Acronym
| ... |

Name
| terminally chamfered hexadecachoron |

General of army | (is itself convex) |

Colonel of regiment | (is itself locally convex) |

Terminally chamfering (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 chamfering
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 chamfering 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

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