2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103909The 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 analysis15 pages, 9 figuresChaotic Dynamicstext