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The fractal structure of cellular automata on Abelian groups
Discrete Mathematics (cs.DM) Quantum Physics (quant-ph)
2010/11/8
It is well-known that the spacetime diagrams of some cellular automata have a fractal structure: for instance Pascal's triangle modulo 2 generates a Sierpinski triangle. Explaining the fractal structu...
From thunderous mountain landscapes viewed from above to the erratic trajectories of Brownian motion, fractal patterns exist at many scales in nature. Physicists believe that fractals also exist in th...