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irregular (adj.)

late 14c., "not in conformity with Church rules," from Old French irreguler "irregular, incapable, incompetent" (13c., Modern French irrégulier), from Medieval Latin irregularis "not regular," from assimilated form of in- "not, opposite of" (see in- (1)) + Latin regularis "having rules" (see regular (adj.)). General sense of "not conforming to regular rules or principles" is from late 15c. "It expresses the fact of being out of conformity with rule, but implies nothing more with certainty. Yet the word is sometimes used in a sinister sense, as though it were a euphemism for something worse." [Century Dictionary] Meaning "unsymmetrical" is from 1580s. In reference to variable stars, from 1797.

irregular (n.)

"one not belonging to a regular body" of any sort, "one not subject to or not conforming with established regulations," 1610s, from irregular (adj.). Main modern sense of "a soldier not of the regular army" is from 1747.

Doubtless, the life of an Irregular is hard; but the interests of the Greater Number require that it shall be hard. If a man with a triangular front and a polygonal back were allowed to exist and to propagate a still more Irregular posterity, what would become of the arts of life? Are the houses and doors and churches in Flatland to be altered in order to accommodate such monsters? [Edwin Abbot, "Flatland: A Romance of Many Dimensions," 1885]

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Definitions of irregular from WordNet
1
irregular (adj.)
contrary to rule or accepted order or general practice;
irregular hiring practices
irregular (adj.)
not occurring at a regular rate or fixed intervals;
an irregular heartbeat
Synonyms: unpredictable
irregular (adj.)
(used of the military) not belonging to or engaged in by regular army forces;
irregular troops
irregular warfare
irregular (adj.)
(of solids) not having clear dimensions that can be measured; volume must be determined with the principle of liquid displacement;
irregular (adj.)
failing to meet a standard of manufacture due to an imperfection;
an irregular pair of jeans
irregular (adj.)
deviating from normal expectations; somewhat odd, strange, or abnormal;
highly irregular behavior
Synonyms: atypical
irregular (adj.)
(of a surface or shape); not level or flat or symmetrical;
walking was difficult on the irregular cobblestoned surface
irregular (adj.)
independent in behavior or thought;
she led a somewhat irregular private life
Synonyms: maverick / unorthodox
2
irregular (n.)
a member of an irregular armed force that fights a stronger force by sabotage and harassment;
irregular (n.)
merchandise that has imperfections; usually sold at a reduced price without the brand name;
Synonyms: second
From wordnet.princeton.edu