Fractal surfaces from simple arithmetic operations
Copyright policy )Fractal surfaces from simple arithmetic operations
Fractal surfaces ('patchwork quilts') are shown to arise under most general circumstances involving simple bitwise operations between real numbers. A theory is presented for all deterministic bitwise operations on a finite alphabet. It is shown that these models give rise to a roughness exponent $H$ that shapes the resulting spatial patterns, larger values of the exponent leading to coarser surfaces.
15 pages, 6 figures, minor corrections. Published in Physica A
- University of Valencia Spain
- Université de Valencia Spain
FOS: Computer and information sciences, hierarchical deposition, Other Computer Science (cs.OH), Symbolic dynamics, free energy landscapes, self-affinity, cityscapes, Fractals, Computer Science - Other Computer Science, fractals
FOS: Computer and information sciences, hierarchical deposition, Other Computer Science (cs.OH), Symbolic dynamics, free energy landscapes, self-affinity, cityscapes, Fractals, Computer Science - Other Computer Science, fractals
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