Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
rigidness is a noun meaning "the physical property of being stiff and resisting bending". It carries 2 recorded senses.
the physical property of being stiff and resisting bending
the quality of being rigid and rigorously severe
Forms marked · are formed by the regular rule rather than recorded in the source data. English keeps a few hundred irregulars and the rest follow the pattern, so the rule is right far more often than not — but it is a rule, and the mark says so.
Definitions, synonyms and semantic relations for rigidness come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.