By Barvinok A., Novik I.
We outline a centrally symmetric analogue of the cyclic polytope and examine its facial constitution. We conjecture that our polytopes supply asymptotically the most important variety of faces in all dimensions between all centrally symmetric polytopes with vertices of a given even measurement while is mounted and n grows. For a hard and fast even measurement and an integer we turn out that the utmost attainable variety of -dimensional faces of a centrally symmetric -dimensional polytopewith vertices is a minimum of for a few and at such a lot as grows.We convey that and conjecture that the certain is healthier attainable.
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A Centrally Symmetric Version of the Cyclic Polytope by Barvinok A., Novik I.