The Collaborative International Dictionary of English v.0.48:
Rigidness \Rig"id*ness\, n. The quality or state of being rigid. [1913 Webster]WordNet (r) 3.0 (2006):
rigidness n 1: the physical property of being stiff and resisting bending [syn: rigidity, rigidness] 2: the quality of being rigid and rigorously severe [syn: inflexibility, rigidity, rigidness] [ant: flexibility, flexibleness]