## Interest

on Sep 19, 2008

# Stumblers Who Commented On This Page

## FrogBomb

### FrogBomb

Everything in math is tautology, so there are no coincidences. In the end, proof is always really a matter of just seeing how it's obvious. It's really not just a matter of having consecutive numbers add up to the squares or cubes, It's that the first n odd numbers added together makes n^2, and then the first odd adds to 1^3, then the next two add to 2^3, then the next three add to 3^3, etc. Even if the proofs themselves are "mind numbingly simple," it looks interesting and like it almost should be wrong. (depending on your background, of course)

## spoon737

### spoon737

The general case for both of these are mind-numbingly simple induction proofs. In fact, even if you've never learned the PMI, it's not very hard to get an intuitive understanding of these facts.

## personjerry

## Jerry

psst guys you can DRAW a square,

DRAW a cube.

then draw the next biggest one. See?