How to Fold a Julia Fractal
acko.net
How to Fold a Julia Fractal
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Re: How to Fold a Julia Fractal
#2The article is interesting, but it's very difficult to read with that background. Also, my slow netbook becomes very slow rendering it.
Re: How to Fold a Julia Fractal
#3The article is interesting, but it's very difficult to read with that background. Also, my slow netbook becomes very slow rendering it.
It is definitely written for a faster computer and larger screen, however the animations are worth viewing properly.
Re: How to Fold a Julia Fractal
#4The article is interesting, but it's very difficult to read with that background. Also, my slow netbook becomes very slow rendering it.
The Julia set slideshow/animation (36 steps) is really the best part, the animation of the set "folding" (square every point) is great.
Re: How to Fold a Julia Fractal
#5Previous discussion: https://news.ycombinator.com/item?id=7898883
Re: How to Fold a Julia Fractal
#6WOW! The masthead alone is worth a scroll, you even get an achievement badge. LOL
Re: How to Fold a Julia Fractal
#7WOW! The masthead alone is worth a scroll, you even get an achievement badge. LOL
You would like the article on how they made it
http://acko.net/blog/zero-to-sixty-in-one-second/
All of their MathBox-powered articles are wonderfull really.
Re: How to Fold a Julia Fractal
#8WOW! The masthead alone is worth a scroll, you even get an achievement badge. LOL
You would like the article on how they made it http://acko.net/blog/zero-to-sixty-in-one-second/ All of their MathBox-powered articles are wonderfull really.
nitpick: He not they. [0] Steven is also the person who developed MathBox. [1]
Re: How to Fold a Julia Fractal
#9More than being an intro to Julia fractals, I think this post is a great introduction to complex numbers and functions of the complex plane[1].
The way this is presented is very similar to how most math-folk I know picture these concepts in their head. This is probably one of the toughest things for beginners, who don't understand that (most) math-folk think in pictures like this and not in symbols.
For example, starting at around Slide 29 in the first visualization, the author actually paints a picture of a branch cut[2] without using that term.
Likewise, starting at around Slide 12 of the last visualization, the author hints at the special relationship between complex numbers and differentiation in the complex plane. The jargon-y stuff involved here are holomorphic functions[3], the Cauchy-Riemann equations[4], and the very surprising-but-central theorem of complex analysis: Cauchy's integral theorem[5].
[1]: Functions from ℂ to ℂ are "hard" to reason about because there
are 4 dimensions involved, at least if you're picturing ℂ as a
2-dimensional plane.
[2]: https://en.wikipedia.org/wiki/Branch_point#Branch_cuts
[3]: https://en.wikipedia.org/wiki/Holomorphic_function
[4]: https://en.wikipedia.org/wiki/Cauchy-Riemann_equations
[5]: https://en.wikipedia.org/wiki/Cauchy%27s_integral_theoremRe: How to Fold a Julia Fractal
#10Earlier quoted context omitted.
You would like the article on how they made it http://acko.net/blog/zero-to-sixty-in-one-second/ All of their MathBox-powered articles are wonderfull really.
nitpick: He not they . [0] Steven is also the person who developed MathBox. [1] [0] http://acko.net/about/ [1] http://acko.net/blog/making-mathbox/
Thanks for adding more information, but that's a perfectly cromulent use of the word they.