Acronym ... Name chamfered hexadecachoron General of army (is itself convex) Colonel of regiment (is itself locally convex) Confer related CnRFs: poxrico   a'b'o3ooo3ooc4odo&#zx

Chamfering (or edge-only beveling – 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 chamfering 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-faceting this polychoron at the tips of the ebauco cells results in poxrico.

There is a deeper, terminal chamfering 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
```

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