Shifted symmetric $δ$-vectors of convex polytopes

A $δ$-vector $δ(\Pc)= (δ_0, δ_1, ..., δ_d)$ is called shifted symmetric if $δ_{d-i} = δ_{i+1}$ for each $0 \leq i \leq [(d-1)/2]$. A natural family of $(0,1)$-polytopes with shifted symmetric $δ$-vectors will be studied.

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