We introduce the Larger than Life family of two-dimensional two-state cellular automata that generalize certain nearest neighbor outer totalistic cellular automaton rules to large neighborhoods. We describe linear and quadratic rescalings of John Conway's celebrated Game of Life to these large neighborhood cellular automaton rules and present corresponding generalizations of Life's famous gliders and spaceships. We show that, as is becoming well known for nearest neighbor cellular automaton rules, these ``digital creatures'' are ubiquitous for certain parameter values.
Publié le : 2001-07-04
Classification:
Cellular automata,
spaceships,
Game of Life,
Larger than Life,
[INFO]Computer Science [cs],
[INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG],
[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM],
[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
@article{hal-01182968,
author = {Evans, Kellie M.},
title = {Larger than Life: Digital Creatures in a Family of Two-Dimensional Cellular Automata},
journal = {HAL},
volume = {2001},
number = {0},
year = {2001},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01182968}
}
Evans, Kellie M. Larger than Life: Digital Creatures in a Family of Two-Dimensional Cellular Automata. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-01182968/