I'm wondering if such a thing can exist. It seems a non intersecting smooth or Peano type curve can be defined over a finite surface area that passes once through (or terminates at) every point on the surface, including its two end points.(adsbygoogle = window.adsbygoogle || []).push({});

EDIT: I don't think this is the same question as the number of points on a line segment. I asking about a curve of infinite length.

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# Infinite curve with two endpoints?

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