PreprintCC BY 4.0arXiv
Game of Life on Archimedean Lattices: Glider Guns and Phase Dynamics
Abstract
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.
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BibTeX
@misc{guttesen2026game,
title = {{Game of Life on Archimedean Lattices: Glider Guns and Phase Dynamics}},
author = {Henrik Schou Guttesen},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.27622},
eprint = {2608.27622},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.27622},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Game of Life on Archimedean Lattices: Glider Guns and Phase Dynamics
AU - Henrik Schou Guttesen
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2608.27622
UR - https://arxiv.org/abs/2608.27622
AB - 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.
ER -