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Oddness (Noun)

Eccentricity that is not easily explained.

Nouns denoting attributes of people and objects.

The famous artist's oddness often manifested in her unconventional use of materials and subject matter in her artwork, leaving critics both fascinated and perplexed.
Her quirky fashion sense and unpredictable behavior only added to the public's perception of her oddness as a cult figure.
Friends and family struggled to understand the oddness that drove him to quit a successful job to become a nomadic musician.
Critics referred to the film's oddness as both its weakest and strongest aspect, claiming it was either a deeply unsettling or refreshingly innovative work.
The oddness of the abandoned mansion, with its winding staircases and mismatched architectural styles, captivated the imagination of locals and tourists alike.

The parity of odd numbers (not divisible by two).

Nouns denoting relations between people or things or ideas.

The property of odd numbers retaining their oddness when multiplied by an odd integer is fundamental to number theory.
Every odd number preserves its oddness in modular arithmetic with an even divisor.
One interesting property of odd numbers is that their oddness remains even when added to infinite odd sums.
No matter how many times you add an even number to an odd number, the oddness still remains afterwards.
This concept leads to further findings that oddness is inherent to the number itself rather than the result it produces.