Acronym rixalspix
Name rectified hexateron atop small prismated hexateron,
rix-first cap of scal
Circumradius sqrt(10/7) = 1.195229
Lace city
in approx. ASCII-art
   r   p  		-- o3x3o3o3o (rix)
          
r   S   s 		-- o3x3o3o3x (inv spix)

where:
p = x3o3o3o (pen)
r = o3x3o3o (rap)
S = o3x3o3x (inv srip)
s = x3o3o3x (spid)
Confer
uniform relative:
scal  
general polytopal classes:
segmentopeta  

Incidence matrix according to Dynkin symbol

oo3xx3oo3oo3ox&#x   → height = sqrt(7/12) = 0.763763
(rix || inv spix)

o.3o.3o.3o.3o.    | 15  * |  8  4   0  0 |  4 12  24  6  0   0   0  0 |  6  8 12  24  24  4  0  0  0  0  0  0 | 4 2 12 12  8 12  8  1 0  0  0 0 | 1 4  6  4 2 0
.o3.o3.o3.o3.o    |  * 60 |  0  1   6  3 |  0  0   6  3  3   6  12  3 |  0  0  3   6  12  3  3  6  2  6  6  1 | 0 0  3  6  2  6  6  1 1  3  3 2 | 0 1  3  3 2 1
------------------+-------+--------------+----------------------------+---------------------------------------+---------------------------------+--------------
.. x. .. .. ..    |  2  0 | 60  *   *  * |  1  3   3  0  0   0   0  0 |  3  3  3   6   3  0  0  0  0  0  0  0 | 3 1  6  3  3  3  1  0 0  0  0 0 | 1 3  3  1 1 0
oo3oo3oo3oo3oo&#x |  1  1 |  * 60   *  * |  0  0   6  3  0   0   0  0 |  0  0  3   6  12  3  0  0  0  0  0  0 | 0 0  3  6  2  6  6  1 0  0  0 0 | 0 1  3  3 2 0
.. .x .. .. ..    |  0  2 |  *  * 180  * |  0  0   1  0  1   2   2  0 |  0  0  1   2   2  0  2  2  1  2  1  0 | 0 0  2  2  1  2  1  0 1  2  1 1 | 0 1  2  1 1 1
.. .. .. .. .x    |  0  2 |  *  *   * 90 |  0  0   0  1  0   0   4  2 |  0  0  0   0   4  2  0  2  0  2  4  1 | 0 0  0  2  0  2  4  1 0  1  2 2 | 0 0  1  2 2 1
------------------+-------+--------------+----------------------------+---------------------------------------+---------------------------------+--------------
o.3x. .. .. ..    |  3  0 |  3  0   0  0 | 20  *   *  *  *   *   *  * |  3  0  3   0   0  0  0  0  0  0  0  0 | 3 0  3  3  0  0  0  0 0  0  0 0 | 1 3  3  1 0 0
.. x.3o. .. ..    |  3  0 |  3  0   0  0 |  * 60   *  *  *   *   *  * |  1  2  0   2   0  0  0  0  0  0  0  0 | 2 1  2  0  2  1  0  0 0  0  0 0 | 1 2  1  0 1 0
.. xx .. .. ..&#x |  2  2 |  1  2   1  0 |  *  * 180  *  *   *   *  * |  0  0  1   2   2  0  0  0  0  0  0  0 | 0 0  2  2  1  2  1  0 0  0  0 0 | 0 1  2  1 1 0
.. .. .. .. ox&#x |  1  2 |  0  2   0  1 |  *  *   * 90  *   *   *  * |  0  0  0   0   4  2  0  0  0  0  0  0 | 0 0  0  2  0  2  4  1 0  0  0 0 | 0 0  1  2 2 0
.o3.x .. .. ..    |  0  3 |  0  0   3  0 |  *  *   *  * 60   *   *  * |  0  0  1   0   0  0  2  2  0  0  0  0 | 0 0  2  2  0  0  0  0 1  2  1 0 | 0 1  2  1 0 1
.. .x3.o .. ..    |  0  3 |  0  0   3  0 |  *  *   *  *  * 120   *  * |  0  0  0   1   0  0  1  0  1  1  0  0 | 0 0  1  0  1  1  0  0 1  1  0 1 | 0 1  1  0 1 1
.. .x .. .. .x    |  0  4 |  0  0   2  2 |  *  *   *  *  *   * 180  * |  0  0  0   0   1  0  0  1  0  1  1  0 | 0 0  0  1  0  1  1  0 0  1  1 1 | 0 0  1  1 1 1
.. .. .. .o3.x    |  0  3 |  0  0   0  3 |  *  *   *  *  *   *   * 60 |  0  0  0   0   0  1  0  0  0  0  2  1 | 0 0  0  0  0  0  2  1 0  0  1 2 | 0 0  0  1 2 1
------------------+-------+--------------+----------------------------+---------------------------------------+---------------------------------+--------------
o.3x.3o. .. ..      6  0 | 12  0   0  0 |  4  4   0  0  0   0   0  0 | 15  *  *   *   *  *  *  *  *  *  *  * | 2 0  2  0  0  0  0  0 0  0  0 0 | 1 2  1  0 0 0
.. x.3o.3o. ..      4  0 |  6  0   0  0 |  0  4   0  0  0   0   0  0 |  * 30  *   *   *  *  *  *  *  *  *  * | 1 1  0  0  1  0  0  0 0  0  0 0 | 1 1  0  0 1 0
oo3xx .. .. ..&#x   3  3 |  3  3   3  0 |  1  0   3  0  1   0   0  0 |  *  * 60   *   *  *  *  *  *  *  *  * | 0 0  2  2  0  0  0  0 0  0  0 0 | 0 1  2  1 0 0
.. xx3oo .. ..&#x   3  3 |  3  3   3  0 |  0  1   3  0  0   1   0  0 |  *  *  * 120   *  *  *  *  *  *  *  * | 0 0  1  0  1  1  0  0 0  0  0 0 | 0 1  1  0 1 0
.. xx .. .. ox&#x   2  4 |  1  4   2  2 |  0  0   2  2  0   0   1  0 |  *  *  *   * 180  *  *  *  *  *  *  * | 0 0  0  1  0  1  1  0 0  0  0 0 | 0 0  1  1 1 0
.. .. .. oo ox&#x   1  3 |  0  3   0  3 |  0  0   0  3  0   0   0  1 |  *  *  *   *   * 60  *  *  *  *  *  * | 0 0  0  0  0  0  2  1 0  0  0 0 | 0 0  0  1 2 0
.o3.x3.o .. ..      0  6 |  0  0  12  0 |  0  0   0  0  4   4   0  0 |  *  *  *   *   *  * 30  *  *  *  *  * | 0 0  1  0  0  0  0  0 1  1  0 0 | 0 1  1  0 0 1
.o3.x .. .. .x      0  6 |  0  0   6  3 |  0  0   0  0  2   0   3  0 |  *  *  *   *   *  *  * 60  *  *  *  * | 0 0  0  1  0  0  0  0 0  1  1 0 | 0 0  1  1 0 1
.. .x3.o3.o ..      0  4 |  0  0   6  0 |  0  0   0  0  0   4   0  0 |  *  *  *   *   *  *  *  * 30  *  *  * | 0 0  0  0  1  0  0  0 1  0  0 1 | 0 1  0  0 1 1
.. .x3.o .. .x      0  6 |  0  0   6  3 |  0  0   0  0  0   2   3  0 |  *  *  *   *   *  *  *  *  * 60  *  * | 0 0  0  0  0  1  0  0 0  1  0 1 | 0 0  1  0 1 1
.. .x .. .o3.x      0  6 |  0  0   3  6 |  0  0   0  0  0   0   3  2 |  *  *  *   *   *  *  *  *  *  * 60  * | 0 0  0  0  0  0  1  0 0  0  1 1 | 0 0  0  1 1 1
.. .. .o3.o3.x      0  4 |  0  0   0  6 |  0  0   0  0  0   0   0  4 |  *  *  *   *   *  *  *  *  *  *  * 15 | 0 0  0  0  0  0  0  1 0  0  0 2 | 0 0  0  0 2 1
------------------+-------+--------------+----------------------------+---------------------------------------+---------------------------------+--------------
o.3x.3o.3o. ..     10  0 | 30  0   0  0 | 10 20   0  0  0   0   0  0 |  5  5  0   0   0  0  0  0  0  0  0  0 | 6 *  *  *  *  *  *  * *  *  * * | 1 1  0  0 0 0
.. x.3o.3o.3o.      5  0 | 10  0   0  0 |  0 10   0  0  0   0   0  0 |  0  5  0   0   0  0  0  0  0  0  0  0 | * 6  *  *  *  *  *  * *  *  * * | 1 0  0  0 1 0
oo3xx3oo .. ..&#x   6  6 | 12  6  12  0 |  4  4  12  0  4   4   0  0 |  1  0  4   4   0  0  1  0  0  0  0  0 | * * 30  *  *  *  *  * *  *  * * | 0 1  1  0 0 0
oo3xx .. .. ox&#x   3  6 |  3  6   6  3 |  1  0   6  3  2   0   3  0 |  0  0  2   0   3  0  0  1  0  0  0  0 | * *  * 60  *  *  *  * *  *  * * | 0 0  1  1 0 0
.. xx3oo3oo ..&#x   4  4 |  6  4   6  0 |  0  4   6  0  0   4   0  0 |  0  1  0   4   0  0  0  0  1  0  0  0 | * *  *  * 30  *  *  * *  *  * * | 0 1  0  0 1 0
.. xx3oo .. ox&#x   3  6 |  3  6   6  3 |  0  1   6  3  0   2   3  0 |  0  0  0   2   3  0  0  0  0  1  0  0 | * *  *  *  * 60  *  * *  *  * * | 0 0  1  0 1 0
.. xx .. oo3ox&#x   2  6 |  1  6   3  6 |  0  0   3  6  0   0   3  2 |  0  0  0   0   3  2  0  0  0  0  1  0 | * *  *  *  *  * 60  * *  *  * * | 0 0  0  1 1 0
.. .. oo3oo3ox&#x   1  4 |  0  4   0  6 |  0  0   0  6  0   0   0  4 |  0  0  0   0   0  4  0  0  0  0  0  1 | * *  *  *  *  *  * 15 *  *  * * | 0 0  0  0 2 0
.o3.x3.o3.o ..      0 10 |  0  0  30  0 |  0  0   0  0 10  20   0  0 |  0  0  0   0   0  0  5  0  5  0  0  0 | * *  *  *  *  *  *  * 6  *  * * | 0 1  0  0 0 1
.o3.x3.o .. .x      0 12 |  0  0  24  6 |  0  0   0  0  8   8  12  0 |  0  0  0   0   0  0  2  4  0  4  0  0 | * *  *  *  *  *  *  * * 15  * * | 0 0  1  0 0 1
.o3.x .. .o3.x      0  9 |  0  0   9  9 |  0  0   0  0  3   0   9  3 |  0  0  0   0   0  0  0  3  0  0  3  0 | * *  *  *  *  *  *  * *  * 20 * | 0 0  0  1 0 1
.. .x3.o3.o3.x      0 20 |  0  0  30 30 |  0  0   0  0  0  20  30 20 |  0  0  0   0   0  0  0  0  5 10 10  5 | * *  *  *  *  *  *  * *  *  * 6 | 0 0  0  0 1 1
------------------+-------+--------------+----------------------------+---------------------------------------+---------------------------------+--------------
o.3x.3o.3o.3o.     15  0 | 60  0   0  0 | 20 60   0  0  0   0   0  0 | 15 30  0   0   0  0  0  0  0  0  0  0 | 6 6  0  0  0  0  0  0 0  0  0 0 | 1 *  *  * * *
oo3xx3oo3oo ..&#x  10 10 | 30 10  30  0 | 10 20  30  0 10  20   0  0 |  5  5 10  20   0  0  5  0  5  0  0  0 | 1 0  5  0  5  0  0  0 1  0  0 0 | * 6  *  * * *
oo3xx3oo .. ox&#x   6 12 | 12 12  24  6 |  4  4  24  6  8   8  12  0 |  1  0  8   8  12  0  2  4  0  4  0  0 | 0 0  2  4  0  4  0  0 0  1  0 0 | * * 15  * * *
oo3xx .. oo3ox&#x   3  9 |  3  9   9  9 |  1  0   9  9  3   0   9  3 |  0  0  3   0   9  3  0  3  0  0  3  0 | 0 0  0  3  0  0  3  0 0  0  1 0 | * *  * 20 * *
.. xx3oo3oo3ox&#x   5 20 | 10 20  30 30 |  0 10  30 30  0  20  30 20 |  0  5  0  20  30 20  0  0  5 10 10  5 | 0 1  0  0  5 10 10  5 0  0  0 1 | * *  *  * 6 *
.o3.x3.o3.o3.x      0 60 |  0  0 180 90 |  0  0   0  0 60 120 180 60 |  0  0  0   0   0  0 30 60 30 60 60 15 | 0 0  0  0  0  0  0  0 6 15 20 6 | * *  *  * * 1

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