Acronym rixasarx
Name rectified hexateron atop small rhombated hexateron,
rix-first cap of brox
Circumradius sqrt(2) = 1.414214
Lace city
in approx. ASCII-art
     x3o3o3o   o3x3o3o     	-- o3x3o3o3o (rix)
     (pen)     (rap)         
                           
                           
                           
o3x3o3o   x3x3o3o   x3o3x3o	-- x3o3x3o3o (sarx)
(rap)     (tip)     (srip)  
Confer
uniform relative:
brox  
related segmentoexa:
sarxasibrid  
general polytopal classes:
segmentopeta   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

ox3xo3ox3oo3oo&#x   → height = 1/sqrt(3) = 0.577350
(rix || sarx)

o.3o.3o.3o.3o.    | 15  *   8   8  0   0 |  4 12  4  8  12  0  0  0   0 |  6  8  4  6 12   8  0  0  0  0 | 4 2  6  4  8  2 0  0 0 | 1 4  1 2 0
.o3.o3.o3.o3.o    |  * 60 |  0   2  2   6 |  0  0  2  1   6  1  6  3   6 |  0  0  1  6  3   6  3  6  3  2 | 0 0  3  6  3  2 3  2 1 | 0 3  2 1 1
------------------+-------+---------------+------------------------------+--------------------------------+------------------------+-----------
.. x. .. .. ..    |  2  0 | 60   *  *   * |  1  3  0  1   0  0  0  0   0 |  3  3  1  0  3   0  0  0  0  0 | 3 1  3  0  3  0 0  0 0 | 1 3  0 1 0
oo3oo3oo3oo3oo&#x |  1  1 |  * 120  *   * |  0  0  1  1   3  0  0  0   0 |  0  0  1  3  3   3  0  0  0  0 | 0 0  3  3  3  1 0  0 0 | 0 3  1 1 0
.x .. .. .. ..    |  0  2 |  *   * 60   * |  0  0  1  0   0  1  3  0   0 |  0  0  1  3  0   0  3  3  0  0 | 0 0  3  3  0  0 3  1 0 | 0 3  1 0 1
.. .. .x .. ..    |  0  2 |  *   *  * 180 |  0  0  0  0   1  0  1  1   2 |  0  0  0  1  1   2  1  2  2  1 | 0 0  1  2  2  1 2  1 1 | 0 2  1 1 1
------------------+-------+---------------+------------------------------+--------------------------------+------------------------+-----------
o.3x. .. .. ..    |  3  0 |  3   0  0   0 | 20  *  *  *   *  *  *  *   * |  3  0  1  0  0   0  0  0  0  0 | 3 0  3  0  0  0 0  0 0 | 1 3  0 0 0
.. x.3o. .. ..    |  3  0 |  3   0  0   0 |  * 60  *  *   *  *  *  *   * |  1  2  0  0  1   0  0  0  0  0 | 2 1  1  0  2  0 0  0 0 | 1 2  0 1 0
ox .. .. .. ..&#x |  1  2 |  0   2  1   0 |  *  * 60  *   *  *  *  *   * |  0  0  1  3  0   0  0  0  0  0 | 0 0  3  3  0  0 0  0 0 | 0 3  1 0 0
.. xo .. .. ..&#x |  2  1 |  1   2  0   0 |  *  *  * 60   *  *  *  *   * |  0  0  1  0  3   0  0  0  0  0 | 0 0  3  0  3  0 0  0 0 | 0 3  0 1 0
.. .. ox .. ..&#x |  1  2 |  0   2  0   1 |  *  *  *  * 180  *  *  *   * |  0  0  0  1  1   2  0  0  0  0 | 0 0  1  2  2  1 0  0 0 | 0 2  1 1 0
.x3.o .. .. ..    |  0  3 |  0   0  3   0 |  *  *  *  *   * 20  *  *   * |  0  0  1  0  0   0  3  0  0  0 | 0 0  3  0  0  0 3  0 0 | 0 3  0 0 1
.x .. .x .. ..    |  0  4 |  0   0  2   2 |  *  *  *  *   *  * 90  *   * |  0  0  0  1  0   0  1  2  0  0 | 0 0  1  2  0  0 2  1 0 | 0 2  1 0 1
.. .o3.x .. ..    |  0  3 |  0   0  0   3 |  *  *  *  *   *  *  * 60   * |  0  0  0  0  1   0  1  0  2  0 | 0 0  1  0  2  0 2  0 1 | 0 2  0 1 1
.. .. .x3.o ..    |  0  3 |  0   0  0   3 |  *  *  *  *   *  *  *  * 120 |  0  0  0  0  0   1  0  1  1  1 | 0 0  0  1  1  1 1  1 1 | 0 1  1 1 1
------------------+-------+---------------+------------------------------+--------------------------------+------------------------+-----------
o.3x.3o. .. ..      6  0 | 12   0  0   0 |  4  4  0  0   0  0  0  0   0 | 15  *  *  *  *   *  *  *  *  * | 2 0  1  0  0  0 0  0 0 | 1 2  0 0 0
.. x.3o.3o. ..      4  0 |  6   0  0   0 |  0  4  0  0   0  0  0  0   0 |  * 30  *  *  *   *  *  *  *  * | 1 1  0  0  1  0 0  0 0 | 1 1  0 1 0
ox3xo .. .. ..&#x   3  3 |  3   6  3   0 |  1  0  3  3   0  1  0  0   0 |  *  * 20  *  *   *  *  *  *  * | 0 0  3  0  0  0 0  0 0 | 0 3  0 0 0
ox .. ox .. ..&#x   1  4 |  0   4  2   2 |  0  0  2  0   2  0  1  0   0 |  *  *  * 90  *   *  *  *  *  * | 0 0  1  2  0  0 0  0 0 | 0 2  1 0 0
.. xo3ox .. ..&#x   3  3 |  3   6  0   3 |  0  1  0  3   3  0  0  1   0 |  *  *  *  * 60   *  *  *  *  * | 0 0  1  0  2  0 0  0 0 | 0 2  0 1 0
.. .. ox3oo ..&#x   1  3 |  0   3  0   3 |  0  0  0  0   3  0  0  0   1 |  *  *  *  *  * 120  *  *  *  * | 0 0  0  1  1  1 0  0 0 | 0 1  1 1 0
.x3.o3.x .. ..      0 12 |  0   0 12  12 |  0  0  0  0   0  4  6  4   0 |  *  *  *  *  *   * 15  *  *  * | 0 0  1  0  0  0 2  0 0 | 0 2  0 0 1
.x .. .x3.o ..      0  6 |  0   0  3   6 |  0  0  0  0   0  0  3  0   2 |  *  *  *  *  *   *  * 60  *  * | 0 0  0  1  0  0 1  1 0 | 0 1  1 0 1
.. .o3.x3.o ..      0  6 |  0   0  0  12 |  0  0  0  0   0  0  0  4   4 |  *  *  *  *  *   *  *  * 30  * | 0 0  0  0  1  0 1  0 1 | 0 1  0 1 1
.. .. .x3.o3.o      0  4 |  0   0  0   6 |  0  0  0  0   0  0  0  0   4 |  *  *  *  *  *   *  *  *  * 30 | 0 0  0  0  0  1 0  1 1 | 0 0  1 1 1
------------------+-------+---------------+------------------------------+--------------------------------+------------------------+-----------
o.3x.3o.3o. ..     10  0 | 30   0  0   0 | 10 20  0  0   0  0  0  0   0 |  5  5  0  0  0   0  0  0  0  0 | 6 *  *  *  *  * *  * * | 1 1  0 0 0
.. x.3o.3o.3.o      5  0 | 10   0  0   0 |  0 10  0  0   0  0  0  0   0 |  0  5  0  0  0   0  0  0  0  0 | * 6  *  *  *  * *  * * | 1 0  0 1 0
ox3xo3ox .. ..&#x   6 12 | 12  24 12  12 |  4  4 12 12  12  4  6  4   0 |  1  0  4  6  4   0  1  0  0  0 | * * 15  *  *  * *  * * | 0 2  0 0 0
ox .. ox3oo ..&#x   1  6 |  0   6  3   6 |  0  0  3  0   6  0  3  0   2 |  0  0  0  3  0   2  0  1  0  0 | * *  * 60  *  * *  * * | 0 1  1 0 0
.. xo3ox3oo ..&#x   4  6 |  6  12  0  12 |  0  4  0  6  12  0  0  4   4 |  0  1  0  0  4   4  0  0  1  0 | * *  *  * 30  * *  * * | 0 1  0 1 0
.. .. ox3oo3oo&#x   1  4 |  0   4  0   6 |  0  0  0  0   6  0  0  0   4 |  0  0  0  0  0   4  0  0  0  1 | * *  *  *  * 30 *  * * | 0 0  1 1 0
.x3.o3.x3.o ..      0 30 |  0   0 30  60 |  0  0  0  0   0 10 30 20  20 |  0  0  0  0  0   0  5 10  5  0 | * *  *  *  *  * 6  * * | 0 1  0 0 1
.x .. .x3.o3.o      0  8 |  0   0  4  12 |  0  0  0  0   0  0  6  0   8 |  0  0  0  0  0   0  0  4  0  2 | * *  *  *  *  * * 15 * | 0 0  1 0 1
.. .o3.x3.o3.o      0 10 |  0   0  0  30 |  0  0  0  0   0  0  0 10  20 |  0  0  0  0  0   0  0  0  5  5 | * *  *  *  *  * *  * 6 | 0 0  0 1 1
------------------+-------+---------------+------------------------------+--------------------------------+------------------------+-----------
o.3x.3o.3o.3o.     15  0 | 60   0  0   0 | 20 60  0  0   0  0  0  0   0 | 15 30  0  0  0   0  0  0  0  0 | 6 6  0  0  0  0 0  0 0 | 1 *  * * *
ox3xo3ox3oo ..&#x  10 30 | 30  60 30  60 | 10 20 30 30  60 10 30 20  20 |  5  5 10 30 20  20  5 10  5  0 | 1 0  5 10  5  0 1  0 0 | * 6  * * *
ox .. ox3oo3oo&#x   1  8 |  0   8  4  12 |  0  0  4  0  12  0  6  0   8 |  0  0  0  6  0   8  0  4  0  2 | 0 0  0  4  0  2 0  1 0 | * * 15 * *
.. xo3ox3oo3oo&#x   5 10 | 10  20  0  30 |  0 10  0 10  30  0  0 10  20 |  0  5  0  0 10  20  0  0  5  5 | 0 1  0  0  5  5 0  0 1 | * *  * 6 *
.x3.o3.x3.o3.o      0 60 |  0   0 60 180 |  0  0  0  0   0 20 90 60 120 |  0  0  0  0  0   0 15 60 30 30 | 0 0  0  0  0  0 6 15 6 | * *  * * 1

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