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Rfv-sense #2: I doubt a noun really exists to describe the universe modelled by Eudoxus. I have found some references of levogyrous and dextrogyrous movements of celestial bodies, as described by Plato and Eudoxus, but levogyrous and dextrogyrous are mere adjectives in that context.
Rfv-sense #3: Laffoley's painting is titled "The Levogyre". In my opinion this is a proper noun. I haven't found any evidence that this kind of painting is common enough to have a common name of its own.
Those two additional senses may have been inspired by this page. — Xavier, 22:36, 23 February 2012 (UTC)