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A fractal set from the binary reflected Gray code

J. A. Oteo·J. Ros
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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

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J. A. Oteo, J. Ros. 2005-10-14. A fractal set from the binary reflected Gray code. https://doi.org/10.1088/0305-4470%2F38%2F41%2F007

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