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Example of a non-rectifiable closed Jordan curve.

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Give an example of a non-rectifiable closed Jordan curve on the interval -1<=t<=1.

My thought: t + i(sin 1/t) + ?????

Please advise what curve I can add to make this work. Or, if this will not work, please provide an example of a non-rectifiable closed Jordan curve on -1<=t<1.

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Solution Summary

An example of a non-rectifiable closed Jordan curve is provided. The choice is explained.

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