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Re: Balance point of a solid
Ray, I think that sounds right and follows the I found in the wikipedia entry for Simplex http://en.wikipedia.org/wiki/Simplex. The entry has a discussion of "Cartesian coordinates for regular n-dimensionsl simplex in Rn" that aplies to this. To relate this to what I described earlier... for n = 4 dimensions, I need a tetrahedron as my "base" it needs 4 points to describe it and as you stated their coordinates must be mutually equidistant. In my application the distance between them would always equal 1 for all of these "bases". Their must be another word to describe this besides base, but base seems intuitive to me.