Prove that f0 f3 there exists a 4 dimensional polytope p
Math 121c: Topics in Geometric Combinatorics, Spring 2012 Problems-
Prove that {(f0, f3): there exists a 4 dimensional polytope P with f0 = f0(P), f3 = f3(P)} is precisely the set
{(f0, f3) ∈ Z2: 5 ≤ f0 ≤ f3(f3 - 3)/2, 5 ≤ f3 ≤ f0(f0 - 3)/2}.
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