/3/ - 3DCG

Is there something like the lattice modifier that will let me skew a mesh with 100% influence? I'm not entirely sure how a lattice is working under the hood but this seems to be intended behavior. I'm looking for something that will let me do this kind of thing but the corners will stay perfectly in with the corners of the morph shape. I'm looking use this for some custom skew dice.

I mostly do cad style modeling I have no fucking clue what I'm doing with polygons thank you for any assistance because I have absolutely no idea what words google wants me to use for this