The unexpectedly hard box problem

Which point on the box is furthest from P when you can only travel on the surface of the box? The answer may not be what you expect. I break it down in a visual way to answer this question.
This problem is from a 2013 UGA math tournament, here is the original problem and its solution (the last problem in the PDF): www.math.uga.ed...

[@spaghettiking653]

Thanks for this, procrastinating from my Super Mario Galaxy exam tomorrow...

[@ayushrudra8600]

lol i have my midterms tmrw

[@mb59621]

Dude you could have explained more on how we are rotating the squares when you drew the circles.

[@MrYesman43]

Great video!!