This polyexon can either be decomposed equatorially into 2 haxpies or alternatively, kind like a 7D orange, into 12 hinscs plus 32 ocas. (The blend of these 2 decompositions of haxt, blending out the boundary cells of haxt, then would be the degenerate 8D segmentoyotton haxesc.)

Incidence matrix according to Dynkin symbol

oxo3ooo3ooo *b3ooo3ooo3ooo&#xt   → both heights = 1/2
(pt || pseudo hax || pt)

o..3o..3o.. *b3o..3o..3o..     & | 2  * ♦ 32   0 | 240   0 |  640   0   0 | 160 480  0   0 |  60 192  0  0 | 12 32
.o.3.o.3.o. *b3.o.3.o.3.o.       | * 32 |  2  15 |  30  60 |  120  20  60 |  40 120 15  30 |  30  60  6  6 | 12 12
---------------------------------+------+--------+---------+--------------+----------------+---------------+------
oo.3oo.3oo. *b3oo.3oo.3oo.&#x  & | 1  1 | 64   * ♦  15   0 |   60   0   0 |  20  60  0   0 |  15  30  0  0 |  6  6
.x. ... ...    ... ... ...       | 0  2 |  * 240 |   2   8 |   16   4  12 |   8  24  6   8 |  12  16  4  2 |  8  4
---------------------------------+------+--------+---------+--------------+----------------+---------------+------
ox. ... ...    ... ... ...&#x  & | 1  2 |  2   1 | 480   * ♦    8   0   0 |   4  12  0   0 |   6   8  0  0 |  4  2
.x.3.o. ...    ... ... ...       | 0  3 |  0   3 |   * 640 |    2   1   3 |   2   6  3   3 |   6   6  3  1 |  6  2
---------------------------------+------+--------+---------+--------------+----------------+---------------+------
ox.3oo. ...    ... ... ...&#x  & ♦ 1  3 |  3   3 |   3   1 | 1280   *   * |   1   3  0   0 |   3   3  0  0 |  3  1
.x.3.o.3.o.    ... ... ...       ♦ 0  4 |  0   6 |   0   4 |    * 160   * |   2   0  3   0 |   6   0  3  0 |  6  0
.x.3.o. ... *b3.o. ... ...       ♦ 0  4 |  0   6 |   0   4 |    *   * 480 |   0   2  1   2 |   2   4  2  1 |  4  2
---------------------------------+------+--------+---------+--------------+----------------+---------------+------
ox.3oo.3oo.    ... ... ...&#x  & ♦ 1  4 |  4   6 |   6   4 |    4   1   0 | 320   *  *   * |   3   0  0  0 |  3  0
ox.3oo. ... *b3oo. ... ...&#x  & ♦ 1  4 |  4   6 |   6   4 |    4   0   1 |   * 960  *   * |   1   2  0  0 |  2  1
.x.3.o.3.o. *b3.o. ... ...       ♦ 0  8 |  0  24 |   0  32 |    0   8   8 |   *   * 60   * |   2   0  2  0 |  4  0
.x.3.o. ... *b3.o.3.o. ...       ♦ 0  5 |  0  10 |   0  10 |    0   0   5 |   *   *  * 192 |   0   2  1  1 |  2  2
---------------------------------+------+--------+---------+--------------+----------------+---------------+------
ox.3oo.3oo. *b3oo. ... ...&#x  & ♦ 1  8 |  8  24 |  24  32 |   32   8   8 |   8   8  1   0 | 120   *  *  * |  2  0
ox.3oo. ... *b3oo.3oo. ...&#x  & ♦ 1  5 |  5  10 |  10  10 |   10   0   5 |   0   5  0   1 |   * 384  *  * |  1  1
.x.3.o.3.o. *b3.o.3.o. ...       ♦ 0 16 |  0  80 |   0 160 |    0  40  80 |   0   0 10  16 |   *   * 12  * |  2  0
.x.3.o. ... *b3.o.3.o.3.o.       ♦ 0  6 |  0  15 |   0  20 |    0   0  15 |   0   0  0   6 |   *   *  * 32 |  0  2
---------------------------------+------+--------+---------+--------------+----------------+---------------+------
ox.3oo.3oo. *b3oo.3oo. ...&#x  & ♦ 1 16 | 16  80 |  80 160 |  160  40  80 |  40  80 10  16 |  10  16  1  0 | 24  *
ox.3oo. ... *b3oo.3oo.3oo.&#x  & ♦ 1  6 |  6  15 |  15  20 |   20   0  15 |   0  15  0   6 |   0   6  0  1 |  * 64

xo ox3oo3oo *c3oo3oo3oo&#zx   → height = 0
(tegum product of line with hax)

o. o.3o.3o. *c3o.3o.3o.     | 2  * ♦ 32   0 | 240   0 |  640   0   0 | 160 480  0   0 |  60 192  0  0 | 12 32
.o .o3.o3.o *c3.o3.o3.o     | * 32 |  2  15 |  30  60 |  120  20  60 |  40 120 15  30 |  30  60  6  6 | 12 12
----------------------------+------+--------+---------+--------------+----------------+---------------+------
oo oo3oo3oo *c3oo3oo3oo&#x  | 1  1 | 64   * |  15   0 ♦   60   0   0 |  20  60  0   0 |  15  30  0  0 |  6  6
.. .x .. ..    .. .. ..     | 0  2 |  * 240 |   2   8 |   16   4  12 |   8  24  6   8 |  12  16  4  2 |  8  4
----------------------------+------+--------+---------+--------------+----------------+---------------+------
.. ox .. ..    .. .. ..&#x  | 1  2 |  2   1 | 480   * ♦    8   0   0 |   4  12  0   0 |   6   8  0  0 |  4  2
.. .x3.o ..    .. .. ..     | 0  3 |  0   3 |   * 640 |    2   1   3 |   2   6  3   3 |   6   6  3  1 |  6  2
----------------------------+------+--------+---------+--------------+----------------+---------------+------
.. ox3oo ..    .. .. ..&#x  ♦ 1  3 |  3   3 |   3   1 | 1280   *   * |   1   3  0   0 |   3   3  0  0 |  3  1
.. .x3.o3.o    .. .. ..     ♦ 0  4 |  0   6 |   0   4 |    * 160   * |   2   0  3   0 |   6   0  3  0 |  6  0
.. .x3.o .. *c3.o .. ..     ♦ 0  4 |  0   6 |   0   4 |    *   * 480 |   0   2  1   2 |   2   4  2  1 |  4  2
----------------------------+------+--------+---------+--------------+----------------+---------------+------
.. ox3oo3oo    .. .. ..&#x  ♦ 1  4 |  4   6 |   6   4 |    4   1   0 | 320   *  *   * |   3   0  0  0 |  3  0
.. ox3oo .. *c3oo .. ..&#x  ♦ 1  4 |  4   6 |   6   4 |    4   0   1 |   * 960  *   * |   1   2  0  0 |  2  1
.. .x3.o3.o *c3.o .. ..     ♦ 0  8 |  0  24 |   0  32 |    0   8   8 |   *   * 60   * |   2   0  2  0 |  4  0
.. .x3.o .. *c3.o3.o ..     ♦ 0  5 |  0  10 |   0  10 |    0   0   5 |   *   *  * 192 |   0   2  1  1 |  2  2
----------------------------+------+--------+---------+--------------+----------------+---------------+------
.. ox3oo3oo *c3oo .. ..&#x  ♦ 1  8 |  8  24 |  24  32 |   32   8   8 |   8   8  1   0 | 120   *  *  * |  2  0
.. ox3oo .. *c3oo3oo ..&#x  ♦ 1  5 |  5  10 |  10  10 |   10   0   5 |   0   5  0   1 |   * 384  *  * |  1  1
.. .x3.o3.o *c3.o3.o ..     ♦ 0 16 |  0  80 |   0 160 |    0  40  80 |   0   0 10  16 |   *   * 12  * |  2  0
.. .x3.o .. *c3.o3.o3.o     ♦ 0  6 |  0  15 |   0  20 |    0   0  15 |   0   0  0   6 |   *   *  * 32 |  0  2
----------------------------+------+--------+---------+--------------+----------------+---------------+------
.. ox3oo3oo *c3oo3oo ..&#x  ♦ 1 16 | 16  80 |  80 160 |  160  40  80 |  40  80 10  16 |  10  16  1  0 | 24  *
.. ox3oo .. *c3oo3oo3oo&#x  ♦ 1  6 |  6  15 |  15  20 |   20   0  15 |   0  15  0   6 |   0   6  0  1 |  * 64