Leon Bello edited untitled.tex  over 8 years ago

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dimensionality of a fractal differs from the space it resides in, and can take non-integer values.   \[D = \frac{ln(V)}{ln(R)}\]  Thefractal dimension is a measure of how   The  primary means to study DLA is by computer simulations, where a random-walker diffuses in the lattice. When it diffuses into a "sticky" site it sticks to it and becomes "sticky" too. Further Other  walkers the that  reaches it stick as well, creating clusters. The model is simple, but the patterns produced are rich and "organic" looking. In this work, I write a simple MATLAB script to demonstrate some properties of DLA and the patterns that emerge.