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It is literally the inability to be penetrated (pierced, soaked through), to a greater or lesser extent. Nothing is completely impenetrable.

It is used metaphorically to indicate something not understandable, or incomprehensible -- not because it does not make sense but because it is presented or explained in an unenlightening, obtuse, or unclear manner (to use another idiom, it is "too dense").

Example: Quantum mechanics textbooks are renowned for their impenetrability.

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12y ago

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