In Book 23
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Penelope asks Odysseus if he will arrange to have his bed moved out of their bedroom while she gets used to him being home. Odysseus replies that this is impossible because the bed is built around a tree which grows within and forms a fundamental part of the structure of the palace and so to move it would be impossible. Only Odysseus would have known this and so he passes Penelope's test. I suppose this is clever, you can never be too sure who you are sleeping with!