My head and tail are both equal. My middle slender as a bee. Whether I stand on head or heels, quite the same to you or me. But if my head should be cut off, the matter's true though passing strange. Directly to nothing I change. What Am I?

The figure eight.

My head and tail are both equal. My middle slender as a bee. Whether I stand on head or heels, quite the same to you or me. But if my head should be cut off, the matter's true though passing strange. Directly to nothing I change. What Am I?

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