Acronym rixahixip
Name rectified hexateron atop hexateron prism,
rix-first cap of roc
Circumradius sqrt(3)/2 = 0.866025
Lace city
in approx. ASCII-art
           x3o3o3o3o  
                      
                      
                      
                      
                      
x3o3o3o3o    o3x3o3o3o
Face vector 27, 156, 315, 330, 209, 78, 15
Confer
uniform relative:
roc  
general polytopal classes:
segmentoexa   lace simplices  

Incidence matrix according to Dynkin symbol

ox ox3xo3oo3oo3oo&#x   → height = 1/sqrt(3) = 0.577350
(rix || hixip)

o. o.3o.3o.3o.3o.    | 15  *   8  4 0  0 |  4 12  2  2  16  0  0 |  6  8  1  8  8  24  0  0 | 4 2  4 12 12 16  0  0 | 1  6  8  8  4 0 0 | 4 2 2 0
.o .o3.o3.o3.o3.o    |  * 12 |  0  5 1  5 |  0  0  5  5  10  5 10 |  0  0  5 10 10  10 10 10 | 0 0 10 10 10  5 10  5 | 0 10  5  5  1 5 1 | 5 1 1 1
---------------------+-------+------------+-----------------------+--------------------------+-----------------------+-------------------+--------
.. .. x. .. .. ..    |  2  0 | 60  * *  * |  1  3  0  0   2  0  0 |  3  3  0  1  2   6  0  0 | 3 1  1  3  6  6  0  0 | 1  3  3  6  2 0 0 | 3 1 2 0
oo oo3oo3oo3oo3oo&#x |  1  1 |  * 60 *  * |  0  0  1  1   4  0  0 |  0  0  1  4  4   6  0  0 | 0 0  4  6  6  4  0  0 | 0  6  4  4  1 0 0 | 4 1 1 0
.x .. .. .. .. ..    |  0  2 |  *  * 6  * |  0  0  5  0   0  5  0 |  0  0  5 10  0   0 10  0 | 0 0 10 10  0  0 10  0 | 0 10  5  0  0 5 0 | 5 1 0 1
.. .x .. .. .. ..    |  0  2 |  *  * * 30 |  0  0  0  1   0  1  4 |  0  0  1  0  4   0  4  6 | 0 0  4  0  6  0  6  4 | 0  6  0  4  0 4 1 | 4 0 1 1
---------------------+-------+------------+-----------------------+--------------------------+-----------------------+-------------------+--------
.. o.3x. .. .. ..    |  3  0 |  3  0 0  0 | 20  *  *  *   *  *  *   3  0  0  0  2   0  0  0 | 3 0  1  0  6  0  0  0 | 1  3  0  6  0 0 0 | 3 0 2 0
.. .. x.3o. .. ..    |  3  0 |  3  0 0  0 |  * 60  *  *   *  *  * |  1  2  0  0  0   2  0  0 | 2 1  0  1  2  4  0  0 | 1  1  2  4  2 0 0 | 2 1 2 0
ox .. .. .. .. ..&#x |  1  2 |  0  2 1  0 |  *  * 30  *   *  *  * |  0  0  1  4  0   0  0  0 | 0 0  4  6  0  0  0  0 | 0  6  4  0  0 0 0 | 4 1 0 0
.. ox .. .. .. ..&#x |  1  2 |  0  2 0  1 |  *  *  * 30   *  *  *   0  0  1  0  4   0  0  0 | 0 0  4  0  6  0  0  0 | 0  6  0  4  0 0 0 | 4 0 1 0
.. .. xo .. .. ..&#x |  2  1 |  1  2 0  0 |  *  *  *  * 120  *  * |  0  0  0  1  1   3  0  0 | 0 0  1  3  3  3  0  0 | 0  3  3  3  1 0 0 | 3 1 1 0
.x .x .. .. .. ..    |  0  4 |  0  0 2  2 |  *  *  *  *   * 15  * |  0  0  1  0  0   0  4  0 | 0 0  4  0  0  0  6  0 | 0  6  0  0  0 4 0 | 4 0 0 1
.. .x3.o .. .. ..    |  0  3 |  0  0 0  3 |  *  *  *  *   *  * 40 |  0  0  0  0  1   0  1  3 | 0 0  1  0  3  0  3  3 | 0  3  0  3  0 3 1 | 3 0 1 1
---------------------+-------+------------+-----------------------+--------------------------+-----------------------+-------------------+--------
.. o.3x.3o. .. ..      6  0 | 12  0 0  0 |  4  4  0  0   0  0  0 | 15  *  *  *  *   *  *  *  2 0  0  0  2  0  0  0 | 1  1  0  4  0 0 0 | 2 0 2 0
.. .. x.3o.3o. ..      4  0 |  6  0 0  0 |  0  4  0  0   0  0  0 |  * 30  *  *  *   *  *  * | 1 1  0  0  0  2  0  0 | 1  0  1  2  2 0 0 | 1 1 2 0
ox ox .. .. .. ..&#x   1  4 |  0  4 2  2 |  0  0  2  2   0  1  0 |  *  * 15  *  *   *  *  *  0 0  4  0  0  0  0  0 | 0  6  0  0  0 0 0 | 4 0 0 0
ox .. xo .. .. ..&#x   2  2 |  1  4 1  0 |  0  0  2  0   2  0  0 |  *  *  * 60  *   *  *  * | 0 0  1  3  0  0  0  0 | 0  3  3  0  0 0 0 | 3 1 0 0
.. ox3xo .. .. ..&#x   3  3 |  3  6 0  3 |  1  0  0  3   3  0  1 |  *  *  *  * 40   *  *  *  0 0  1  0  3  0  0  0 | 0  3  0  3  0 0 0 | 3 0 1 0
.. .. xo3oo .. ..&#x   3  1 |  3  3 0  0 |  0  1  0  0   3  0  0 |  *  *  *  *  * 120  *  * | 0 0  0  1  1  2  0  0 | 0  1  2  2  1 0 0 | 2 1 1 0
.x .x3.o .. .. ..      0  6 |  0  0 3  6 |  0  0  0  0   0  3  2 |  *  *  *  *  *   * 20  * | 0 0  1  0  0  0  3  0 | 0  3  0  0  0 3 0 | 3 0 0 1
.. .x3.o3.o .. ..      0  4 |  0  0 0  6 |  0  0  0  0   0  0  4 |  *  *  *  *  *   *  * 30 | 0 0  0  0  1  0  1  2 | 0  1  0  2  0 2 1 | 2 0 1 1
---------------------+-------+------------+-----------------------+--------------------------+-----------------------+-------------------+--------
.. o.3x.3o.3o. ..     10  0 | 30  0 0  0 | 10 20  0  0   0  0  0 |  5  5  0  0  0   0  0  0 | 6 *  *  *  *  *  *  * | 1  0  0  2  0 0 0 | 1 0 2 0
.. .. x.3o.3o.3o.      5  0 | 10  0 0  0 |  0 10  0  0   0  0  0 |  0  5  0  0  0   0  0  0 | * 6  *  *  *  *  *  * | 1  0  0  0  2 0 0 | 0 1 2 0
ox ox3xo .. .. ..&#x   3  6 |  3 12 3  6 |  1  0  6  6   6  3  2 |  0  0  3  3  2   0  1  0 | * * 20  *  *  *  *  * | 0  3  0  0  0 0 0 | 3 0 0 0
ox .. xo3oo .. ..&#x   3  2 |  3  6 1  0 |  0  1  3  0   6  0  0 |  0  0  0  3  0   2  0  0 | * *  * 60  *  *  *  * | 0  1  2  0  0 0 0 | 2 1 0 0
.. ox3xo3oo .. ..&#x   6  4 | 12 12 0  6 |  4  4  0  6  12  0  4 |  1  0  0  0  4   4  0  1 | * *  *  * 30  *  *  * | 0  1  0  2  0 0 0 | 2 0 1 0
.. .. xo3oo3oo ..&#x   4  1 |  6  4 0  0 |  0  4  0  0   6  0  0 |  0  1  0  0  0   4  0  0 | * *  *  *  * 60  *  * | 0  0  1  1  1 0 0 | 1 1 1 0
.x .x3.o3.o .. ..      0  8 |  0  0 4 12 |  0  0  0  0   0  6  8 |  0  0  0  0  0   0  4  2 | * *  *  *  *  * 15  * | 0  1  0  0  0 2 0 | 2 0 0 1
.. .x3.o3.o3.o ..      0  5 |  0  0 0 10 |  0  0  0  0   0  0 10 |  0  0  0  0  0   0  0  5 | * *  *  *  *  *  * 12 | 0  0  0  1  0 1 1 | 1 0 1 1
---------------------+-------+------------+-----------------------+--------------------------+-----------------------+-------------------+--------
.. o.3x.3o.3o.3o.     15  0 | 60  0 0  0 | 20 60  0  0   0  0  0 | 15 30  0  0  0   0  0  0 | 6 6  0  0  0  0  0  0 | 1  *  *  *  * * * | 0 0 2 0
ox ox3xo3oo .. ..&#x   6  8 | 12 24 4 12 |  4  4 12 12  24  6  8 |  1  0  6 12  8   8  4  2 | 0 0  4  4  2  0  1  0 | * 15  *  *  * * * | 2 0 0 0
ox .. xo3oo3oo ..&#x   4  2 |  6  8 1  0 |  0  4  4  0  12  0  0 |  0  1  0  6  0   8  0  0 | 0 0  0  4  0  2  0  0 | *  * 30  *  * * * | 1 1 0 0
.. ox3xo3oo3oo ..&#x  10  5 | 30 20 0 10 | 10 20  0 10  30  0 10 |  5  5  0  0 10  20  0  5 | 1 0  0  0  5  5  0  1 | *  *  * 12  * * * | 1 0 1 0
.. .. xo3oo3oo3oo&#x   5  1 | 10  5 0  0 |  0 10  0  0  10  0  0 |  0  5  0  0  0  10  0  0 | 0 1  0  0  0  5  0  0 | *  *  *  * 12 * * | 0 1 1 0
.x .x3.o3.o3.o ..      0 10 |  0  0 5 20 |  0  0  0  0   0 10 20 |  0  0  0  0  0   0 10 10 | 0 0  0  0  0  0  5  2 | *  *  *  *  * 6 * | 1 0 0 1
.. .x3.o3.o3.o3.o      0  6 |  0  0 0 15 |  0  0  0  0   0  0 20 |  0  0  0  0  0   0  0 15 | 0 0  0  0  0  0  0  6 | *  *  *  *  * * 2 | 0 0 1 1
---------------------+-------+------------+-----------------------+--------------------------+-----------------------+-------------------+--------
ox ox3xo3oo3oo ..&#x  10 10 | 30 40 5 20 | 10 20 20 20  60 10 20 |  5  5 10 30 20  40 10 10 | 1 0 10 20 10 10  5  2 | 0  5  5  2  0 1 0 | 6 * * *
ox .. xo3oo3oo3oo&#x   5  2 | 10 10 1  0 |  0 10  5  0  20  0  0 |  0  5  0 10  0  20  0  0 | 0 1  0 10  0 10  0  0 | 0  0  5  0  2 0 0 | * 6 * *
.. ox3xo3oo3oo3oo&#x  15  6 | 60 30 0 15 | 20 60  0 15  60  0 20 | 15 30  0  0 20  60  0 15 | 6 6  0  0 15 30  0  6 | 1  0  0  6  6 0 1 | * * 2 *
.x .x3.o3.o3.o3.o      0 12 |  0  0 6 30 |  0  0  0  0   0 15 40 |  0  0  0  0  0   0 20 30 | 0 0  0  0  0  0 15 12 | 0  0  0  0  0 6 2 | * * * 1

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