Everything we know is correct based on a x,y,z, and with a tetrahedral exploration we simply use cubes cause the cube = 3 reg. tet. and the conversions are ALL based on cubes. IVM is simply cubes stocked up a cube having a regular tet. in it has 4 octants attached and when THESE cubes are stocked up it becomes octahedrons tetrahedron alterations where the 60 deg. coordinate is basically cubes stocked, no complications nor conversions nor ugly irrational numbers involved. Kirby you promoting complications to a unnecessary process.