Acronym rixascad
Name rectified hexateron atop small cellated dodecateron,
half of rectified hexacontitetrapeton (its rix-first rotunda)
Circumradius 1
Confer
uniform relative:
rag  
general polytopal classes:
segmentotera   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

ox3xo3oo3oo3ox&#x   → height = 1/sqrt(3) = 0.577350
(rix || scad)

o.3o.3o.3o.3o.    | 15  *   8   8  0  0 |  4 12  4  24  12  0  0  0 |  6  8 12  6  24  24   8  0  0  0  0 | 4 2 12 12  4  8 12  8  2 0  0  0  0 0 | 1 4  6  4  1 2 0
.o3.o3.o3.o3.o    |  * 30 |  0   4  4  4 |  0  0  4   6  12  6 12  6 |  0  0  6 12   4  12  12  4 12 12  4 | 0 0  4 12 12  1  4  6  4 1  4  6  4 1 | 0 1  4  6  4 1 1
------------------+-------+--------------+---------------------------+-------------------------------------+---------------------------------------+-----------------
.. x. .. .. ..    |  2  0 | 60   *  *  * |  1  3  0   3   0  0  0  0 |  3  3  3  0   6   3   0  0  0  0  0 | 3 1  6  3  0  3  3  1  0 0  0  0  0 0 | 1 3  3  1  0 1 0
oo3oo3oo3oo3oo&#x |  1  1 |  * 120  *  * |  0  0  1   3   3  0  0  0 |  0  0  3  3   3   6   3  0  0  0  0 | 0 0  3  6  3  1  3  3  1 0  0  0  0 0 | 0 1  3  3  1 1 0
.x .. .. .. ..    |  0  2 |  *   * 60  * |  0  0  1   0   0  3  3  0 |  0  0  3  3   0   0   0  3  6  3  0 | 0 0  3  6  3  0  0  0  0 1  3  3  1 0 | 0 1  3  3  1 0 1
.. .. .. .. .x    |  0  2 |  *   *  * 60 |  0  0  0   0   3  0  3  3 |  0  0  0  3   0   3   6  0  3  6  3 | 0 0  0  3  6  0  1  3  3 0  1  3  3 1 | 0 0  1  3  3 1 1
------------------+-------+--------------+---------------------------+-------------------------------------+---------------------------------------+-----------------
o.3x. .. .. ..    |  3  0 |  3   0  0  0 | 20  *  *   *   *  *  *  * |  3  0  3  0   0   0   0  0  0  0  0 | 3 0  6  3  0  0  0  0  0 0  0  0  0 0 | 1 3  3  1  0 0 0
.. x.3o. .. ..    |  3  0 |  3   0  0  0 |  * 60  *   *   *  *  *  * |  1  2  0  0   2   0   0  0  0  0  0 | 2 1  2  0  0  2  1  0  0 0  0  0  0 0 | 1 2  1  0  0 1 0
ox .. .. .. ..&#x |  1  2 |  0   2  1  0 |  *  * 60   *   *  *  *  * |  0  0  3  3   0   0   0  0  0  0  0 | 0 0  3  6  3  0  0  0  0 0  0  0  0 0 | 0 1  3  3  1 0 0
.. xo .. .. ..&#x |  2  1 |  1   2  0  0 |  *  *  * 180   *  *  *  * |  0  0  1  0   2   2   0  0  0  0  0 | 0 0  2  2  0  1  2  1  0 0  0  0  0 0 | 0 1  2  1  0 1 0
.. .. .. .. ox&#x |  1  2 |  0   2  0  1 |  *  *  *   * 180  *  *  * |  0  0  0  1   0   2   2  0  0  0  0 | 0 0  0  2  2  0  1  2  1 0  0  0  0 0 | 0 0  1  2  1 1 0
.x3.o .. .. ..    |  0  3 |  0   0  3  0 |  *  *  *   *   * 60  *  * |  0  0  1  0   0   0   0  2  2  0  0 | 0 0  2  2  0  0  0  0  0 1  2  1  0 0 | 0 1  2  1  0 0 1
.x .. .. .. .x    |  0  4 |  0   0  2  2 |  *  *  *   *   *  * 90  * |  0  0  0  1   0   0   0  0  2  2  0 | 0 0  0  2  2  0  0  0  0 0  1  2  1 0 | 0 0  1  2  1 0 1
.. .. .. .o3.x    |  0  3 |  0   0  0  3 |  *  *  *   *   *  *  * 60 |  0  0  0  0   0   0   2  0  0  2  2 | 0 0  0  0  2  0  0  1  2 0  0  1  2 1 | 0 0  0  1  2 1 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  0 0 | 1 2  1  0  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  0  1  0  0  0 0  0  0  0 0 | 1 1  0  0  0 1 0
ox3xo .. .. ..&#x   3  3 |  3   6  3  0 |  1  0  3   3   0  1  0  0 |  *  * 60  *   *   *   *  *  *  *  * | 0 0  2  2  0  0  0  0  0 0  0  0  0 0 | 0 1  2  1  0 0 0
ox .. .. .. ox&#x   1  4 |  0   4  2  2 |  0  0  2   0   2  0  1  0 |  *  *  * 90   *   *   *  *  *  *  * | 0 0  0  2  2  0  0  0  0 0  0  0  0 0 | 0 0  1  2  1 0 0
.. xo3oo .. ..&#x   3  1 |  3   3  0  0 |  0  1  0   3   0  0  0  0 |  *  *  *  * 120   *   *  *  *  *  * | 0 0  1  0  0  1  1  0  0 0  0  0  0 0 | 0 1  1  0  0 1 0
.. xo .. .. ox&#x   2  2 |  1   4  0  1 |  0  0  0   2   2  0  0  0 |  *  *  *  *   * 180   *  *  *  *  * | 0 0  0  1  0  0  1  1  0 0  0  0  0 0 | 0 0  1  1  0 1 0
.. .. .. oo3ox&#x   1  3 |  0   3  0  3 |  0  0  0   0   3  0  0  1 |  *  *  *  *   *   * 120  *  *  *  * | 0 0  0  0  1  0  0  1  1 0  0  0  0 0 | 0 0  0  1  1 1 0
.x3.o3.o .. ..      0  4 |  0   0  6  0 |  0  0  0   0   0  4  0  0 |  *  *  *  *   *   *   * 30  *  *  * | 0 0  1  0  0  0  0  0  0 1  1  0  0 0 | 0 1  1  0  0 0 1
.x3.o .. .. .x      0  6 |  0   0  6  3 |  0  0  0   0   0  2  3  0 |  *  *  *  *   *   *   *  * 60  *  * | 0 0  0  1  0  0  0  0  0 0  1  1  0 0 | 0 0  1  1  0 0 1
.x .. .. .o3.x      0  6 |  0   0  3  6 |  0  0  0   0   0  0  3  2 |  *  *  *  *   *   *   *  *  * 60  * | 0 0  0  0  1  0  0  0  0 0  0  1  1 0 | 0 0  0  1  1 0 1
.. .. .o3.o3.x      0  4 |  0   0  0  6 |  0  0  0   0   0  0  0  4 |  *  *  *  *   *   *   *  *  *  * 30 | 0 0  0  0  0  0  0  0  1 0  0  0  1 1 | 0 0  0  0  1 1 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 | 6 *  *  *  *  *  *  *  * *  *  *  * * | 1 1  0  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 | * 6  *  *  *  *  *  *  * *  *  *  * * | 1 0  0  0  0 1 0
ox3xo3oo .. ..&#x   6  4 | 12  12  6  0 |  4  4  6  12   0  4  0  0 |  1  0  4  0   4   0   0  1  0  0  0 | * * 30  *  *  *  *  *  * *  *  *  * * | 0 1  1  0  0 0 0
ox3xo .. .. ox&#x   3  6 |  3  12  6  3 |  1  0  6   6   6  2  3  0 |  0  0  2  3   0   3   0  0  1  0  0 | * *  * 60  *  *  *  *  * *  *  *  * * | 0 0  1  1  0 0 0
ox .. .. oo3ox&#x   1  6 |  0   6  3  6 |  0  0  3   0   6  0  3  2 |  0  0  0  3   0   0   2  0  0  1  0 | * *  *  * 60  *  *  *  * *  *  *  * * | 0 0  0  1  1 0 0
.. xo3oo3oo ..&#x   4  1 |  6   4  0  0 |  0  4  0   6   0  0  0  0 |  0  1  0  0   4   0   0  0  0  0  0 | * *  *  *  * 30  *  *  * *  *  *  * * | 0 1  0  0  0 1 0
.. xo3oo .. ox&#x   3  2 |  3   6  0  1 |  0  1  0   6   3  0  0  0 |  0  0  0  0   2   3   0  0  0  0  0 | * *  *  *  *  * 60  *  * *  *  *  * * | 0 0  1  0  0 1 0
.. xo .. oo3ox&#x   2  3 |  1   6  0  3 |  0  0  0   3   6  0  0  1 |  0  0  0  0   0   3   2  0  0  0  0 | * *  *  *  *  *  * 60  * *  *  *  * * | 0 0  0  1  0 1 0
.. .. oo3oo3ox&#x   1  4 |  0   4  0  6 |  0  0  0   0   6  0  0  4 |  0  0  0  0   0   0   4  0  0  0  1 | * *  *  *  *  *  *  * 30 *  *  *  * * | 0 0  0  0  1 1 0
.x3.o3.o3.o ..      0  5 |  0   0 10  0 |  0  0  0   0   0 10  0  0 |  0  0  0  0   0   0   0  5  0  0  0 | * *  *  *  *  *  *  *  * 6  *  *  * * | 0 1  0  0  0 0 1
.x3.o3.o .. .x      0  8 |  0   0 12  4 |  0  0  0   0   0  8  6  0 |  0  0  0  0   0   0   0  2  4  0  0 | * *  *  *  *  *  *  *  * * 15  *  * * | 0 0  1  0  0 0 1
.x3.o .. .o3.x      0  9 |  0   0  9  9 |  0  0  0   0   0  3  9  3 |  0  0  0  0   0   0   0  0  3  3  0 | * *  *  *  *  *  *  *  * *  * 20  * * | 0 0  0  1  0 0 1
.x .. .o3.o3.x      0  8 |  0   0  4 12 |  0  0  0   0   0  0  6  8 |  0  0  0  0   0   0   0  0  0  4  2 | * *  *  *  *  *  *  *  * *  *  * 15 * | 0 0  0  0  1 0 1
.. .o3.o3.o3.x      0  5 |  0   0  0 10 |  0  0  0   0   0  0  0 10 |  0  0  0  0   0   0   0  0  0  0  5 | * *  *  *  *  *  *  *  * *  *  *  * 6 | 0 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 | 6 6  0  0  0  0  0  0  0 0  0  0  0 0 | 1 *  *  *  * * *
ox3xo3oo3oo ..&#x  10  5 | 30  20 10  0 | 10 20 10  30   0 10  0  0 |  5  5 10  0  20   0   0  5  0  0  0 | 1 0  5  0  0  5  0  0  0 1  0  0  0 0 | * 6  *  *  * * *
ox3xo3oo .. ox&#x   6  8 | 12  24 12  4 |  4  4 12  24  12  8  6  0 |  1  0  8  6   8  12   0  2  4  0  0 | 0 0  2  4  0  0  4  0  0 0  1  0  0 0 | * * 15  *  * * *
ox3xo .. oo3ox&#x   3  9 |  3  18  9  9 |  1  0  9   9  18  3  9  3 |  0  0  3  9   0   9   6  0  3  3  0 | 0 0  0  3  3  0  0  3  0 0  0  1  0 0 | * *  * 20  * * *
ox .. oo3oo3ox&#x   1  8 |  0   8  4 12 |  0  0  4   0  12  0  6  8 |  0  0  0  6   0   0   8  0  0  4  2 | 0 0  0  0  4  0  0  0  2 0  0  0  1 0 | * *  *  * 15 * *
.. xo3oo3oo3ox&#x   5  5 | 10  20  0 10 |  0 10  0  30  30  0  0 10 |  0  5  0  0  20  30  20  0  0  0  5 | 0 1  0  0  0  5 10 10  5 0  0  0  0 1 | * *  *  *  * 6 *
.x3.o3.o3.o3.x      0 30 |  0   0 60 60 |  0  0  0   0   0 60 90 60 |  0  0  0  0   0   0   0 30 60 60 30 | 0 0  0  0  0  0  0  0  0 6 15 20 15 6 | * *  *  *  * * 1

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