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Another cool thing about the Sierpinski gasket is that it's possible to more or less do calculus on it. You can even define a Laplacian operator. There's actual
by nilkn 13y ago
Another cool thing about the Sierpinski gasket is that it's possible to more or less do calculus on it. You can even define a Laplacian operator. There's actually a whole class of fractal-like sets on which this is possible, but SG has always been the prototypical one.
- X4 13y agoI also thought about implementing a language that bases on this, a language that sees the world in all it's shapes as raw numbers, a matrix, renderable as graphs. This is so freaking awesome, that I cannot stop thinking about the crazy new ideas this injected into me and suspect that I'm probably becoming a numberphile. Interestingly, I was just reading the Book (hardcover) with the recursive Title: "The Fractal Geometry of Nature" by Benoit Mandelbrot. And this brings an entirely new meaning into my world view after combining the ideas behind this and http://en.wikipedia.org/wiki/Multifractal_analysis#techniques http://en.wikipedia.org/wiki/Multifractal_analysis#technique...