Re: Balance point of a solid

*To*: mathgroup at smc.vnet.net*Subject*: [mg113660] Re: Balance point of a solid*From*: Andreas <aagas at ix.netcom.com>*Date*: Sat, 6 Nov 2010 05:01:14 -0500 (EST)*References*: <iam332$jvn$1@smc.vnet.net> <iar4jk$gmi$1@smc.vnet.net>

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.