Terminally edge-bevelling (or deeper edge-only beveling – here being applied to the hex) flatens the former edges into new rhombohedral cells (baucoes) while the former regular polyhedral cells (here: tets) get rasped down into terminally chamfered versions thereof (cubes). – 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 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.

There is a shallower edge-bevelling of the hex too, which then reduces the original triangles not fully. In fact the rhombs there get truncated into hexagons and the total figure becomes the a'b'x3ooo3ooc4odo&#zx (with a' = a+x, b' = b+x). – When considering the below provided tegum sum Dynkin symbol, it becomes obvious that this figure also can be seen as a Stott contraction of a'b'x3ooo3ooc4odo&#zx.

Incidence matrix according to Dynkin symbol

abo3ooo3ooc4odo&#zx   → height = 0, 
                        a = 2 sqrt(2) = 2.828427,
                        b = c = q = sqrt(2) = 1.414214,
                        d = x = 1

o..3o..3o..4o..     | 8  *  * |  8   0 | 12  0 |  6  0  verf: cube
.o.3.o.3.o.4.o.     | * 64  * |  1   3 |  3  3 |  3  1
..o3..o3..o4..o     | *  * 32 |  0   6 |  3  6 |  3  2  verf: x q3o
--------------------+---------+--------+-------+------
oo.3oo.3oo.4oo.&#x  | 1  1  0 | 64   * |  3  0 |  3  0
.oo3.oo3.oo4.oo&#x  | 0  1  1 |  * 192 |  1  2 |  2  1
--------------------+---------+--------+-------+------
... ... ... odo&#xt | 1  2  1 |  2   2 | 96  * |  2  0  {(r,R)2}
.bo ... .oc ...&#zx | 0  2  2 |  0   4 |  * 96 |  1  1  {4}
--------------------+---------+--------+-------+------
abo ... ooc4odo&#zx | 2  8  4 |  8  16 |  8  4 | 24  *  bauco
.bo3.oo3.oc ...&#zx | 0  4  4 |  0  12 |  0  6 |  * 16  cube