This polyexon also can be obtained as a partial Stott expansion of jakpy.

Incidence matrix according to Dynkin symbol

xx3oo3oo3oo3ox *c3oo&#x   → height = 1/sqrt(3) = 0.577350
(jak || trim)

o.3o.3o.3o.3o. *c3o.    | 27   * |  16  10    0    0 |  80   80   40    0    0    0 |  160  240  160   80    0    0    0    0 |  80  40  320  240  160   80   0    0   0   0    0   0   0 | 16 10  80  160  80  80   80  16  16  0  0   0   0  0 | 1 16 10  40  16  1 0
.o3.o3.o3.o3.o *c3.o    |  * 270 |   0   1    8    8 |   0    8    8   24   32   24 |    0   24   32   24   32   48   48   32 |   0   0   32   48   48   32   8   32   8  24   32   8   8 |  0  0   8   32   8  24   32   8   8  8  1   8   8  1 | 0  8  1   8   8  1 1
------------------------+--------+-------------------+------------------------------+-----------------------------------------+-----------------------------------------------------------+------------------------------------------------------+---------------------
x. .. .. .. ..    ..    |  2   0 | 216   *    *    * |  10    5    0    0    0    0 |   30   30   10    0    0    0    0    0 |  20  10   60   30   10    0   0    0   0   0    0   0   0 |  5  5  20   30  20  10    5   0   0  0  0   0   0  0 | 1  5  5  10   1  0 0
oo3oo3oo3oo3oo *c3oo&#x |  1   1 |   * 270    *    * |   0    8    8    0    0    0 |    0   24   32   24    0    0    0    0 |   0   0   32   48   48   32   0    0   0   0    0   0   0 |  0  0   8   32   8  24   32   8   8  0  0   0   0  0 | 0  8  1   8   8  1 0
.x .. .. .. ..    ..    |  0   2 |   *   * 1080    * |   0    1    0    6    4    0 |    0    6    4    0   12   12    6    0 |   0   0   12   12    6    0   4   12   4   6    4   0   0 |  0  0   4   12   4   6    4   0   0  4  1   4   1  0 | 0  4  1   4   1  0 1
.. .. .. .. .x    ..    |  0   2 |   *   *    * 1080 |   0    0    1    0    4    6 |    0    0    4    6    0    6   12   12 |   0   0    0    6   12   12   0    4   0   6   12   4   4 |  0  0   0    4   0   6   12   4   4  4  0   1   4  1 | 0  4  0   1   4  1 1
------------------------+--------+-------------------+------------------------------+-----------------------------------------+-----------------------------------------------------------+------------------------------------------------------+---------------------
x.3o. .. .. ..    ..    |  3   0 |   3   0    0    0 | 720    *    *    *    *    * |    6    3    0    0    0    0    0    0 |   6   3   12    3    0    0   0    0   0   0    0   0   0 |  2  3   6    6   6   1    0   0   0  0  0   0   0  0 | 1  2  3   3   0  0 0
xx .. .. .. ..    ..&#x |  2   2 |   1   2    1    0 |   * 1080    *    *    *    * |    0    6    4    0    0    0    0    0 |   0   0   12   12    6    0   0    0   0   0    0   0   0 |  0  0   4   12   4   6    4   0   0  0  0   0   0  0 | 0  4  1   4   1  0 0
.. .. .. .. ox    ..&#x |  1   2 |   0   2    0    1 |   *    * 1080    *    *    * |    0    0    4    6    0    0    0    0 |   0   0    0    6   12   12   0    0   0   0    0   0   0 |  0  0   0    4   0   6   12   4   4  0  0   0   0  0 | 0  4  0   1   4  1 0
.x3.o .. .. ..    ..    |  0   3 |   0   0    3    0 |   *    *    * 2160    *    * |    0    1    0    0    4    2    0    0 |   0   0    4    2    0    0   2    4   2   1    0   0   0 |  0  0   2    4   2   1    0   0   0  2  1   2   0  0 | 0  2  1   2   0  0 1
.x .. .. .. .x    ..    |  0   4 |   0   0    2    2 |   *    *    *    * 2160    * |    0    0    1    0    0    3    3    0 |   0   0    0    3    3    0   0    3   0   3    3   0   0 |  0  0   0    3   0   3    3   0   0  3  0   1   1  0 | 0  3  0   1   1  0 1
.. .. .. .o3.x    ..    |  0   3 |   0   0    0    3 |   *    *    *    *    * 2160 |    0    0    0    1    0    0    2    4 |   0   0    0    0    2    4   0    0   0   1    4   2   2 |  0  0   0    0   0   1    4   2   2  2  0   0   2  1 | 0  2  0   0   2  1 1
------------------------+--------+-------------------+------------------------------+-----------------------------------------+-----------------------------------------------------------+------------------------------------------------------+---------------------
x.3o.3o. .. ..    ..    ♦  4   0 |   6   0    0    0 |   4    0    0    0    0    0 | 1080    *    *    *    *    *    *    * |   2   1    2    0    0    0   0    0   0   0    0   0   0 |  1  2   2    1   2   0    0   0   0  0  0   0   0  0 | 1  1  2   1   0  0 0
xx3oo .. .. ..    ..&#x ♦  3   3 |   3   3    3    0 |   1    3    0    1    0    0 |    * 2160    *    *    *    *    *    * |   0   0    4    2    0    0   0    0   0   0    0   0   0 |  0  0   2    4   2   1    0   0   0  0  0   0   0  0 | 0  2  1   2   0  0 0
xx .. .. .. ox    ..&#x ♦  2   4 |   1   4    2    2 |   0    2    2    0    1    0 |    *    * 2160    *    *    *    *    * |   0   0    0    3    3    0   0    0   0   0    0   0   0 |  0  0   0    3   0   3    3   0   0  0  0   0   0  0 | 0  3  0   1   1  0 0
.. .. .. oo3ox    ..&#x ♦  1   3 |   0   3    0    3 |   0    0    3    0    0    1 |    *    *    * 2160    *    *    *    * |   0   0    0    0    2    4   0    0   0   0    0   0   0 |  0  0   0    0   0   1    4   2   2  0  0   0   0  0 | 0  2  0   0   2  1 0
.x3.o3.o .. ..    ..    ♦  0   4 |   0   0    6    0 |   0    0    0    4    0    0 |    *    *    *    * 2160    *    *    * |   0   0    1    0    0    0   1    1   1   0    0   0   0 |  0  0   1    1   1   0    0   0   0  1  1   1   0  0 | 0  1  1   1   0  0 1
.x3.o .. .. .x    ..    ♦  0   6 |   0   0    6    3 |   0    0    0    2    3    0 |    *    *    *    *    * 2160    *    * |   0   0    0    1    0    0   0    2   0   1    0   0   0 |  0  0   0    2   0   1    0   0   0  2  0   1   0  0 | 0  2  0   1   0  0 1
.x .. .. .o3.x    ..    ♦  0   6 |   0   0    3    6 |   0    0    0    0    3    2 |    *    *    *    *    *    * 2160    * |   0   0    0    0    1    0   0    0   0   1    2   0   0 |  0  0   0    0   0   1    2   0   0  2  0   0   1  0 | 0  2  0   0   1  0 1
.. .. .o3.o3.x    ..    ♦  0   4 |   0   0    0    6 |   0    0    0    0    0    4 |    *    *    *    *    *    *    * 2160 |   0   0    0    0    0    1   0    0   0   0    1   1   1 |  0  0   0    0   0   0    1   1   1  1  0   0   1  1 | 0  1  0   0   1  1 1
------------------------+--------+-------------------+------------------------------+-----------------------------------------+-----------------------------------------------------------+------------------------------------------------------+---------------------
x.3o.3o.3o. ..    ..    ♦  5   0 |  10   0    0    0 |  10    0    0    0    0    0 |    5    0    0    0    0    0    0    0 | 432   *    *    *    *    *   *    *   *   *    *   *   * |  1  1   1    0   0   0    0   0   0  0  0   0   0  0 | 1  1  1   0   0  0 0
x.3o.3o. .. .. *c3o.    ♦  5   0 |  10   0    0    0 |  10    0    0    0    0    0 |    5    0    0    0    0    0    0    0 |   * 216    *    *    *    *   *    *   *   *    *   *   * |  0  2   0    0   2   0    0   0   0  0  0   0   0  0 | 1  0  2   1   0  0 0
xx3oo3oo .. ..    ..&#x ♦  4   4 |   6   4    6    0 |   4    6    0    4    0    0 |    1    4    0    0    1    0    0    0 |   *   * 2160    *    *    *   *    *   *   *    *   *   * |  0  0   1    1   1   0    0   0   0  0  0   0   0  0 | 0  1  1   1   0  0 0
xx3oo .. .. ox    ..&#x ♦  3   6 |   3   6    6    3 |   1    6    3    2    3    0 |    0    2    3    0    0    1    0    0 |   *   *    * 2160    *    *   *    *   *   *    *   *   * |  0  0   0    2   0   1    0   0   0  0  0   0   0  0 | 0  2  0   1   0  0 0
xx .. .. oo3ox    ..&#x ♦  2   6 |   1   6    3    6 |   0    3    6    0    3    2 |    0    0    3    2    0    0    1    0 |   *   *    *    * 2160    *   *    *   *   *    *   *   * |  0  0   0    0   0   1    2   0   0  0  0   0   0  0 | 0  2  0   0   1  0 0
.. .. oo3oo3ox    ..&#x ♦  1   4 |   0   4    0    6 |   0    0    6    0    0    4 |    0    0    0    4    0    0    0    1 |   *   *    *    *    * 2160   *    *   *   *    *   *   * |  0  0   0    0   0   0    1   1   1  0  0   0   0  0 | 0  1  0   0   1  1 0
.x3.o3.o3.o ..    ..    ♦  0   5 |   0   0   10    0 |   0    0    0   10    0    0 |    0    0    0    0    5    0    0    0 |   *   *    *    *    *    * 432    *   *   *    *   *   * |  0  0   1    0   0   0    0   0   0  1  1   0   0  0 | 0  1  1   0   0  0 1
.x3.o3.o .. .x    ..    ♦  0   8 |   0   0   12    4 |   0    0    0    8    6    0 |    0    0    0    0    2    4    0    0 |   *   *    *    *    *    *   * 1080   *   *    *   *   * |  0  0   0    1   0   0    0   0   0  1  0   1   0  0 | 0  1  0   1   0  0 1
.x3.o3.o .. .. *c3.o    ♦  0   5 |   0   0   10    0 |   0    0    0   10    0    0 |    0    0    0    0    5    0    0    0 |   *   *    *    *    *    *   *    * 432   *    *   *   * |  0  0   0    0   1   0    0   0   0  0  1   1   0  0 | 0  0  1   1   0  0 1
.x3.o .. .o3.x    ..    ♦  0   9 |   0   0    9    9 |   0    0    0    3    9    3 |    0    0    0    0    0    3    3    0 |   *   *    *    *    *    *   *    *   * 720    *   *   * |  0  0   0    0   0   1    0   0   0  2  0   0   0  0 | 0  2  0   0   0  0 1
.x .. .o3.o3.x    ..    ♦  0   8 |   0   0    4   12 |   0    0    0    0    6    8 |    0    0    0    0    0    0    4    2 |   *   *    *    *    *    *   *    *   *   * 1080   *   * |  0  0   0    0   0   0    1   0   0  1  0   0   1  0 | 0  1  0   0   1  0 1
.. .o3.o3.o3.x    ..    ♦  0   5 |   0   0    0   10 |   0    0    0    0    0   10 |    0    0    0    0    0    0    0    5 |   *   *    *    *    *    *   *    *   *   *    * 432   * |  0  0   0    0   0   0    0   1   0  1  0   0   0  1 | 0  1  0   0   0  1 1
.. .. .o3.o3.x *c3.o    ♦  0   5 |   0   0    0   10 |   0    0    0    0    0   10 |    0    0    0    0    0    0    0    5 |   *   *    *    *    *    *   *    *   *   *    *   * 432 |  0  0   0    0   0   0    0   0   1  0  0   0   1  1 | 0  0  0   0   1  1 1
------------------------+--------+-------------------+------------------------------+-----------------------------------------+-----------------------------------------------------------+------------------------------------------------------+---------------------
x.3o.3o.3o.3o.    ..    ♦  6   0 |  15   0    0    0 |  20    0    0    0    0    0 |   15    0    0    0    0    0    0    0 |   6   0    0    0    0    0   0    0   0   0    0   0   0 | 72  *   *    *   *   *    *   *   *  *  *   *   *  * | 1  1  0   0   0  0 0
x.3o.3o.3o. .. *c3o.    ♦ 10   0 |  40   0    0    0 |  80    0    0    0    0    0 |   80    0    0    0    0    0    0    0 |  16  16    0    0    0    0   0    0   0   0    0   0   0 |  * 27   *    *   *   *    *   *   *  *  *   *   *  * | 1  0  1   0   0  0 
xx3oo3oo3oo ..    ..&#x ♦  5   5 |  10   5   10    0 |  10   10    0   10    0    0 |    5   10    0    0    5    0    0    0 |   1   0    5    0    0    0   1    0   0   0    0   0   0 |  *  * 432    *   *   *    *   *   *  *  *   *   *  * | 0  1  1   0   0  0 0
xx3oo3oo .. ox    ..&#x ♦  4   8 |   6   8   12    4 |   4   12    4    8    6    0 |    1    8    6    0    2    4    0    0 |   0   0    2    4    0    0   0    1   0   0    0   0   0 |  *  *   * 1080   *   *    *   *   *  *  *   *   *  * | 0  1  0   1   0  0 0
xx3oo3oo .. .. *c3oo&#x ♦  5   5 |  10   5   10    0 |  10   10    0   10    0    0 |    5   10    0    0    5    0    0    0 |   0   1    5    0    0    0   0    0   1   0    0   0   0 |  *  *   *    * 432   *    *   *   *  *  *   *   *  * | 0  0  1   1   0  0 0
xx3oo .. oo3ox    ..&#x ♦  3   9 |   3   9    9    9 |   1    9    9    3    9    3 |    0    3    9    3    0    3    3    0 |   0   0    0    3    3    0   0    0   0   1    0   0   0 |  *  *   *    *   * 720    *   *   *  *  *   *   *  * | 0  2  0   0   0  0 0
xx .. oo3oo3ox    ..&#x ♦  2   8 |   1   8    4   12 |   0    4   12    0    6    8 |    0    0    6    8    0    0    4    2 |   0   0    0    0    4    2   0    0   0   0    1   0   0 |  *  *   *    *   *   * 1080   *   *  *  *   *   *  * | 0  1  0   0   1  0 0
.. oo3oo3oo3ox    ..&#x ♦  1   5 |   0   5    0   10 |   0    0   10    0    0   10 |    0    0    0   10    0    0    0    5 |   0   0    0    0    0    5   0    0   0   0    0   1   0 |  *  *   *    *   *   *    * 432   *  *  *   *   *  * | 0  1  0   0   0  1 0
.. .. oo3oo3ox *c3oo&#x ♦  1   5 |   0   5    0   10 |   0    0   10    0    0   10 |    0    0    0   10    0    0    0    5 |   0   0    0    0    0    5   0    0   0   0    0   0   1 |  *  *   *    *   *   *    *   * 432  *  *   *   *  * | 0  0  0   0   1  1 0
.x3.o3.o3.o3.x    ..    ♦  0  30 |   0   0   60   60 |   0    0    0   60   90   60 |    0    0    0    0   30   60   60   30 |   0   0    0    0    0    0   6   15   0  20   15   6   0 |  *  *   *    *   *   *    *   *   * 72  *   *   *  * | 0  1  0   0   0  0 1
.x3.o3.o3.o .. *c3.o    ♦  0  10 |   0   0   40    0 |   0    0    0   80    0    0 |    0    0    0    0   80    0    0    0 |   0   0    0    0    0    0  16    0  16   0    0   0   0 |  *  *   *    *   *   *    *   *   *  * 27   *   *  * | 0  0  1   0   0  0 1
.x3.o3.o .. .x *c3.o    ♦  0  10 |   0   0   20    5 |   0    0    0   20   10    0 |    0    0    0    0   10   10    0    0 |   0   0    0    0    0    0   0    5   2   0    0   0   0 |  *  *   *    *   *   *    *   *   *  *  * 216   *  * | 0  0  0   1   0  0 1
.x .. .o3.o3.x *c3.o    ♦  0  10 |   0   0    5   20 |   0    0    0    0   10   20 |    0    0    0    0    0    0   10   10 |   0   0    0    0    0    0   0    0   0   0    5   0   2 |  *  *   *    *   *   *    *   *   *  *  *   * 216  * | 0  0  0   0   1  0 1
.. .o3.o3.o3.x *c3.o    ♦  0  10 |   0   0    0   40 |   0    0    0    0    0   80 |    0    0    0    0    0    0    0   80 |   0   0    0    0    0    0   0    0   0   0    0  16  16 |  *  *   *    *   *   *    *   *   *  *  *   *   * 27 | 0  0  0   0   0  1 1
------------------------+--------+-------------------+------------------------------+-----------------------------------------+-----------------------------------------------------------+------------------------------------------------------+---------------------
x.3o.3o.3o.3o. *c3o.    ♦ 27   0 | 216   0    0    0 | 720    0    0    0    0    0 | 1080    0    0    0    0    0    0    0 | 432 216    0    0    0    0   0    0   0   0    0   0   0 | 72 27   0    0   0   0    0   0   0  0  0   0   0  0 | 1  *  *   *   *  * *
xx3oo3oo3oo3ox    ..&#x ♦  6  30 |  15  30   60   60 |  20   60   60   60   90   60 |   15   60   90   60   30   60   60   30 |   6   0   30   60   60   30   6   15   0  20   15   6   0 |  1  0   6   15   0  20   15   6   0  1  0   0   0  0 | * 72  *   *   *  * *
xx3oo3oo3oo .. *c3oo&#x ♦ 10  10 |  40  10   40    0 |  80   40    0   80    0    0 |   80   80    0    0   80    0    0    0 |  16  16   80    0    0    0  16    0  16   0    0   0   0 |  0  1  16    0  16   0    0   0   0  0  1   0   0  0 | *  * 27   *   *  * *
xx3oo3oo .. ox *c3oo&#x ♦  5  10 |  10  10   20    5 |  10   20    5   20   10    0 |    5   20   10    0   10   10    0    0 |   0   1   10   10    0    0   0    5   2   0    0   0   0 |  0  0   0    5   2   0    0   0   0  0  0   1   0  0 | *  *  * 216   *  * *
xx .. oo3oo3ox *c3oo&#x ♦  2  10 |   1  10    5   20 |   0    5   20    0   10   20 |    0    0   10   20    0    0   10   10 |   0   0    0    0   10   10   0    0   0   0    5   0   2 |  0  0   0    0   0   0    5   0   2  0  0   0   1  0 | *  *  *   * 216  * *
.. oo3oo3oo3ox *c3oo&#x ♦  1  10 |   0  10    0   40 |   0    0   40    0    0   80 |    0    0    0   80    0    0    0   80 |   0   0    0    0    0   80   0    0   0   0    0  16  16 |  0  0   0    0   0   0    0  16  16  0  0   0   0  1 | *  *  *   *   * 27 *
.x3.o3.o3.o3.x *c3.o    ♦  0 270 |   0   0 1080 1080 |   0    0    0 2160 2160 2160 |    0    0    0    0 2160 2162 2160 2160 |   0   0    0    0    0    0 432 1080 432 720 1080 432 432 |  0  0   0    0   0   0    0   0   0 72 27 216 216 27 | *  *  *   *   *  * 1