  In 1952 Bing astonished the mathematical world with his wild involution on
$S^3$. It has been among the most seminal examples in topology. The example
depends on finding shrinking homeomorphisms of Bing's decomposition of $S^3$
into points and arcs. If Bing's original homeomorphisms are varied, Bing's
original wild involution changes by conjugation, which preserves some analytic
properties \cite{fs22} while altering others. In 1988, Bing published a second
paper "Shrinking Without Lengthening," answering a question that one of the
present authors posed to him in an effort to understand the geometry of the
entire conjugacy class. In this paper we produce a counterintuitive
construction, namely, a method to shrink the Bing decomposition doing almost
nothing at all--neither lengthening much nor rotating much.
