[math-fun] cells in arrangements of H hyperplanes in D-space: the nice counting formula
19 Oct
2014
19 Oct
'14
3:22 p.m.
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.
19 Oct
19 Oct
5 p.m.
New subject: [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)
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Warren D Smith