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[ Screenshots Blog ]
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| Early January, 2010 - Sierpinski Triangle variation |  |  |  |  | | | This is an implementation of a variation of the Sierpinski Triangle using an intuitive algorithm outlined in The Essence of Chaos by E. Lorenz that I finished reading. Consider a square of power-of-2 side length that is subdivided into four squares, discarding the top right square and continuing the algorithm recursively until the boxes of a small enough size are shaded. The result is a fractal whose fractal dimension is log(number of subdivided squares kept) / log(reduction in each spatial direction) = log(3)/log(2) ~= 1.585.
Note that if all four squares are kept then the formula gives log(4)/log(2) = 2, which implies that a completely shaded square is not a fractal because all fractals must have a noninteger fractal dimension. | |
| Early January, 2010 - Quarter million particles | |  | | | | | This was an experiment of iterating a quarter million particles in real-time using a simple algorithm to determine movement. Each pixel is rendered with shade of blue dependent on the density of particles that are inside it. The particles move to a neighboring cell by a constant probability, and which of the eight cells is determined taking into account the lesser likelihood of the corners over the sides. The matter is a compressible fluid.
The fluid eventually settles at the bottom taking up a much smaller volume than it started. | |
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