  McMullen's formulas or local formulas for Ehrhart coefficients are functions
on rational cones that determine the $i$-th coefficient of the Ehrhart
polynomial as a weighted sum of the volumes of the i-dimensional faces of a
polytope. This work focuses on the RS-$\mu$-construction as given in a previous
paper by Achill Sch\"urmann and the author. We give an explicit description of
the construction from the dual point of view, i.e. given the cone of feasible
directions instead of the normal cone as input value. We further show some
properties of the construction in special cases, namely in case of symmetry and
for the codimension one case.
