Acronym sarxasibrid
Name small rhombated hexateron atop small birhombated dodecateron,
rix-first subsegment of brox
Circumradius sqrt(2) = 1.414214
Lace city
in approx. ASCII-art
o3x3o3o   x3x3o3o   x3o3x3o     	-- x3o3x3o3o (sarx)
(rap)     (tip)     (srip)      
                                
                                
                                
     x3o3x3o   o3x3x3o   o3x3o3x	-- o3x3o3x3o (sibrid)
     (srip)    (deca)    inv (srip)
Confer
uniform relative:
brox  
related segmentoexa:
rixasarx  
general polytopal classes:
segmentopeta   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

xo3ox3xo3ox3oo&#x   → height = 1/sqrt(3) = 0.577350
(sarx || sibrid)

o.3o.3o.3o.3o.    | 60  * |  2   6   6   0   0 |  1  6  3   6   6   3   6   6  0  0   0  0  0 |  3  6  3  2  3  6   6  3   3   6   2  0  0  0  0  0 | 3  2 1  3  3  6  2  3  1  2 0  0 0 | 1 3  1  2 1 0
.o3.o3.o3.o3.o    |  * 90 |  0   0   4   4   4 |  0  0  0   0   2   4   2   8  2  2   8  2  2 |  0  0  0  0  2  1   4  2   8   4   4  1  4  4  4  1 | 0  0 0  1  4  2  2  4  4  2 2  2 2 | 0 2  2  1 2 1
------------------+-------+--------------------+----------------------------------------------+-----------------------------------------------------+------------------------------------+--------------
x. .. .. .. ..    |  2  0 | 60   *   *   *   * |  1  3  0   0   3   0   0   0  0  0   0  0  0 |  3  3  0  0  3  3   3  0   0   0   0  0  0  0  0  0 | 3  1 0  3  3  3  1  0  0  0 0  0 0 | 1 3  1  1 0 0
.. .. x. .. ..    |  2  0 |  * 180   *   *   * |  0  1  1   2   0   0   1   0  0  0   0  0  0 |  1  2  2  1  0  1   0  1   0   2   0  0  0  0  0  0 | 2  1 1  1  0  2  0  2  0  1 0  0 0 | 1 2  0  1 1 0
oo3oo3oo3oo3oo&#x |  1  1 |  *   * 360   *   * |  0  0  0   0   1   1   1   2  0  0   0  0  0 |  0  0  0  0  1  1   2  1   2   2   1  0  0  0  0  0 | 0  0 0  1  2  2  1  2  1  1 0  0 0 | 0 2  1  1 1 0
.. .x .. .. ..    |  0  2 |  *   *   * 180   * |  0  0  0   0   0   1   0   0  1  1   2  0  0 |  0  0  0  0  1  0   0  1   2   0   0  1  2  2  1  0 | 0  0 0  1  2  0  0  2  1  0 2  1 1 | 0 2  1  0 1 1
.. .. .. .x ..    |  0  2 |  *   *   *   * 180 |  0  0  0   0   0   0   0   2  0  0   2  1  1 |  0  0  0  0  0  0   1  0   2   2   2  0  1  2  2  1 | 0  0 0  0  1  1  1  2  2  2 1  1 2 | 0 1  1  1 2 1
------------------+-------+--------------------+----------------------------------------------+-----------------------------------------------------+------------------------------------+--------------
x.3o. .. .. ..    |  3  0 |  3   0   0   0   0 | 20  *  *   *   *   *   *   *  *  *   *  *  * |  3  0  0  0  3  0   0  0   0   0   0  0  0  0  0  0 | 3  0 0  3  3  0  0  0  0  0 0  0 0 | 1 3  1  0 0 0
x. .. x. .. ..    |  4  0 |  2   2   0   0   0 |  * 90  *   *   *   *   *   *  *  *   *  *  * |  1  2  0  0  0  1   0  0   0   0   0  0  0  0  0  0 | 2  1 0  1  0  2  0  0  0  0 0  0 0 | 1 2  0  1 0 0
.. o.3x. .. ..    |  3  0 |  0   3   0   0   0 |  *  * 60   *   *   *   *   *  *  *   *  *  * |  1  0  2  0  0  0   0  1   0   0   0  0  0  0  0  0 | 2  0 1  1  0  0  0  2  0  0 0  0 0 | 1 2  0  0 1 0
.. .. x.3o. ..    |  3  0 |  0   3   0   0   0 |  *  *  * 120   *   *   *   *  *  *   *  *  * |  0  1  1  1  0  0   0  0   0   1   0  0  0  0  0  0 | 1  1 1  0  0  1  0  1  0  1 0  0 0 | 1 1  0  1 1 0
xo .. .. .. ..&#x |  2  1 |  1   0   2   0   0 |  *  *  *   * 180   *   *   *  *  *   *  *  * |  0  0  0  0  1  1   2  0   0   0   0  0  0  0  0  0 | 0  0 0  1  2  2  1  0  0  0 0  0 0 | 0 2  1  1 0 0
.. ox .. .. ..&#x |  1  2 |  0   0   2   1   0 |  *  *  *   *   * 180   *   *  *  *   *  *  * |  0  0  0  0  1  0   0  1   2   0   0  0  0  0  0  0 | 0  0 0  1  2  0  0  2  1  0 0  0 0 | 0 2  1  0 1 0
.. .. xo .. ..&#x |  2  1 |  0   1   2   0   0 |  *  *  *   *   *   * 180   *  *  *   *  *  * |  0  0  0  0  0  1   0  1   0   2   0  0  0  0  0  0 | 0  0 0  1  0  2  0  2  0  1 0  0 0 | 0 2  0  1 1 0
.. .. .. ox ..&#x |  1  2 |  0   0   2   0   1 |  *  *  *   *   *   *   * 360  *  *   *  *  * |  0  0  0  0  0  0   1  0   1   1   1  0  0  0  0  0 | 0  0 0  0  1  1  1  1  1  1 0  0 0 | 0 1  1  1 1 0
.o3.x .. .. ..    |  0  3 |  0   0   0   3   0 |  *  *  *   *   *   *   *   * 60  *   *  *  * |  0  0  0  0  1  0   0  0   0   0   0  1  2  0  0  0 | 0  0 0  1  2  0  0  0  0  0 2  1 0 | 0 2  1  0 0 1
.. .x3.o .. ..    |  0  3 |  0   0   0   3   0 |  *  *  *   *   *   *   *   *  * 60   *  *  * |  0  0  0  0  0  0   0  1   0   0   0  1  0  2  0  0 | 0  0 0  1  0  0  0  2  0  0 2  0 1 | 0 2  0  0 1 1
.. .x .. .x ..    |  0  4 |  0   0   0   2   2 |  *  *  *   *   *   *   *   *  *  * 180  *  * |  0  0  0  0  0  0   0  0   1   0   0  0  1  1  1  0 | 0  0 0  0  1  0  0  1  1  0 1  1 1 | 0 1  1  0 1 1
.. .. .o3.x ..    |  0  3 |  0   0   0   0   3 |  *  *  *   *   *   *   *   *  *  *   * 60  * |  0  0  0  0  0  0   0  0   0   2   0  0  0  2  0  1 | 0  0 0  0  0  1  0  2  0  2 1  0 2 | 0 1  0  1 2 1
.. .. .. .x3.o    |  0  3 |  0   0   0   0   3 |  *  *  *   *   *   *   *   *  *  *   *  * 60 |  0  0  0  0  0  0   0  0   0   0   2  0  0  0  2  1 | 0  0 0  0  0  0  1  0  2  2 0  1 2 | 0 0  1  1 2 1
------------------+-------+--------------------+----------------------------------------------+-----------------------------------------------------+------------------------------------+--------------
x.3o.3x. .. ..     12  0 | 12  12   0   0   0 |  4  6  4   0   0   0   0   0  0  0   0  0  0 | 15  *  *  *  *  *   *  *   *   *   *  *  *  *  *  * | 2  0 0  1  0  0  0  0  0  0 0  0 0 | 1 2  0  0 0 0
x. .. x.3o. ..      6  0 |  3   6   0   0   0 |  0  3  0   2   0   0   0   0  0  0   0  0  0 |  * 60  *  *  *  *   *  *   *   *   *  *  *  *  *  * | 1  1 0  0  0  1  0  0  0  0 0  0 0 | 1 1  0  1 0 0
.. o.3x.3o. ..      6  0 |  0  12   0   0   0 |  0  0  4   4   0   0   0   0  0  0   0  0  0 |  *  * 30  *  *  *   *  *   *   *   *  *  *  *  *  * | 1  0 1  0  0  0  0  1  0  0 0  0 0 | 1 1  0  0 1 0
.. .. x.3o.3o.      4  0 |  0   6   0   0   0 |  0  0  0   4   0   0   0   0  0  0   0  0  0 |  *  *  * 30  *  *   *  *   *   *   *  *  *  *  *  * | 0  1 1  0  0  0  0  0  0  1 0  0 0 | 1 0  0  1 1 0
xo3ox .. .. ..&#x   3  3 |  3   0   6   3   0 |  1  0  0   0   3   3   0   0  1  0   0  0  0 |  *  *  *  * 60  *   *  *   *   *   *  *  *  *  *  * | 0  0 0  1  2  0  0  0  0  0 0  0 0 | 0 2  1  0 0 0
xo .. xo .. ..&#x   4  1 |  2   2   4   0   0 |  0  1  0   0   2   0   2   0  0  0   0  0  0 |  *  *  *  *  * 90   *  *   *   *   *  *  *  *  *  * | 0  0 0  1  0  2  0  0  0  0 0  0 0 | 0 2  0  1 0 0
xo .. .. ox ..&#x   2  2 |  1   0   4   0   1 |  0  0  0   0   2   0   0   2  0  0   0  0  0 |  *  *  *  *  *  * 180  *   *   *   *  *  *  *  *  * | 0  0 0  0  1  1  1  0  0  0 0  0 0 | 0 1  1  1 0 0
.. ox3xo .. ..&#x   3  3 |  0   3   6   3   0 |  0  0  1   0   0   3   3   0  0  1   0  0  0 |  *  *  *  *  *  *   * 60   *   *   *  *  *  *  *  * | 0  0 0  1  0  0  0  2  0  0 0  0 0 | 0 2  0  0 1 0
.. ox .. ox ..&#x   1  4 |  0   0   4   2   2 |  0  0  0   0   0   2   0   2  0  0   1  0  0 |  *  *  *  *  *  *   *  * 180   *   *  *  *  *  *  * | 0  0 0  0  1  0  0  1  1  0 0  0 0 | 0 1  1  0 1 0
.. .. xo3ox ..&#x   3  3 |  0   3   6   0   3 |  0  0  0   1   0   0   3   3  0  0   0  1  0 |  *  *  *  *  *  *   *  *   * 120   *  *  *  *  *  * | 0  0 0  0  0  1  0  1  0  1 0  0 0 | 0 1  0  1 1 0
.. .. .. ox3oo&#x   1  3 |  0   0   3   0   3 |  0  0  0   0   0   0   0   3  0  0   0  0  1 |  *  *  *  *  *  *   *  *   *   * 120  *  *  *  *  * | 0  0 0  0  0  0  1  0  1  1 0  0 0 | 0 0  1  1 1 0
.o3.x3.o .. ..      0  6 |  0   0   0  12   0 |  0  0  0   0   0   0   0   0  4  4   0  0  0 |  *  *  *  *  *  *   *  *   *   *   * 15  *  *  *  * | 0  0 0  1  0  0  0  0  0  0 2  0 0 | 0 2  0  0 0 1
.o3.x .. .x ..      0  6 |  0   0   0   6   3 |  0  0  0   0   0   0   0   0  2  0   3  0  0 |  *  *  *  *  *  *   *  *   *   *   *  * 60  *  *  * | 0  0 0  0  1  0  0  0  0  0 1  1 0 | 0 1  1  0 0 1
.. .x3.o3.x ..      0 12 |  0   0   0  12  12 |  0  0  0   0   0   0   0   0  0  4   6  4  0 |  *  *  *  *  *  *   *  *   *   *   *  *  * 30  *  * | 0  0 0  0  0  0  0  1  0  0 1  0 1 | 0 1  0  0 1 1
.. .x .. .x3.o      0  6 |  0   0   0   3   6 |  0  0  0   0   0   0   0   0  0  0   3  0  2 |  *  *  *  *  *  *   *  *   *   *   *  *  *  * 60  * | 0  0 0  0  0  0  0  0  1  0 0  1 1 | 0 0  1  0 1 1
.. .. .o3.x3.o      0  6 |  0   0   0   0  12 |  0  0  0   0   0   0   0   0  0  0   0  4  4 |  *  *  *  *  *  *   *  *   *   *   *  *  *  *  * 15 | 0  0 0  0  0  0  0  0  0  2 0  0 2 | 0 0  0  1 2 1
------------------+-------+--------------------+----------------------------------------------+-----------------------------------------------------+------------------------------------+--------------
x.3o.3x.3o. ..     30  0 | 30  60   0   0   0 | 10 30 20  20   0   0   0   0  0  0   0  0  0 |  5 10  5  0  0  0   0  0   0   0   0  0  0  0  0  0 | 6  * *  *  *  *  *  *  *  * *  * * | 1 1  0  0 0 0
x. .. x.3o.3o.      8  0 |  4  12   0   0   0 |  0  6  0   8   0   0   0   0  0  0   0  0  0 |  0  4  0  2  0  0   0  0   0   0   0  0  0  0  0  0 | * 15 *  *  *  *  *  *  *  * *  * * | 1 0  0  1 0 0
.. o.3x.3o.3o.     10  0 |  0  30   0   0   0 |  0  0 10  20   0   0   0   0  0  0   0  0  0 |  0  0  5  5  0  0   0  0   0   0   0  0  0  0  0  0 | *  * 6  *  *  *  *  *  *  * *  * * | 1 0  0  0 1 0
xo3ox3xo .. ..&#x  12  6 | 12  12  24  12   0 |  4  6  4   0  12  12  12   0  4  4   0  0  0 |  1  0  0  0  4  6   0  4   0   0   0  1  0  0  0  0 | *  * * 15  *  *  *  *  *  * *  * * | 0 2  0  0 0 0
xo3ox .. ox ..&#x   3  6 |  3   0  12   6   3 |  1  0  0   0   6   6   0   6  2  0   3  0  0 |  0  0  0  0  2  0   3  0   3   0   0  0  1  0  0  0 | *  * *  * 60  *  *  *  *  * *  * * | 0 1  1  0 0 0
xo .. xo3ox ..&#x   6  3 |  3   6  12   0   3 |  0  3  0   2   6   0   6   6  0  0   0  1  0 |  0  1  0  0  0  3   3  0   0   2   0  0  0  0  0  0 | *  * *  *  * 60  *  *  *  * *  * * | 0 1  0  1 0 0
xo .. .. ox3oo&#x   2  3 |  1   0   6   0   3 |  0  0  0   0   3   0   0   6  0  0   0  0  1 |  0  0  0  0  0  0   3  0   0   0   2  0  0  0  0  0 | *  * *  *  *  * 60  *  *  * *  * * | 0 0  1  1 0 0
.. ox3xo3ox ..&#x   6 12 |  0  12  24  12  12 |  0  0  4   4   0  12  12  12  0  4   6  4  0 |  0  0  1  0  0  0   0  4   6   4   0  0  0  1  0  0 | *  * *  *  *  *  * 30  *  * *  * * | 0 1  0  0 1 0
.. ox .. ox3oo&#x   1  6 |  0   0   6   3   6 |  0  0  0   0   0   3   0   6  0  0   3  0  2 |  0  0  0  0  0  0   0  0   3   0   2  0  0  0  1  0 | *  * *  *  *  *  *  * 60  * *  * * | 0 0  1  0 1 0
.. .. xo3ox3oo&#x   4  6 |  0   6  12   0  12 |  0  0  0   4   0   0   6  12  0  0   0  4  4 |  0  0  0  1  0  0   0  0   0   4   4  0  0  0  0  1 | *  * *  *  *  *  *  *  * 30 *  * * | 0 0  0  1 1 0
.o3.x3.o3.x ..      0 30 |  0   0   0  60  30 |  0  0  0   0   0   0   0   0 20 20  30 10  0 |  0  0  0  0  0  0   0  0   0   0   0  5 10  5  0  0 | *  * *  *  *  *  *  *  *  * 6  * * | 0 1  0  0 0 1
.o3.x .. .x3.o      0  9 |  0   0   0   9   9 |  0  0  0   0   0   0   0   0  3  0   9  0  3 |  0  0  0  0  0  0   0  0   0   0   0  0  3  0  3  0 | *  * *  *  *  *  *  *  *  * * 20 * | 0 0  1  0 0 1
.. .x3.o3.x3.o      0 30 |  0   0   0  30  60 |  0  0  0   0   0   0   0   0  0 10  30 20 20 |  0  0  0  0  0  0   0  0   0   0   0  0  0  5 10  5 | *  * *  *  *  *  *  *  *  * *  * 6 | 0 0  0  0 1 1
------------------+-------+--------------------+----------------------------------------------+-----------------------------------------------------+------------------------------------+--------------
x.3o.3x.3o.3o.     60  0 | 60 180   0   0   0 | 20 90 60 120   0   0   0   0  0  0   0  0  0 | 15 60 30 30  0  0   0  0   0   0   0  0  0  0  0  0 | 6 15 6  0  0  0  0  0  0  0 0  0 0 | 1 *  *  * * *
xo3ox3xo3ox ..&#x  30 30 | 30  60 120  60  30 | 10 30 20  20  60  60  60  60 20 20  30 10  0 |  5 10  5  0 20 30  30 20  30  20   0  5 10  5  0  0 | 1  0 0  5 10 10  0  5  0  0 1  0 0 | * 6  *  * * *
xo3ox .. ox3oo&#x   3  9 |  3   0  18   9   9 |  1  0  0   0   9   9   0  18  3  0   9  0  3 |  0  0  0  0  3  0   9  0   9   0   6  0  3  0  3  0 | 0  0 0  0  3  0  3  0  3  0 0  1 0 | * * 20  * * *
xo .. xo3ox3oo&#x   8  6 |  4  12  24   0  12 |  0  6  0   8  12   0  12  24  0  0   0  4  4 |  0  4  0  2  0  6  12  0   0   8   8  0  0  0  0  1 | 0  1 0  0  0  4  4  0  0  2 0  0 0 | * *  * 15 * *
.. ox3xo3ox3oo&#x  10 30 |  0  30  60  30  60 |  0  0 10  20   0  30  30  60  0 10  30 20 20 |  0  0  5  5  0  0   0 10  30  20  20  0  0  5 10  5 | 0  0 1  0  0  0  0  5 10  5 0  0 1 | * *  *  * 6 *
.o3.x3.o3.x3.o      0 90 |  0   0   0 180 180 |  0  0  0   0   0   0   0   0 60 60 180 60 60 |  0  0  0  0  0  0   0  0   0   0   0 15 60 30 60 15 | 0  0 0  0  0  0  0  0  0  0 6 20 6 | * *  *  * * 1

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