Edge-only bevelling (here being applied to the hex) flatens the former edges into new elongated rhombohedral cells (ebauco, abx ooc4odo&#zx) while the former regular polyhedral cells (here: tets) get rasped down into chamfered versions thereof (bx3oo3oc&#zx). – It should be added here, that only the axial 4fold symmetry of the former edges makes it possible to get all edges in this edge-bevelling to the same size. For any other symmetry the rhombs at the tips of those new cells would deform into kites.

The non-regular hexagons {(h,H,H)²} are diagonally elongated squares. Their vertex angles are h = 90° resp. H = 135°. The rhombs {(r,R)²} are just a coplanar pair of regular triangles. Their vertex angles are r = 60° resp. R = 120°. The below mentioned node symbols a, b, c, and d all represent pseudo edges only.

Octa-diminishing this polychoron at the tips of the ebauco cells results in poxrico.

There is a deeper, terminal edge-bevelling of the hex too, which then reduces the original triangles to nothing. Then the hexagons will become rhombs and the total figure becomes the a'b'o3ooo3ooc4odo&#zx (with a' = a-x, b' = b-x). – When considering the below provided tegum sum Dynkin symbol, it becomes obvious that this figure here also can be seen as a Stott expansion of that a'b'o3ooo3ooc4odo&#zx.

Incidence matrix according to Dynkin symbol

abx3ooo3ooc4odo&#zx   → height = 0, 
                        a = 1+2 sqrt(2) = 3.828427,
                        b = w = 1+sqrt(2) = 2.414214,
                        c = q = sqrt(2) = 1.414214,
                        d = x = 1

o..3o..3o..4o..     | 8  *  * |  8   0  0 | 12  0  0 |  6  0  verf: cube
.o.3.o.3.o.4.o.     | * 64  * |  1   3  0 |  3  3  0 |  3  1
..o3..o3..o4..o     | *  * 96 |  0   2  2 |  1  4  1 |  2  2
--------------------+---------+-----------+----------+------
oo.3oo.3oo.4oo.&#x  | 1  1  0 | 64   *  * |  3  0  0 |  3  0
.oo3.oo3.oo4.oo&#x  | 0  1  1 |  * 192  * |  1  2  0 |  2  1
..x ... ... ...     | 0  0  2 |  *   * 96 |  0  2  1 |  1  2
--------------------+---------+-----------+----------+------
... ... ... odo&#xt | 1  2  1 |  2   2  0 | 96  *  * |  2  0  rhomb {(r,R)2}
.bx ... .oc ...&#zx | 0  2  4 |  0   4  2 |  * 96  * |  1  1  axial hexagon {(h,H,H)2}
..x3..o ... ...     | 0  0  3 |  0   0  3 |  *  * 32 |  0  2  regular triangle {3}
--------------------+---------+-----------+----------+------
abx ... ooc4odo&#zx | 2  8  8 |  8  16  4 |  8  4  0 | 24  *  ebauco
.bx3.oo3.oc ...&#zx | 0  4 12 |  0  12 12 |  0  6  4 |  * 16  patex cube