2Dec/104

## New James Tanton video on sums of cubes

Have you ever wondered why the sum of the cubes of consecutive positive integers is always a square? The key to one visual proof lies in the humble multiplication table and in an array of square dots.

Here's a new video from James Tanton that shows in a remarkably elegant way that 1^3 + 2^3 + 3^3 + ... + n^3 = (1+2+3+...+n)^2.

And, you don't need to have very much of a background in Math to follow the proof. Absolutely amazing!

[youtube]http://www.youtube.com/watch?v=fKrN2-urUkE[/youtube]

"Shecky R"December 3rd, 2010 - 04:16

thanks for this… WHERE was James Tanton when I was in school!! (and when do we clone him?)

VMTDecember 3rd, 2010 - 07:19

That’s a fantastic post, I’m going to post this video too at some point; and a great blog, btw. Cheers, VMT

JonathanDecember 5th, 2010 - 10:59

I ff’ed the video, stopping to examine full boards of stuff.

One big chunk looked an awful lot like one of ways I help kids count rectangles on a chessboard.

Oh yeah, same thing really! 😉

Vivian MackDecember 6th, 2011 - 07:15

When I was in school I always found these kind of problems very difficult. I wish we had you tube that time … life would have different