uniformity vs regularity

uniformity and regularity both are nouns.

Word	Noun	Adjective	Verb	Adverb
uniformity	Yes	No	No	No
regularity	Yes	No	No	No

As nouns, regularity is a hypernym of uniformity; that is, regularity is a word with a broader meaning than uniformity:

uniformity (noun)	regularity (noun)
the quality of lacking diversity or variation (even to the point of boredom)	the quality of being characterized by a fixed principle or rate
a condition in which everything is regular and unvarying	a property of polygons: the property of having equal sides and equal angles