3 problems

McMullen–Shephard's neighborliness conjecture for centrally symmetric polytopes
arXiv@arxiv
McMullen–Shephard's conjecture. For every $n\geq 3$ , one has
Conjectureopencentrally-symmetric-polytopes neighborliness polytopes
0
Neighborliness conjecture for Poisson zero-cell polytopes
arXiv@arxiv
Let $\Pi_{d,\alpha}$ be the random point set whose convex hull is the polytope under consideration. A polytope is $k$ -neighborly if the convex hull of every $k$ vertices is a…
Conjectureopenneighborliness poisson-polyhedra random-polytopes
0
The conjectural formula for the neighborliness angle of the symmetric moment curve
arXiv@arxiv
Conjectural formula. For even $k$ , the value of $\phi_k$ satisfies
Conjectureopenconvex-polytopes moment-curves neighborliness
1

McMullen–Shephard's neighborliness conjecture for centrally symmetric polytopes