That's right, simplicial complexes of the right dimension would give one the most fidelity in terms of continuity. Triangles happen to be the one for 2D. For 3D

That's right, simplicial complexes of the right dimension would give one the most fidelity in terms of continuity. Triangles happen to be the one for 2D. For 3D one would get similar benefits using tetrahedra. I was alluding the fact that barring boundary effects hexagonal tessellation and equilateral tessellation are essentially the same.