  This paper offers a geometrical realisation of simple permutoassociahedra,
which has significant importance serving as a topological proof of Mac Lane's
coherence. We introduce a family of $n$-polytopes, $PA_{n,c}$, obtained by
Minkowski sums such that each summand yields to the appropriate facet of the
resulting sum. Additionally, it leads to the correlation between Minkowski sums
and truncations of permutohedron, which implicitly gives a general procedure
for geometrical Minkowski-construction of any permutonestohedron.
