noun (n)

• a property of polygons: the property of having equal sides and equal angles(noun.attribute)

  Synonym:
  geometrical regularity
  

  source: wordnet30
• the quality of being characterized by a fixed principle or rate(noun.attribute)

  Example:
  He was famous for the regularity of his habits.
  

  Antonym:
  irregularity, unregularity
  

  source: wordnet30
• The condition or quality of being regular; as, regularity of outline; the regularity of motion.(noun)

  source: webster1913