Prove that there exists a dimensional polytope

Reference no: EM131085707

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}.

Reference no: EM131085707

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