Nicholas Alexander Buckendorf that's a fascinating question. I
   think it *does* work, but you'd have to take account the extra
   dimensions if you're doing higher dimension and add those as
   well (is it'd probably be something like x2 + y2 +z2 = c2 - but
   that's Euclidean too I *think* gosh it's been so long... Euclean
   is where everything has parallel lines and righ...t angles I
   think.... and non-Euclidean is when the right angles are warped
   by gravity or by shape - like cuves and spheres and hyperbolas
   and other curvy things (and curvy things just means you hav... "