0   0  0   4  0  0  1 |  *  *  *  * 80  *  *  * | 0  1  0  1 0
.x3.o3.x *b3.o ..      0 32 |  0  0  48  48 |   0   0   0  32 24  32 |  0  0   0  0   0  8  8  8 |  *  *  *  *  * 10  *  * | 0  1  0  0 1
.x3.o .. *b3.o3.o      0  5 |  0  0  10   0 |   0   0   0  10  0   0 |  0  0   0  0   0  0  5  0 |  *  *  *  *  *  * 16  * | 0  0  1  0 1
.. .o3.x *b3.o3.o      0  5 |  0  0   0  10 |   0   0   0   0  0  10 |  0  0   0  0   0  0  0  5 |  *  *  *  *  *  *  * 16 | 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 | 10 16  0  0  0  0  0  0 | 1  *  *  * *
xx3oo3ox *b3oo ..&#x   8 32 | 24 32  48  48 |  32  48  48  32 24  32 |  8  8  32 24  32  8  8  8 |  1  0  8  8  8  1  0  0 | * 10  *  * *
xx3oo .. *b3oo3oo&#x   5  5 | 10  5  10   0 |  10  10   0  10  0   0 |  0  5  10  0   0  0  5  0 |  0  1  0  5  0  0  1  0 | *  * 16  * *
.. oo3ox *b3oo3oo&#x   1  5 |  0  5   0  10 |   0   0  10   0  0  10 |  0  0   0  0  10  0  0  5 |  0  0  0  0  5  0  0  1 | *  *  * 16 *
.x3.o3.x *b3.o3.o      0 80 |  0  0 160 160 |   0   0   0 160 80 160 |  0  0   0  0   0 40 80 80 |  0  0  0  0  0 10 16 16 | *  *  *  * 1

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