Acronym  patex cube 
Name 
partially tetrahedrallyexpanded cube, tetrahedrally truncated cube, chamfered tetrahedron, partially triexpanded tetrahedron 
 
Vertex figure  [3,H,H], [h^{3}] 
Dihedral angles
(at margins) 

Confer  
External links 
The nonregular hexagons {(h,H,H)^{2}} are diagonally elongated squares. Its vertex angles are h = 90° resp. H = 135°.
Chamfering (or edgeonly beveling – here being applied to the tet) flatens the former edges into new (nonregular 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 wtet and (x,q)co) o.3o.3o.  4 *  3 0  3 0 [h^{3}] .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
© 20042019  top of page 