Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  show that there exist k-neighborly centrally symmetric d-dimensional polytopes with 2(n + d) vertices, where $k(d,n)=\Theta\left(\frac{d}{1+\log ((d+n)/d)}\right).$  also show that this bound is tight.
['Nathan Linial', 'Isabella Novik']
I am writing a research paper on a idea How Neighborly Can a Centrally Symmetric Polytope Be
[{"from": "human", "value": "I am writing a research paper on a idea How Neighborly Can a Centrally Symmetric Polytope Be"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  show that there exist k-neighborly centrally symmetric d-dimensional polytopes with 2(n + d) vertices, where $k(d,n)=\\Theta\\left(\\frac{d}{1+\\log ((d+n)/d)}\\right).$  also show that this bound is tight."}]