  In this short note, we construct an explicit embedding of the rescaling of
the $p$-sum $K\oplus_p K^{\circ}$ of the centrally symmetric convex domain $K$
and its polar $K^{\circ}$ to the product $K \times K^{\circ}$. The rescaling
constant is sharp in some cases. Additionally, we comment on the strong Viterbo
conjecture for $K\oplus_p K^{\circ}$.
