dimensionality vs manifoldness

dimensionality

noun
  • The number of dimensions something has. 

  • The state or characteristic of possessing dimensions. 

manifoldness

noun
  • A generalized concept of magnitude. 

  • The quality of being manifold, diversity. 

  • multiplicity 

How often have the words dimensionality and manifoldness occurred in a corpus of books? (source: Google Ngram Viewer )