Robin Fox (2011). The Tribal Imagination: Civilization and the Savage Mind. Harvard University Press. p. 223. ISBN9780674060944. There is certainly no evidence in the text of the Iliad that Achilles and Patroclus were lovers.
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Plato, Symposium, 180a; the beauty of Achilles was a topic already broached at Iliad 2.673–674.