The Sierpinski Triangle and The Ulam-Warburton Automaton

Abstract

This paper is about the beauty of fractals and the surprising connections between them. We will explain the pioneering role that the Sierpinski triangle plays in the Ulam-Warburton automata and show you a number of pictures along the way.

13 pages, 12 figures

References in corpus (1)

• The Toothpick Sequence and Other Sequences from Cellular Automata

Cited by in corpus (1)

• True Parallel Graph Transformations: an Algebraic Approach Based on Weak Spans