  A $\delta$-vector $\delta(\Pc)= (\delta_0, \delta_1, ..., \delta_d)$ is
called shifted symmetric if $\delta_{d-i} = \delta_{i+1}$ for each $0 \leq i
\leq [(d-1)/2]$. A natural family of $(0,1)$-polytopes with shifted symmetric
$\delta$-vectors will be studied.
