Glider Dynamics in 3-Value Hexagonal Cellular Automata: The Beehive Rule

Glider Dynamics in 3-Value Hexagonal Cellular Automata: The Beehive Rule
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三值六角元胞自动机中的滑翔机动力学:蜂巢规则

DOI:
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发表时间:
2005
影响因子:
1.7
通讯作者:
A. Wuensche
A. Wuensche
中科院分区:
计算机科学4区
文献类型:
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作者:
A. Wuensche

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我们提出了一个3值元胞自动机,它支持滑翔机,滑翔枪和自我复制或自我毁灭的滑翔机碰撞。复杂的动力学自发出现在二维和三维根据6-邻居,k-总体,“蜂窝”规则,在一个六角晶格上的二维动力学进行了详细研究。我们展示了如何可以找到类似的复杂规则,首先通过变异的复杂规则产生一个家庭的相关复杂的规则,其次通过分类规则空间的输入熵方差。各种复杂的规则开辟了找到一个共同的线索,以区分这几个规则从休息的可能性:自组织的基本原则?
We present a 3-value cellular automaton which supports gliders, gliderguns and self-reproduction or self-destruction by glider collisions. The complex dynamics emerge spontaneously in both 2d and 3d according to the 6-neighbor, k-totalistic, “beehive” rule; the 2d dynamics on a hexagonal lattice is examined in detail. We show how analogous complex rules can be found, firstly by mutating a complex rule to produce a family of related complex rules, and secondly by classifying rule-space by inputentropy variance. A variety of complex rules opens up the possibility of finding a common thread to distinguish those few rules from the rest: an underlying principle of self-organization?