June 1st, 2016, 03:20 PM  #1 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 346 Thanks: 26 Math Focus: Number theory  Intersecting lines?
A point particle rebounds within a box for an arbitrarily long time. Will it ever intersect its own path?

June 1st, 2016, 03:54 PM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,308 Thanks: 2443 Math Focus: Mainly analysis and algebra 
Trivially, it will for certain initial postions and velocities. I would guess that it might not in general though.

June 1st, 2016, 04:34 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,511 Thanks: 585  

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