What do you think of Odysseus' plan for escaping from Polyphemus? Explain.

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Given its success, I would say that Odysseus's plan to escape from Polyphemus is a pretty good one. His intuition that Polyphemus (who is now blind) would feel the tops of his sheep as they left the cave, in order to make sure that the men were not riding them out or trying to sneak out beside them, is particularly impressive. Knowing the Cyclops would do this, Odysseus lashes three sheep together and secures one man underneath them so that when Polyphemus feels the sheep's backs, he only feels wool (with the men hidden well underneath). Further, his realization that they must incapacitate but not kill Polyphemus evidences some pretty sound judgment as well. The relatively small men need Polyphemus to roll aside the stone in front of the cave's door, or they will be trapped inside until they eventually starve to death. All in all, Odysseus's plan goes remarkably well; it is when he does something that he does not plan on—mock the monster he just blinded—that things start to go wrong.

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Given the circumstances, the plan appears to be pretty solid to me.  Given that there literally was no way for them to simply sneak past him, their plan to use the sheep hides as a way of tricking him into thinking that they are the sheep and will allow them out after he moves the stone, important since they cannot move the stone themselves.

Of course the additional part of the plot in making sure that they had referred to themselves as "nobody" became aparticularly vital once they had escaped fromo the cave and Polyphemus was calling for help.

The only part that was clearly stupid, wasn't necessarily part of the plan but when Odysseus decided he ought to taunt Polyphemus, he invited disaster.

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