  We present constructions inspired by the Ma-Schlenker example
of~\cite{Ma:2012hl} that show the non-rigidity of spherical inversive distance
circle packings. In contrast to the use in~\cite{Ma:2012hl} of an
infinitesimally flexible Euclidean polyhedron, embeddings in de Sitter space,
and Pogorelov maps, our elementary constructions use only the inversive
geometry of the $2$-sphere.
