The Sierpinski triangle page to end most Sierpinski triangle pages

Uh, wow, I think they earned that claim. There's so much in here, they even have a cow which fires lasers being dropped from a space shuttle. http://www.oftenpaper.net/img/understandingtheriemannsphere....

seriously going to have to look more closely at this some time, it's fascinating in a "look what you can do with math/programming/mathematica" kind of way.

One fractal to bind them all…

I especially like the way they present images + source as annotations in their article.

For those who happen to have Mathematica, try this to get a smooth, high-resolution interactive fractal explorer (make sure you have a C compiler installed):

  JuliaFP = Compile[
    {{const,_Complex}, {init,_Complex}}, 
    Module[{val=init,n=0},
      While[Abs[val]  "C", 
    RuntimeAttributes -> Listable, 
    RuntimeOptions -> "Speed"
  ];
  
  {fine, coarse} = Table[Complex[j,i], 
    {dx, {0.008, 0.002}}, {i,-1.5,1.5,dx}, {j,-1.5,1.5,dx}
  ];

  pt = {0.0,0.0};
  Graphics[{
    Raster[
      JuliaFP[Complex @@ pt/2, If[ControlActive[], fine, coarse]], 
      {{-2.0,-2.0}, {2.0,2.0}}, 
      ColorFunction-> Hue
    ],
    Locator[Dynamic[pt]]},
    ImageSize -> 800
  ] // Dynamic

P.S. Original post is awesome. I love the cow!

Totally amazing...it is itself a fractal of information, I want to go into a recursion of link-following!

Can't resist posting my Clojure implementation of the chaos game: https://github.com/Hendekagon/card