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• Did this take a long time to render? I made a single high-resolution image in MATLAB and it took about 80 s to calculate, I﻿ can't imagine what you would need for this many frames. My code could certainly use some optimization though.

• As I recall, this took about a week to render, about six years ago﻿ (which explains the low resolution.) I'm not sure how optimized for speed something like Matlab is.

• Saw one of these yesterday, thought I've never understand anything of﻿ it.. Well, the last 24 hours have been quite a journey. Julia sets, Mandelbrot sets, fractals, imaginary numbers, complex numbers and so on. Feel like I've learned more in 24 hours on my own, than in 2 weeks at my highschool.

• Fractals are definitely fun. Apparently you can do similar things in 3D if you use quaternions. They're 4-part hypercomplex numbers. Where real numbers are just a number﻿ and complex numbers are a+bi (with i being the square root of -1), quaternions take the form of a+bi+cj+dk, where i^2 = j^2 = k^2 = ijk = -1. The really weird thing is that they're not commutative: i*j = k, but j*i = -k. The one constant that I've found is that the deeper you go, the weirder -- but more interesting -- math gets!

• Our geometry teacher played this in class.... He hadn't bothered to listen to﻿ the whole song. The look of horror on his face was priceless.

#### Video Responses

• great﻿ song!!! :)

• Descriptions are hard to read, aren't they?

A zoom into the Mandelbrot Set, from 1:1 scale to a 6th-level mini-set. Set to Jonathan Coulton's "Mandelbrot Set" (used under the Creative Commons license; share﻿ and enjoy!)

• What is﻿ the song called

• I﻿ love this! Its good and correct.n

• I think﻿ it was because of the melody, not the lyrics

• Oh don't worry, I did....like﻿ after three seconds.