A fractal set from the binary reflected Gray code

doi:10.1088/0305-4470/38/41/007

A fractal set from the binary reflected Gray code

by J A Oteo, J Ros

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Journal of Physics A: Mathematical and General (2005)

Volume: 38, Issue: 41, Pages: 15

DOI: 10.1088/0305-4470/38/41/007
arXiv: nlin/0510032

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Abstract

The permutation associated with the decimal expression of the binary reflected Gray code with N bits is considered. Its cycle structure is studied. Considered as a set of points, its self-similarity is pointed out. As a fractal, it is shown to be the attractor of a IFS. For large values of N the set is examined from the point of view of time series analysis