P^2+Σ2P

You need to fill spheres in packing infinitely. This is more complicated than packing oranges . Two dimensions are easy to image, but spheres are three dimensions and you pile them infinitely. This is n-dimensional Pythagorean theorem, the distance between (a,b,c,d) and (w,x,y,z) in R^n. There are always spaces between spheres. You need to put small ones. Fraction of boundary is less than 0.99. You can find 99% spaces for spheres anytime. https://prime2011.tumblr.com/post/179661361213 ∴ 0.99^n 0.99^300≒0.049 0.99^500≒0.00657 0.99^800≒0.00032 Therefore, spheres are almost zero in higher dimensions.