This polychoron is a mere bistratic stack of segmentochora. It not even is convex. In fact the dihedral angle at the {6} between tricu and tut of the upper segment is arccos(1/4) = 75.522488° and that at the {6} between hip and tricu in the lower segment is arccos(-sqrt(3/8)) = 127.761244°.

Incidence matrix according to Dynkin symbol

oxx3xxx3oox&#xt   → both heights = sqrt(5/8) = 0.790569
(oct || pseudo tut || toe)

o..3o..3o..     | 6  *  * |  4  2 0  0  0  0  0  0 | 2 2 1  4 0 0  0  0  0 0 0 0 | 1 2 2 0 0 0 0
.o.3.o.3.o.     | * 12  * |  0  1 1  2  2  0  0  0 | 0 0 1  2 2 1  2  2  1 0 0 0 | 0 2 1 2 1 1 0
..o3..o3..o     | *  * 24 |  0  0 0  0  1  1  1  1 | 0 0 0  0 0 0  1  1  1 1 1 1 | 0 0 0 1 1 1 1
----------------+---------+------------------------+-----------------------------+--------------
... x.. ...     | 2  0  0 | 12  * *  *  *  *  *  * | 1 1 0  1 0 0  0  0  0 0 0 0 | 1 1 1 0 0 0 0
oo.3oo.3oo.&#x  | 1  1  0 |  * 12 *  *  *  *  *  * | 0 0 1  2 0 0  0  0  0 0 0 0 | 0 2 1 0 0 0 0
.x. ... ...     | 0  2  0 |  *  * 6  *  *  *  *  * | 0 0 1  0 2 0  2  0  0 0 0 0 | 0 2 0 2 1 0 0
... .x. ...     | 0  2  0 |  *  * * 12  *  *  *  * | 0 0 0  1 1 1  0  1  0 0 0 0 | 0 1 1 1 0 1 0
.oo3.oo3.oo&#x  | 0  1  1 |  *  * *  * 24  *  *  * | 0 0 0  0 0 0  1  1  1 0 0 0 | 0 0 0 1 1 1 0
..x ... ...     | 0  0  2 |  *  * *  *  * 12  *  * | 0 0 0  0 0 0  1  0  0 1 1 0 | 0 0 0 1 1 0 1
... ..x ...     | 0  0  2 |  *  * *  *  *  * 12  * | 0 0 0  0 0 0  0  1  0 1 0 1 | 0 0 0 1 0 1 1
... ... ..x     | 0  0  2 |  *  * *  *  *  *  * 12 | 0 0 0  0 0 0  0  0  1 0 1 1 | 0 0 0 0 1 1 1
----------------+---------+------------------------+-----------------------------+--------------
o..3x.. ...     | 3  0  0 |  3  0 0  0  0  0  0  0 | 4 * *  * * *  *  *  * * * * | 1 1 0 0 0 0 0
... x..3o..     | 3  0  0 |  3  0 0  0  0  0  0  0 | * 4 *  * * *  *  *  * * * * | 1 0 1 0 0 0 0
ox. ... ...&#x  | 1  2  0 |  0  2 1  0  0  0  0  0 | * * 6  * * *  *  *  * * * * | 0 2 0 0 0 0 0
... xx. ...&#x  | 2  2  0 |  1  2 0  1  0  0  0  0 | * * * 12 * *  *  *  * * * * | 0 1 1 0 0 0 0
.x.3.x. ...     | 0  6  0 |  0  0 3  3  0  0  0  0 | * * *  * 4 *  *  *  * * * * | 0 1 0 1 0 0 0
... .x.3.o.     | 0  3  0 |  0  0 0  3  0  0  0  0 | * * *  * * 4  *  *  * * * * | 0 0 1 0 0 1 0
.xx ... ...&#x  | 0  2  2 |  0  0 1  0  2  1  0  0 | * * *  * * * 12  *  * * * * | 0 0 0 1 1 0 0
... .xx ...&#x  | 0  2  2 |  0  0 0  1  2  0  1  0 | * * *  * * *  * 12  * * * * | 0 0 0 1 0 1 0
... ... .ox&#x  | 0  1  2 |  0  0 0  0  2  0  0  1 | * * *  * * *  *  * 12 * * * | 0 0 0 0 1 1 0
..x3..x ...     | 0  0  6 |  0  0 0  0  0  3  3  0 | * * *  * * *  *  *  * 4 * * | 0 0 0 1 0 0 1
..x ... ..x     | 0  0  4 |  0  0 0  0  0  2  0  2 | * * *  * * *  *  *  * * 6 * | 0 0 0 0 1 0 1
... ..x3..x     | 0  0  6 |  0  0 0  0  0  0  3  3 | * * *  * * *  *  *  * * * 4 | 0 0 0 0 0 1 1
----------------+---------+------------------------+-----------------------------+--------------
o..3x..3o..     ♦ 6  0  0 | 12  0 0  0  0  0  0  0 | 4 4 0  0 0 0  0  0  0 0 0 0 | 1 * * * * * *
ox.3xx. ...&#x  ♦ 3  6  0 |  3  6 3  3  0  0  0  0 | 1 0 3  3 1 0  0  0  0 0 0 0 | * 4 * * * * *
... xx.3oo.&#x  ♦ 3  3  0 |  3  3 0  3  0  0  0  0 | 0 1 0  3 0 1  0  0  0 0 0 0 | * * 4 * * * *
.xx3.xx ...&#x  ♦ 0  6  6 |  0  0 3  3  6  3  3  0 | 0 0 0  0 1 0  3  3  0 1 0 0 | * * * 4 * * *
.xx ... .ox&#x  ♦ 0  2  4 |  0  0 1  0  4  2  0  2 | 0 0 0  0 0 0  2  0  2 0 1 0 | * * * * 6 * *
... .xx3.ox&#x  ♦ 0  3  6 |  0  0 0  3  6  0  3  3 | 0 0 0  0 0 1  0  3  3 0 0 1 | * * * * * 4 *
..x3..x3..x     ♦ 0  0 24 |  0  0 0  0  0 12 12 12 | 0 0 0  0 0 0  0  0  0 4 6 4 | * * * * * * 1