AI 中文总结
本文在六种复合阿基米德晶格上研究康威生命游戏，利用对称性约束进化搜索算法在卡戈梅晶格构建新型滑翔机枪，还提出带相位自由度的细胞，为相关计算提供可能。
AI 中文摘要
我在六种复合阿基米德晶格上探究康威生命游戏（GoL）。在卡戈梅（Kagome）晶格上，各类输入中频繁出现小型滑翔机与 puffers（ puffers 为生命游戏中特定术语，保留原名），我利用对称性约束进化搜索算法的输出构建了一种新型滑翔机枪。该滑翔机枪包含四个相互作用的 bouncers（生命游戏术语，保留原名），每 276 代稳定发射一架小型滑翔机。作为经典 GoL 的延伸，我还提出具有相位自由度及相关局部相位规则的细胞，在卡戈梅晶格上，该规则被证实可承载相位周期性滑翔机，这为基于相位敏感与干涉的计算提供了可能。
英文摘要
I explore Conway's Game of Life (GoL) on six composite Archimedean lattices. On the Kagome lattice, on which small gliders and puffers appear particularly frequently across inputs, I use the output of a symmetry-constrained evolutionary search algorithm to construct a novel glider gun. The glider gun comprises four interacting bouncers and stably emits a small glider every 276th generation. Serving as an extension of classical GoL, I also propose cells with a phase degree of freedom and an associated local phase rule, which on the Kagome lattice is demonstrated to host phase-periodic gliders. This enables the possibility of phase-sensitive and interference-based computations.
Comments9 pages, 11 figures; accepted for publication in the Journal of Cellular Automata; code available at https://github.com/henrisro313/Games_of_life
