Re: [math-fun] cells in arrangements of H hyperplanes in D-space: the nice counting formula

On 10/19/14, Warren D Smith <warren.wds@gmail.com> wrote:

Generically, and maximally, H hyperplanes partition D-dimensional space into F(H,D) regions where F(H,D) = the unique polynomial(H) of degree=D whose value agrees with 2^H for each H=0,1,2,3,...,D.

which is: F(H,D) = SUM(K=0..D) (H choose K)