Fractal surfaces from simple arithmetic operations

Vladimir García-Morales

Physica A: Statistical Mechanics and its Applications, 2016, vol. 447, issue C, 535-544

Abstract: 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.

Keywords: Fractals; Self-affinity; Free energy landscapes; Cityscapes; Hierarchical deposition (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:447:y:2016:i:c:p:535-544

DOI: 10.1016/j.physa.2015.12.028

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