Acronym	chat (alt.: patex cube)
Name	chamfered tetrahedron, partially tetrahedrally-expanded cube, tetrahedrally truncated cube, partially tri-expanded tetrahedron
Vertex figure	[3,H,H], [h3]
Dihedral angles (at margins)	between {3} and {(h,H,H)2}:   arccos[-1/sqrt(3)] = 125.264390° between {(h,H,H)2} and {(h,H,H)2}:   90°
Face vector	16, 24, 10
Confer	uniform relative: cube   tet   related CnRFs: pextet   pabextet   general polytopal classes: partial Stott expansions
External links

The non-regular hexagons {(h,H,H)²} are diagonally elongated squares. Its vertex angles are h = 90° resp. H = 135°.

Chamfering (or edge-only beveling – here being applied to the tet) flatens the former edges into new (non-regular hexagonal) faces.

There is a deeper, terminal chamfering of the tet too, which then reduces the original faces to nothing. Then the hexagons will become squares and the total figure becomes the cube. – When considering the below provided tegum sum Dynkin symbol, it becomes obvious that this figure also can be seen as a Stott expansion of the cube.

Incidence matrix according to Dynkin symbol

wx3oo3oq&#zx   → height = 0
(tegum sum of w-tet and (x,q)-co)

o.3o.3o.     | 4  * |  3  0 | 3 0  [h3]
.o3.o3.o     | * 12 |  1  2 | 2 1  [3,H,H]
-------------+------+-------+----
oo3oo3oo&#x  | 1  1 | 12  * | 2 0
.x .. ..     | 0  2 |  * 12 | 1 1
-------------+------+-------+----
wx .. oq&#zx | 2  4 |  4  2 | 6 *  {(h,H,H)2}
.x3.o ..     | 0  3 |  0  3 | * 4