lol that is so mindblowing o.0

o thats pretty sick, i think ill start googling these.

A taylor series approximation would be pretty cool. I've found some other really neat gifs including one that shows a 3D representation of a 4D object.

haha no problem. that is a pretty cool function, and i agree euler's constant is interesting and useful. i wonder if there is an animation for a taylor series, that would look pretty cool as the series becomes more precise.

Sort of, as I understand it the animation is showing the limit of a portion of the identity (the e^i(pi) part) as a limit of a continuously componding function in the imaginary plane. Its being graphed over and over with smaller and smaller values of N in the function. The cool part is that the final value heads to -1, which when added to 1 equals zero. This function is really cool and has all these mind boggling implications that I find really fascinating, and have not yet even begun to understand. Euler's constant is the most beautiful number in mathematics (at least in my humble opinion), and I love the simple beauty of the graphic. Anyway, that's probably way more than you wanted to hear, but I really like mathematics almost as much as I like writing!

hey just wondering, is your avatar trying to simulate euler's method?