Acronym hixadot
Name hexateron atop dodecateron,
hix-first half of hax
Circumradius sqrt(3)/2 = 0.866025
Confer
uniform relative:
hax  
related segmentopeta:
hixacube  
general polytopal classes:
segmentopeta   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

xo3oo3ox3oo3oo&#x   → height = 1/sqrt(3) = 0.577350
(hix || dot)

o.3o.3o.3o.3o.    | 6  *   5 10  0 | 10 20  30  0  0 | 10 10 30 10  20  0  0  0 | 5 10 20  5  5 0 0 | 1 5  5 1 0
.o3.o3.o3.o3.o    | * 20 |  0  3  9 |  0  3  18  9  9 |  0  1  9  9  18  3  9  3 | 0  3  9  9  6 3 3 | 0 3  3 3 1
------------------+------+----------+-----------------+--------------------------+-------------------+-----------
x. .. .. .. ..    | 2  0 | 15  *  *   4  4   0  0  0 |  6  4  6  0   0  0  0  0 | 4  6  4  0  0 0 0 | 1 4  1 0 0
oo3oo3oo3oo3oo&#x | 1  1 |  * 60  * |  0  2   6  0  0 |  0  1  6  3   6  0  0  0 | 0  3  6  3  2 0 0 | 0 3  2 1 0
.. .. .x .. ..    | 0  2 |  *  * 90 |  0  0   2  2  2 |  0  0  1  2   4  1  4  1 | 0  1  2  4  2 2 2 | 0 2  1 2 1
------------------+------+----------+-----------------+--------------------------+-------------------+-----------
x.3o. .. .. ..    | 3  0 |  3  0  0 | 20  *   *  *  * |  3  1  0  0   0  0  0  0 | 3  3  0  0  0 0 0 | 1 3  0 0 0
xo .. .. .. ..&#x | 2  1 |  1  2  0 |  * 60   *  *  * |  0  1  3  0   0  0  0  0 | 0  3  3  0  0 0 0 | 0 3  1 0 0
.. .. ox .. ..&#x | 1  2 |  0  2  1 |  *  * 180  *  * |  0  0  1  1   2  0  0  0 | 0  1  2  2  1 0 0 | 0 2  1 1 0
.. .o3.x .. ..    | 0  3 |  0  0  3 |  *  *   * 60  * |  0  0  0  1   0  1  2  0 | 0  1  0  2  0 2 1 | 0 2  0 1 1
.. .. .x3.o ..    | 0  3 |  0  0  3 |  *  *   *  * 60 |  0  0  0  0   2  0  2  1 | 0  0  1  2  2 1 2 | 0 1  1 2 1
------------------+------+----------+-----------------+--------------------------+-------------------+-----------
x.3o.3o. .. ..     4  0 |  6  0  0 |  4  0   0  0  0 | 15  *  *  *   *  *  *  * | 2  1  0  0  0 0 0 | 1 2  0 0 0
xo3oo .. .. ..&#x  3  1 |  3  3  0 |  1  3   0  0  0 |  * 20  *  *   *  *  *  * | 0  3  0  0  0 0 0 | 0 3  0 0 0
xo .. ox .. ..&#x  2  2 |  1  4  1 |  0  2   2  0  0 |  *  * 90  *   *  *  *  * | 0  1  2  0  0 0 0 | 0 2  1 0 0
.. oo3ox .. ..&#x  1  3 |  0  3  3 |  0  0   3  1  0 |  *  *  * 60   *  *  *  * | 0  1  0  2  0 0 0 | 0 2  0 1 0
.. .. ox3oo ..&#x  1  3 |  0  3  3 |  0  0   3  0  1 |  *  *  *  * 120  *  *  * | 0  0  1  1  1 0 0 | 0 1  1 1 0
.o3.o3.x .. ..     0  4 |  0  0  6 |  0  0   0  4  0 |  *  *  *  *   * 15  *  * | 0  1  0  0  0 2 0 | 0 2  0 0 1
.. o.3.x3.o ..     0  6 |  0  0 12 |  0  0   0  4  4 |  *  *  *  *   *  * 30  * | 0  0  0  1  0 1 1 | 0 1  0 1 1
.. .. .x3.o3.o     0  4 |  0  0  6 |  0  0   0  0  4 |  *  *  *  *   *  *  * 15 | 0  0  0  0  2 0 2 | 0 0  1 2 1
------------------+------+----------+-----------------+--------------------------+-------------------+-----------
x.3o.3o.3o. ..     5  0 | 10  0  0 | 10  0   0  0  0 |  5  0  0  0   0  0  0  0 | 6  *  *  *  * * * | 1 1  0 0 0
xo3oo3ox .. ..&#x  4  4 |  6 12  6 |  4 12  12  4  0 |  1  4  6  4   0  1  0  0 | * 15  *  *  * * * | 0 2  0 0 0
xo .. ox3oo ..&#x  2  3 |  1  6  3 |  0  3   6  0  1 |  0  0  3  0   2  0  0  0 | *  * 60  *  * * * | 0 1  1 0 0
.. oo3ox3oo ..&#x  1  6 |  0  6 12 |  0  0  12  4  4 |  0  0  0  4   4  0  1  0 | *  *  * 30  * * * | 0 1  0 1 0
.. .. ox3oo3oo&#x  1  4 |  0  4  6 |  0  0   6  0  4 |  0  0  0  0   4  0  0  1 | *  *  *  * 30 * * | 0 0  1 1 0
.o3.o3.x3.o ..     0 10 |  0  0 30 |  0  0   0 20 10 |  0  0  0  0   0  5  5  0 | *  *  *  *  * 6 * | 0 1  0 0 1
.. .o3.x3.o3.o     0 10 |  0  0 30 |  0  0   0 10 20 |  0  0  0  0   0  0  5  5 | *  *  *  *  * * 6 | 0 0  0 1 1
------------------+------+----------+-----------------+--------------------------+-------------------+-----------
x.3o.3o.3o.3o.     6  0 | 15  0  0 | 20  0   0  0  0 | 15  0  0  0   0  0  0  0 | 6  0  0  0  0 0 0 | 1 *  * * *
xo3oo3ox3oo ..&#x  5 10 | 10 30 30 | 10 30  60 20 10 |  5 10 30 20  20  5  5  0 | 1  5 10  5  0 1 0 | * 6  * * *
xo .. ox3oo3oo&#x  2  4 |  1  8  6 |  0  4  12  0  4 |  0  0  6  0   8  0  0  1 | 0  0  4  0  2 0 0 | * * 15 * *
.. oo3ox3oo3oo&#x  1 10 |  0 10 30 |  0  0  30 10 20 |  0  0  0 10  20  0  5  5 | 0  0  0  5  5 0 1 | * *  * 6 *
.o3.o3.x3.o3.o     0 20 |  0  0 90 |  0  0   0 60 60 |  0  0  0  0   0 15 30 15 | 0  0  0  0  0 6 6 | * *  * * 1

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