Sierpinski's triangle and the Prouhet-Thue-Morse word

dc.creatorCallan, David
dc.date2006-10-30
dc.date2006-11-18
dc.date.accessioned2026-07-07T07:29:38Z
dc.date.available2026-07-07T07:29:38Z
dc.descriptionSierpinski'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.
dc.descriptionanother reference
dc.identifierhttps://arxiv.org/abs/math/0610932
dc.identifierhttp://arxiv.org/abs/math/0610932
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118183
dc.subjectCombinatorics
dc.subject05A05; 05A10; 11B50; 68R15
dc.titleSierpinski's triangle and the Prouhet-Thue-Morse word
dc.typetext

Files

Collections