just to make a rather boring point, the "D-dimensional Peano curve" is based on the fact that a hyperrectangle can be cut into 3 scaled copies of itself... if its edge lengths are 1, A, A^2, ..., A^(D-1) where A^D = 3. Isn't this meeting Dan Asimov's desires in any dimension? Then to make a rather more exciting (?) point, Dan said the only real division algebras are in dimensions 1,2,4,8. However, there actually is one in dimension 16 too, depending on the precise technical definition of "division algebra." That is explained in paper #73 here: http://rangevoting.org/WarrenSmithPages/homepage/works.html It would be rather nice if anybody figured out a use for it. -- Warren D. Smith http://RangeVoting.org <-- add your endorsement (by clicking "endorse" as 1st step)