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_.