2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118183Sierpinski's triangle is a fractal and the Prouhet-Thue-Morse word is sufficiently chaotic to avoid cubes. Here we observe that there is at least a tenuous connection between them: the Sierpinski triangle is evident in Pascal's triangle mod 2 whose inverse, as an infinite lower-triangular matrix, involves the Prouhet-Thue-Morse word.another referenceCombinatorics05A05; 05A10; 11B50; 68R15text