Two Cellular Automata for the 3x+1 Map

Details Two Cellular Automata for the 3x+1 Map Two Cellular Automata for the 3x+1 Map

2005-02-26

arxiv.org/abs/nlin/0502061v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

10 pages, 5 figures

Scientific paper

Two simple Cellular Automata, which mimic the Collatz-Ulam iterated map (3x+1
map), are introduced. These Cellular Automata allow to test efficiently the
Collatz conjecture for very large numbers.

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