Thrinacia

Thrinakia is mentioned in Book 11 of Homer's Odyssey, is the island home of Helios's cattle, guarded by his eldest daughter, Lampetia. It is sometimes said to have been Sicily, since the name Thrinacia could be taken to imply a connection to the number three and Sicily has three corners. However the island is also associated with Malta. Being fictional and without any other further information it is not possible to be ceratin where on Sicily he would have landed but for our purposes the modern day city of Ragusa has been chosen given that Messina is thought to be the ancient land of Skylla

It is here that Odysseus meets the Polyphemous

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It is referenced in the following articles

Homer's Odyssey
Land of the Cyclopes
The Odyssey and Sequels
The Odyssey and the Argonauts