The Sierpinski Triangle and The Ulam-Warburton Automaton
Tanya Khovanova, Eric Nie, and Alok Puranik
TL;DR
This paper explores the relationship between the Sierpinski triangle and the Ulam-Warburton automaton, highlighting their interconnected fractal structures through visual illustrations and historical context.
Contribution
It reveals the pioneering role of the Sierpinski triangle in understanding the Ulam-Warburton automaton and provides visual insights into their connection.
Findings
Illustrations of fractal connections between the Sierpinski triangle and Ulam-Warburton automaton
Historical explanation of their development and significance
Enhanced understanding of fractal automata structures
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.
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Taxonomy
Topicssemigroups and automata theory · Cellular Automata and Applications · Mathematical Dynamics and Fractals