For n <= 3 dimensions, you may have the beginnings of a great SoCG (pronounced "sausage") paper. Generalizing to n >= 5 dimensions would expand on the well-kno

For n <= 3 dimensions, you may have the beginnings of a great SoCG (pronounced "sausage") paper. Generalizing to n >= 5 dimensions would expand on the well-known Sausage Conjecture. [1] http://socg2016.cs.tufts.edu/ http://socg2016.cs.tufts.edu/ [2] http://mathworld.wolfram.com/SausageConjecture.html http://mathworld.wolfram.com/SausageConjecture.html