2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98728We investigate the row sum of the binary pattern generated by the Sierpinski automaton: Interpreted as a time series we calculate the power spectrum of this Sierpinski signal analytically and obtain a unique rugged fine structure with underlying power law decay with an exponent of approximately 1.15. Despite the simplicity of the model, it can serve as a model for $1/f^α$ spectra in a certain class of experimental and natural systems like catalytic reactions and mollusc patterns.4 pages (4 figs included). Accepted for publication in Physical Review EStatistical Mechanicstext