different between eccentricity vs kookishness

English

eccentric +? -ity

eccentricity (countable and uncountable, plural eccentricities)

The quality of being eccentric or odd; any eccentric behaviour.
(mathematics) The ratio, constant for any particular conic section, of the distance of a point from the focus to its distance from the directrix.
(astronomy) The eccentricity of the conic section (usually an ellipse) defined by the orbit of a given object around a reference object (such as that of a planet around the sun).

kookish +? -ness

kookishness (uncountable)

(slang, chiefly US) The state or condition of being kookish; eccentricity, weirdness.

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