21 Oct
2013
21 Oct
'13
12:44 p.m.
I was just saying, if there were a Pick formula in higher dimensions than 2, (or in 1D ior 2D) it'd be trivial to generalize it to other lattices. I did not claim any such Pick formula existed. :) But to answer RCS: Wikipedia: "The Reeve tetrahedron shows that there is no analogue of Pick's theorem in three dimensions that expresses the volume of a polytope by counting its interior and boundary points. However, there is a generalization in higher dimensions via Ehrhart polynomials."
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Warren D Smith