Five Sierpinski Triangles in a Line Is not the Attractor of any Contractive IFS Consisting of Similitudes
Sheng Zhang · arXiv (Cornell University) · 2015
Sierpinski triangle, two Sierpinski triangles in a line, three Sierpinski triangles in a line, and four Sierpinski triangles in a line are the attractor of some contractive IFS consisting of similitudes. However, five Sierpinski triangles in a line isn't, which is proved in this paper.