Acronym rixasc Name rectified-hexateronal scalene,rectified-hexateronal-pyramid pyramid,line atop fully orthogonal rectified-hexateron Circumradius 1 Confer general polytopal classes: segmentoexa   scalene

Incidence matrix according to Dynkin symbol

```xo oo3ox3oo3oo3oo&#x   → height = 1/sqrt(12) = 0.288675
(line || perp rix)

o. o.3o.3o.3o.3o.    | 2  * ♦ 1 15  0 | 15  60  0  0 | 60 20  60  0  0 | 20 60 15 30 0 0 | 15 30  6  6 0 | 6 6 1
.o .o3.o3.o3.o3.o    | * 15 ♦ 0  2  8 |  1  16  4 12 |  8  8  24  6  8 |  4 12 12 16 4 2 |  6  8  8  4 1 | 4 2 2
---------------------+------+---------+--------------+-----------------+-----------------+---------------+------
x. .. .. .. .. ..    | 2  0 | 1  *  * ♦ 15   0  0  0 | 60  0   0  0  0 | 20 60  0  0 0 0 | 15 30  0  0 0 | 6 6 0
oo oo3oo3oo3oo3oo&#x | 1  1 | * 30  * ♦  1   8  0  0 |  8  4  12  0  0 |  4 12  6  8 0 0 |  6  8  4  2 0 | 4 2 1
.. .. .x .. .. ..    | 0  2 | *  * 60 |  0   2  1  3 |  1  2   6  3  3 |  1  3  6  6 3 1 |  3  3  6  2 1 | 3 1 2
---------------------+------+---------+--------------+-----------------+-----------------+---------------+------
xo .. .. .. .. ..&#x | 2  1 | 1  2  0 | 15   *  *  * ♦  8  0   0  0  0 |  4 12  0  0 0 0 |  6  8  0  0 0 | 4 2 0
.. .. ox .. .. ..&#x | 1  2 | 0  2  1 |  * 120  *  * |  1  1   3  0  0 |  1  3  3  3 0 0 |  3  3  3  1 0 | 3 1 1
.. .o3.x .. .. ..    | 0  3 | 0  0  3 |  *   * 20  * |  0  2   0  3  0 |  1  0  6  0 3 0 |  3  0  6  0 1 | 3 0 2
.. .. .x3.o .. ..    | 0  3 | 0  0  3 |  *   *  * 60 |  0  0   2  1  2 |  0  1  2  4 2 1 |  1  2  4  2 1 | 2 1 2
---------------------+------+---------+--------------+-----------------+-----------------+---------------+------
xo .. ox .. .. ..&#x ♦ 2  2 | 1  4  1 |  2   2  0  0 | 60  *   *  *  * |  1  3  0  0 0 0 |  3  3  0  0 0 | 3 1 0
.. oo3ox .. .. ..&#x ♦ 1  3 | 0  3  3 |  0   3  1  0 |  * 40   *  *  * |  1  0  3  0 0 0 |  3  0  3  0 0 | 3 0 1
.. .. ox3oo .. ..&#x ♦ 1  3 | 0  3  3 |  0   3  0  1 |  *  * 120  *  * |  0  1  1  2 0 0 |  1  2  2  1 0 | 2 1 1
.. .o3.x3.o .. ..    ♦ 0  6 | 0  0 12 |  0   0  4  4 |  *  *   * 15  * |  0  0  2  0 2 0 |  1  0  4  0 1 | 2 0 2
.. .. .x3.o3.o ..    ♦ 0  4 | 0  0  6 |  0   0  0  4 |  *  *   *  * 30 |  0  0  0  2 1 1 |  0  1  2  2 1 | 1 1 2
---------------------+------+---------+--------------+-----------------+-----------------+---------------+------
xo oo3ox .. .. ..&#x ♦ 2  3 | 1  6  3 |  3   6  1  0 |  3  2   0  0  0 | 20  *  *  * * * |  3  0  0  0 0 | 3 0 0
xo .. ox3oo .. ..&#x ♦ 2  3 | 1  6  3 |  3   6  0  1 |  3  0   2  0  0 |  * 60  *  * * * |  1  2  0  0 0 | 2 1 0
.. oo3ox3oo .. ..&#x ♦ 1  6 | 0  6 12 |  0  12  4  4 |  0  4   4  1  0 |  *  * 30  * * * |  1  0  2  0 0 | 2 0 1
.. .. ox3oo3oo ..&#x ♦ 1  4 | 0  4  6 |  0   6  0  4 |  0  0   4  0  1 |  *  *  * 60 * * |  0  1  1  1 0 | 1 1 1
.. .o3.x3.o3.o ..    ♦ 0 10 | 0  0 30 |  0   0 10 20 |  0  0   0  5  5 |  *  *  *  * 6 * |  0  0  2  0 1 | 1 0 2
.. .. .x3.o3.o3.o    ♦ 0  5 | 0  0 10 |  0   0  0 10 |  0  0   0  0  5 |  *  *  *  * * 6 |  0  0  0  2 1 | 0 1 2
---------------------+------+---------+--------------+-----------------+-----------------+---------------+------
xo oo3ox3oo .. ..&#x ♦ 2  6 | 1 12 12 |  6  24  4  4 | 12  8   8  1  0 |  4  4  2  0 0 0 | 15  *  *  * * | 2 0 0
xo .. ox3oo3oo ..&#x ♦ 2  4 | 1  8  6 |  4  12  0  4 |  6  0   8  0  1 |  0  4  0  2 0 0 |  * 30  *  * * | 1 1 0
.. oo3ox3oo3oo ..&#x ♦ 1 10 | 0 10 30 |  0  30 10 20 |  0 10  20  5  5 |  0  0  5  5 1 0 |  *  * 12  * * | 1 0 1
.. .. ox3oo3oo3oo&#x ♦ 1  5 | 0  5 10 |  0  10  0 10 |  0  0  10  0  5 |  0  0  0  5 0 1 |  *  *  * 12 * | 0 1 1
.. .o3.x3.o3.o3.o    ♦ 0 15 | 0  0 60 |  0   0 20 60 |  0  0   0 15 30 |  0  0  0  0 6 6 |  *  *  *  * 1 | 0 0 2
---------------------+------+---------+--------------+-----------------+-----------------+---------------+------
xo oo3ox3oo3oo ..&#x ♦ 2 10 | 1 20 30 | 10  60 10 20 | 30 20  40  5  5 | 10 20 10 10 1 0 |  5  5  2  0 0 | 6 * *
xo .. ox3oo3oo3oo&#x ♦ 2  5 | 1 10 10 |  5  20  0 10 | 10  0  20  0  5 |  0 10  0 10 0 1 |  0  5  0  2 0 | * 6 *
.. oo3ox3oo3oo3oo&#x ♦ 1 15 | 0 15 60 |  0  60 20 60 |  0 20  60 15 30 |  0  0 15 30 6 6 |  0  0  6  6 1 | * * 2
```