R Hansen says:<< SNIP >>
>Thus, it isn't a mapping of volume like the cube.
But it seems the underlying math will be generally be what we are all used to, all that conventional stuff.
Or, prove me wrong, I'm no expert here, just a guess.
But that's why I said I don't see this as a whole "branch" of mathematics, the way Kirby put it.
Assigning unit volume = 1 unit sided tetrahedron may make some calculations easier, so why not?