Three-dimensional Rotation-symmetric Number-conserving Cellular Automata

被引：0

作者：

Wolnik, Barbara ^{[1
]}

Mrozek, Nikodem ^{[1
]}

Dzedzej, Adam ^{[1
]}

De Baets, Bernard ^{[2
]}

机构：

[1] Univ Gdansk, Fac Math Phys & Informat, Inst Math, PL-80308 Gdansk, Poland

[2] Univ Ghent, Dept Data Anal & Math Modelling, KERMIT, B-9000 Ghent, Belgium

来源：

JOURNAL OF CELLULAR AUTOMATA | 2020年 / 15卷 / 04期

关键词：

RULES;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We study three-dimensional rotation-symmetric cellular automata with the von Neumann neighborhood that conserve the sum of states. We show that any non-trivial such automaton requires at least seven states, which agrees with intuition based on the known results for the one- and two-dimensional cases. We also give a full characterization of these cellular automata with a seven-element state set and the result is quite surprising.

引用

页码：243 / 259

页数：17

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