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June 1st, 2016, 03:20 PM   #1
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Intersecting lines?

A point particle rebounds within a box for an arbitrarily long time. Will it ever intersect its own path?
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June 1st, 2016, 03:54 PM   #2
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Trivially, it will for certain initial postions and velocities. I would guess that it might not in general though.
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June 1st, 2016, 04:34 PM   #3
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https://en.wikipedia.org/wiki/Space-filling_curve

These look like they would.
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