Acronym	fitetaltet
Name	faceted tet atop dual 3tet, vertex figure of phap
Cross sections	©
Circumradius	1/sqrt(2) = 0.707107
Face vector	8, 24, 26, 10
Confer	uniform relative: hex   general polytopal classes: segmentochora
External links

This polychoron is just an edge-faceting of hex.

Incidence matrix according to Dynkin symbol

reduced( xx3/2ox3oo&#x by x3/2x )   → height = 1/sqrt(2) = 0.707107

         o.3/2o.3o.      | 4 * | 3  3 0 | 3 3  3 0 | 1 3 1 0
         .o3/2.o3.o      | * 4 | 0  3 3 | 0 3  6 3 | 0 3 3 1
-------------------------+-----+--------+----------+--------
         x.   .. ..      | 2 0 | 6  * * | 2 1  0 0 | 1 2 0 0
         oo3/2oo3oo&#x   | 1 1 | * 12 * | 0 1  2 0 | 0 2 1 0
reduced( ..   .x ..    ) | 0 2 | *  * 6 | 0 1  2 2 | 0 2 2 1
-------------------------+-----+--------+----------+--------
         x.3/2o. ..      | 3 0 | 3  0 0 | 4 *  * * | 1 1 0 0
         xx   .. ..&#x   | 2 2 | 1  2 1 | * 6  * * | 0 2 0 0
         ..   ox ..&#x   | 1 2 | 0  2 1 | * * 12 * | 0 1 1 0
         ..   .x3.o      | 0 3 | 0  0 3 | * *  * 4 | 0 0 1 1
-------------------------+-----+--------+----------+--------
         x.3/2o.3o.      ♦ 4 0 | 6  0 0 | 4 0  0 0 | 1 * * *
reduced( xx3/2ox ..&#x ) ♦ 3 3 | 3  6 3 | 1 3  3 0 | * 4 * *
         ..   ox3oo&#x   ♦ 1 3 | 0  3 3 | 0 0  3 1 | * * 4 *
reduced( .x3/2.x3.o    ) ♦ 0 4 | 0  0 6 | 0 0  0 4 | * * * 1