Acronym rinathin
Name rectified penteract atop truncated demipenteract,
rectified demipenteract-first cap of demirectified icosiheptaheptacontidipeton
Circumradius sqrt(14/3) = 2.160247
Lace city
in approx. ASCII-art
               r1       H2H3       r1               	-- x3o3x *b3o3o (rin)
                                                    
                                                    
                                                    
          t3        A1        B1        t2          	-- o3x3x *b3o3o (thin)

where:
r1 = o3o3x *b3x   (rit)
H2 = o3o3u *b3o,   H3 = o3o3o *b3u   (u-hex)
t2 = o3x3x *b3o,   t3 = o3x3o *b3u   (thex)
A1 = o3o3x *b3u   ((x,u)-rit)
B1 = o3o3u *b3x   ((u,x)-rit)
Confer
uniform relative:
harjak  
general polytopal classes:
segmentopeta  

Incidence matrix according to Dynkin symbol

xx3ox3xo *b3oo3oo&#x   → height = sqrt(3/8) = 0.612372
(rin || thin)

o.3o.3o. *b3o.3o.    | 80   * |   4   4   4  0   0 |   6  4   6   4   6   4   0   0   0 |  6  4  4   6  4   6   4  0  0  0  0 |  4  1  1  6  4  4  1  0  0  0 | 1  4  1  1 0
.o3.o3.o *b3.o3.o    |  * 160 |   0   0   2  1   6 |   0  0   0   2   6   1   6   3   6 |  0  0  0   6  1   3   6  3  6  3  2 |  0  0  0  3  6  3  2  3  2  1 | 0  3  2  1 1
---------------------+--------+--------------------+------------------------------------+-------------------------------------+-------------------------------+-------------
x. .. ..    .. ..    |  2   0 | 160   *   *  *   * |   3  1   0   1   0   0   0   0   0 |  3  3  0   3  1   0   0  0  0  0  0 |  3  1  0  3  3  0  0  0  0  0 | 1  3  1  0 0
.. .. x.    .. ..    |  2   0 |   * 160   *  *   * |   0  1   3   0   0   1   0   0   0 |  3  0  3   0  1   3   0  0  0  0  0 |  3  0  1  3  0  3  0  0  0  0 | 1  3  0  1 0
oo3oo3oo *b3oo3oo&#x |  1   1 |   *   * 320  *   * |   0  0   0   1   3   1   0   0   0 |  0  0  0   3  1   3   3  0  0  0  0 |  0  0  0  3  3  3  1  0  0  0 | 0  3  1  1 0
.x .. ..    .. ..    |  0   2 |   *   *   * 80   * |   0  0   0   2   0   0   6   0   0 |  0  0  0   6  1   0   0  3  6  0  0 |  0  0  0  3  6  0  0  3  2  0 | 0  3  2  0 1
.. .x ..    .. ..    |  0   2 |   *   *   *  * 480 |   0  0   0   0   1   0   1   1   2 |  0  0  0   1  0   1   2  1  2  2  1 |  0  0  0  1  2  2  1  2  1  1 | 0  2  1  1 1
---------------------+--------+--------------------+------------------------------------+-------------------------------------+-------------------------------+-------------
x.3o. ..    .. ..    |  3   0 |   3   0   0  0   0 | 160  *   *   *   *   *   *   *   * |  1  2  0   1  0   0   0  0  0  0  0 |  2  1  0  1  2  0  0  0  0  0 | 1  2  1  0 0
x. .. x.    .. ..    |  4   0 |   2   2   0  0   0 |   * 80   *   *   *   *   *   *   * |  3  0  0   0  1   0   0  0  0  0  0 |  3  0  0  3  0  0  0  0  0  0 | 1  3  0  0 0
.. o.3x.    .. ..    |  3   0 |   0   3   0  0   0 |   *  * 160   *   *   *   *   *   * |  1  0  2   0  0   1   0  0  0  0  0 |  2  0  1  1  0  2  0  0  0  0 | 1  2  0  1 0
xx .. ..    .. ..&#x |  2   2 |   1   0   2  1   0 |   *  *   * 160   *   *   *   *   * |  0  0  0   3  1   0   0  0  0  0  0 |  0  0  0  3  3  0  0  0  0  0 | 0  3  1  0 0
.. ox ..    .. ..&#x |  1   2 |   0   0   2  0   1 |   *  *   *   * 480   *   *   *   * |  0  0  0   1  0   1   2  0  0  0  0 |  0  0  0  1  2  2  1  0  0  0 | 0  2  1  1 0
.. .. xo    .. ..&#x |  2   1 |   0   1   2  0   0 |   *  *   *   *   * 160   *   *   * |  0  0  0   0  1   3   0  0  0  0  0 |  0  0  0  3  0  3  0  0  0  0 | 0  3  0  1 0
.x3.x ..    .. ..    |  0   6 |   0   0   0  3   3 |   *  *   *   *   *   * 160   *   * |  0  0  0   1  0   0   0  1  2  0  0 |  0  0  0  1  2  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   1   0  1  0  2  0 |  0  0  0  1  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   1  0  1  1  1 |  0  0  0  0  1  1  1  1  1  1 | 0  1  1  1 1
---------------------+--------+--------------------+------------------------------------+-------------------------------------+-------------------------------+-------------
x.3o.3x.    .. ..     12   0 |  12  12   0  0   0 |   4  6   4   0   0   0   0   0   0 | 40  *  *   *  *   *   *  *  *  *  * |  2  0  0  1  0  0  0  0  0  0 | 1  2  0  0 0
x.3o. .. *b3o. ..      4   0 |   6   0   0  0   0 |   4  0   0   0   0   0   0   0   0 |  * 80  *   *  *   *   *  *  *  *  * |  1  1  0  0  1  0  0  0  0  0 | 1  1  1  0 0
.. o.3x. *b3o. ..      4   0 |   0   6   0  0   0 |   0  0   4   0   0   0   0   0   0 |  *  * 80   *  *   *   *  *  *  *  * |  1  0  1  0  0  1  0  0  0  0 | 1  1  0  1 0
xx3ox ..    .. ..&#x   3   6 |   3   0   6  3   3 |   1  0   0   3   3   0   1   0   0 |  *  *  * 160  *   *   *  *  *  *  * |  0  0  0  1  2  0  0  0  0  0 | 0  2  1  0 0
xx .. xo    .. ..&#x   4   2 |   2   2   4  1   0 |   0  1   0   2   0   2   0   0   0 |  *  *  *   * 80   *   *  *  *  *  * |  0  0  0  3  0  0  0  0  0  0 | 0  3  0  0 0
.. ox3xo    .. ..&#x   3   3 |   0   3   6  0   3 |   0  0   1   0   3   3   0   1   0 |  *  *  *   *  * 160   *  *  *  *  * |  0  0  0  1  0  2  0  0  0  0 | 0  2  0  1 0
.. ox .. *b3oo ..&#x   1   3 |   0   0   3  0   3 |   0  0   0   0   3   0   0   0   1 |  *  *  *   *  *   * 320  *  *  *  * |  0  0  0  0  1  1  1  0  0  0 | 0  1  1  1 0
.x3.x3.o    .. ..      0  12 |   0   0   0  6  12 |   0  0   0   0   0   0   4   4   0 |  *  *  *   *  *   *   * 40  *  *  * |  0  0  0  1  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   4   0   4 |  *  *  *   *  *   *   *  * 80  *  * |  0  0  0  0  1  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   4   4 |  *  *  *   *  *   *   *  *  * 80  * |  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   4 |  *  *  *   *  *   *   *  *  *  * 80 |  0  0  0  0  0  0  1  0  1  1 | 0  0  1  1 1
---------------------+--------+--------------------+------------------------------------+-------------------------------------+-------------------------------+-------------
x.3o.3x. *b3o. ..     32   0 |  48  48   0  0   0 |  32 24  32   0   0   0   0   0   0 |  8  8  8   0  0   0   0  0  0  0  0 | 10  *  *  *  *  *  *  *  *  * | 1  1  0  0 0
x.3o. .. *b3o.3o.      5   0 |  10   0   0  0   0 |  10  0   0   0   0   0   0   0   0 |  0  5  0   0  0   0   0  0  0  0  0 |  * 16  *  *  *  *  *  *  *  * | 1  0  1  0 0
.. o.3x. *b3o.3o.      5   0 |   0  10   0  0   0 |   0  0  10   0   0   0   0   0   0 |  0  0  5   0  0   0   0  0  0  0  0 |  *  * 16  *  *  *  *  *  *  * | 1  0  0  1 0
xx3ox3xo    .. ..&#x  12  12 |  12  12  24  6  12 |   4  6   4  12  12  12   4   4   0 |  1  0  0   4  6   4   0  1  0  0  0 |  *  *  * 40  *  *  *  *  *  * | 0  2  0  0 0
xx3ox .. *b3oo ..&#x   4  12 |   6   0  12  6  12 |   4  0   0   6  12   0   4   0   4 |  0  1  0   4  0   0   4  0  1  0  0 |  *  *  *  * 80  *  *  *  *  * | 0  1  1  0 0
.. ox3xo *b3oo ..&#x   4   6 |   0   6  12  0  12 |   0  0   4   0  12   6   0   4   4 |  0  0  1   0  0   4   4  0  0  1  0 |  *  *  *  *  * 80  *  *  *  * | 0  1  0  1 0
.. ox .. *b3oo3oo&#x   1   4 |   0   0   4  0   6 |   0  0   0   0   6   0   0   0   4 |  0  0  0   0  0   0   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  32  32  32 |  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  10   0  20 |  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  10  20 |  0  0  0   0  0   0   0  0  0  5  5 |  *  *  *  *  *  *  *  *  * 16 | 0  0  0  1 1
---------------------+--------+--------------------+------------------------------------+-------------------------------------+-------------------------------+-------------
x.3o.3x. *b3o.3o.     80   0 | 160 160   0  0   0 | 160 80 160   0   0   0   0   0   0 | 40 80 80   0  0   0   0  0  0  0  0 | 10 16 16  0  0  0  0  0  0  0 | 1  *  *  * *
xx3ox3xo *b3oo ..&#x  32  48 |  48  48  96 24  96 |  32 24  32  48  96  48  32  32  32 |  8  8  8  32 24  32  32  8  8  8  0 |  1  0  0  8  8  8  0  1  0  0 | * 10  *  * *
xx3ox .. *b3oo3oo&#x   5  20 |  10   0  20 10  30 |  10  0   0  10  30   0  10   0  20 |  0  5  0  10  0   0  20  0  5  0  5 |  0  1  0  0  5  0  5  0  1  0 | *  * 16  * *
.. ox3xo *b3oo3oo&#x   5  10 |   0  10  20  0  30 |   0  0  10   0  30  10   0  10  20 |  0  0  5   0  0  10  20  0  0  5  5 |  0  0  1  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   0 160 160 320 |  0  0  0   0  0   0   0 40 80 80 80 |  0  0  0  0  0  0  0 10 16 16 | *  *  *  * 1

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