Cellular automata can generate fractals

Willson, Stephen J.

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Publication date

April 1984

DOI

10.1016/0166-218X(84)90082-9

Publisher

Published by Elsevier B.V.

Abstract

AbstractLet L be the transition rule of a cellular automaton which is linear modulo 2. Associated to L there is defined a compact subspace of Euclidean space related to the behavior of L under iteration. It is seen that this subspace can have fractional Hausdorff dimension

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Cellular automata can generate fractals

Abstract

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Cellular automata can generate fractals

Abstract

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