I think math is neat. I like to play with math. And sometimes I come up with something that supports my theory that math is neat.

First, I took the numbers 1 – 100 and spiralled them around some regular graph paper. I wondered what would happen if I colored in the multiples of 4. I examined my work and thought, “Huh. Well that’s neat.”

Of course then I needed to spiral even more numbers and test out everything I could think of. Multiples of 5, 6, 7 and so on. Linear patterns, quadratic patterns, prime num…nope, nevermind. I don’t do prime numbers.

Anyway, it’s that time of the school year where stress relief is necessary so I have been playing with these spirals for over a week. Today I came up with something worth sharing on my blog. I took the positive y-values of y = x^2, y = x^2 + x, y = x^2 + 2x and so on, and colored those squares. Then I put the images together and made a gif. Obviously, holding the camera at a steady angle is not a skill I have mastered. But I still think it’s pretty darn neat.