I like folding paper and connect the dots. I would have been a
  great Kindergarden teacher. Paper snowflakes - I may start
  making a few of those.

  So yeah, this basically proves that the shortest path between
  two points is a right triangle. Always a right triangle. No
  matter how many dimensions you go in. I didn't use any math
  except addition here. Counting the folds of paper, I think it
  worked out to 24 dimensions. A whole bunch of neat hexagons
  showed up (look at the skinny lines - looks like a web. The big
  lines and holes?

  I just took the most complicated things - the places where the
  most amount of paper was neatly folded together - and remember,
  all I did was pinch together all of the dots, doing the ''goal''
  dot last.

  That made the most interesting triangle of all. I'll have to
  fold it up again to show you if I remember. I mean, you can
  print this out and fold it yourself... but.. it's a lot of
  folds. It's easier to figure out for yourself than to try to
  base it on my lines. Just pinch together all the parts where the
  squared dots are. Don't even worry about the middle dot - it'll
  show up _all by itself_.