This polychoron is just an edge-faceting of octaco.

Incidence matrix according to Dynkin symbol

reduced( ox3/2xx3ox&#x by x3/2x )   → height = 1/sqrt(2) = 0.707107
(oct || cho)

         o.3/2o.3o.        | 6  * |  4  4  0  0 | 2 2  2  4  2 0 0 | 1 2 1 2 0
reduced( .o3/2.o3.o      ) | * 12 |  0  2  2  2 | 0 0  2  2  2 2 2 | 0 1 2 2 1
---------------------------+------+-------------+------------------+----------
         ..   x. ..        | 2  0 | 12  *  *  * | 1 1  0  1  0 0 0 | 1 1 0 1 0
         oo3/2oo3oo&#x     | 1  1 |  * 24  *  * | 0 0  1  1  1 0 0 | 0 1 1 1 0
reduced( .x   .. ..    & ) | 0  2 |  *  * 12  * | 0 0  1  1  0 1 1 | 0 1 1 1 1
         ..   .. .x        | 0  2 |  *  *  * 12 | 0 0  0  0  1 1 1 | 0 0 1 1 1
---------------------------+------+-------------+------------------+----------
         o.3/2x. ..        | 3  0 |  3  0  0  0 | 4 *  *  *  * * * | 1 1 0 0 0
         ..   x.3o.        | 3  0 |  3  0  0  0 | * 4  *  *  * * * | 1 0 0 1 0
         ox   .. ..&#x     | 1  2 |  0  2  1  0 | * * 12  *  * * * | 0 1 1 0 0
         ..   xx ..&#x     | 2  2 |  1  2  1  0 | * *  * 12  * * * | 0 1 0 1 0
         ..   .. ox&#x     | 1  2 |  0  2  0  1 | * *  *  * 12 * * | 0 0 1 1 0
         .x   .. .x        | 0  4 |  0  0  2  2 | * *  *  *  * 6 * | 0 0 1 0 1
         ..   .x3.x        | 0  6 |  0  0  3  3 | * *  *  *  * * 4 | 0 0 0 1 1
---------------------------+------+-------------+------------------+----------
         o.3/2x.3o.        ♦ 6  0 | 12  0  0  0 | 4 4  0  0  0 0 0 | 1 * * * *
reduced( ox3/2xx ..&#x   ) ♦ 3  3 |  3  6  3  0 | 1 0  3  3  0 0 0 | * 4 * * *
         ox   .. ox&#x     ♦ 1  4 |  0  4  2  2 | 0 0  2  0  2 1 0 | * * 6 * *
         ..   xx3ox&#x     ♦ 3  6 |  3  6  3  3 | 0 1  0  3  3 0 1 | * * * 4 *
reduced( .x3/2.x3.x      ) ♦ 0 12 |  0  0 12 12 | 0 0  0  0  0 6 4 | * * * * 1