Anfractuousness

The quality of being winding, twisted, and full of intricate turns; the state of having many complicated passages or folds.

From 'anfractuous' (adjective) + '-ness' (a suffix forming abstract nouns). 'Anfractuous' comes from the same Latin root 'anfractus' as anfractuosity, but this form emphasizes the property through the '-ness' suffix rather than '-osity'.