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A (one dimensional) cellular automaton is a function1 F : Σ → Σ with the property that there is a K > 0 such that F (x)i depends only on the 2K + 1 coordinates xi−K , xi−K+1, . . . , xi−1, xi, xi+1, . . . , xi+K . A periodic point of σ is any x such that σ^p (x) = x for some p ∈ N, and a periodic point of F is any x such that F^q (x) = x for some q ∈ N. Given a cellular automaton F, a point x ∈ Σ is jointly periodic if there are p, q ∈ N such that σ^p (x) = F^q (x) = x, that is, it is a periodic point under both functions.

This project aims to explore the nature of one-dimensional Cellular Automata, in the hope of finding the structure of cellular automata through its periodic points.

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License: MIT
ubuntu2004
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/*
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* Copyright (C) 2004 Bryant Lee
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*
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* This file is part of FPeriod.
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*
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* FPeriod is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* FPeriod is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with FPeriod; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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*/
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/*
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* StorageVal
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* Stores imageNum, preperiod, and period information. This is meant to
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* be stored in some structure according to a StorageKey.
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*
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* Written by: Bryant Lee
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* Date: 11/4/04
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*/
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#ifndef STORAGE_VAL_H
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#define STORAGE_VAL_H
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#define byte unsigned char
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class StorageVal {
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public:
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int imageNum;
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unsigned int preperiod, period;
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public:
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StorageVal(int iNum);
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};
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#endif
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