On Jul 17, 2013, at 12:24 PM, Joe Niederberger <firstname.lastname@example.org> wrote:
> But your word choice (mapping of volume) resonates with my comment about coordinates. Looking at something basic like the wikipedia page on tetrahedrons shows all the math there is based on rectilinear coordinates. I would guess that generally the rule for the various programs that compute tet meshes and what-not, but that's just a guess. When the rubber hits the road (computing) the little cubes win.
Since it is solid and does have an oblique(?) coordinate system then the volume should map.
> Assigning unit volume = 1 unit sided tetrahedron may make some calculations easier, so why not?
Primarily, because it isn't intuitive (at all) as an illustrative aid for students learning volume and cubing. That is the reason it didn't nor will ever catch on.
But when its oblique coordinate system applies to a problem, then by all means use it. Once you learn all the math to apply it.