3D Printable Golden Sponges

Donald Plante
Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture
Pages 451–454 Short Papers


I consider iterated function systems (IFSs) in ℝ3 with a common contraction rate λ. For certain values of λ for which the iterated function system has sufficient overlap, an approximation to the resulting attractor is structurally capable of being 3D printed.