Scrabble Dictionary

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Yes, epicycle is playable

...and is worth 20 points.

Found in the following dictionaries

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OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)

"Epicycle" Definition

noun

In Ptolemaic cosmology, a small circle, the center of which moves on the circumference of a larger circle at whose center is the earth and the circumference of which describes the orbit of one of the planets around the earth.
Mathematics A circle whose circumference rolls along the circumference of a fixed circle, thereby generating an epicycloid or a hypocycloid.
A process going on within a larger one.
A circle in which a planet moves and which has a center that is itself carried around at the same time on the circumference of a larger circle.

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