  We study a new model of 3-dimensional modular self-reconfigurable robots
Rhombic Dodecahedral (RD). By extending results on the 2D analog of this model
we characterize the free space requirements for a pivoting move and investigate
the $\textit{reconfiguration problem}$, that is, given two configurations $s$
and $t$ is there a sequence of moves that transforms $s$ into $t$? We show
reconfiguration is PSPACE-hard for RD modules in a restricted pivoting model.
In a more general model, we show that RD configurations are not universally
reconfigurable despite the fact that their 2D analog is [Akitaya et al., SoCG
2021]. Additionally, we present a new class of RD configurations that we call
$\textit{super-rigid}$. Such a configuration remains rigid even as a subset of
any larger configuration, which does not exist in the 2D setting.
