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 offer asymptotically the most important variety of faces in all dimensions between all centrally symmetric polytopes with vertices of a given even size while is fastened and n grows. For a set even measurement and an integer we turn out that the utmost attainable variety of -dimensional faces of a centrally symmetric -dimensional polytopewith vertices is at the very least for a few and at such a lot as grows.We express that and conjecture that the certain is better attainable.
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Extra info for A Centrally Symmetric Version of the Cyclic Polytope
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A Centrally Symmetric Version of the Cyclic Polytope by Barvinok A., Novik I.