8 citations · 15 across the 8 of their papers we have counts for
8 papers
Cellular automaton model of self-healing
Henryk Fukś, José Manuel Gómez Soto
We propose a simple cellular automaton model of a self-healing system and investigate its properties. In the model, the substrate is a two-dimensional checkerboard configuration wh…
The Ameyalli-Rule: Logical Universality in a 2D Cellular Automaton
José Manuel Gómez Soto, Andrew Wuensche
We present a new spontaneously emergent glider-gun in a 2D Cellular Automaton and build the logical gates NOT, AND and OR required for logical universality. The Ameyalli-rule is no…
Isotropic Cellular Automata: the DDLab iso-rule paradigm
Andrew Wuensche, José Manuel Gómez Soto
To respect physics and nature, cellular automata (CA) models of self-organisation, emergence, computation and logical universality should be isotropic, having equivalent dynamics i…
The Variant-Rule, Another Logically Universal Rule
José Manuel Gómez Soto, Andrew Wuensche
The Variant-rule derives from the Precursor-rule by interchanging two classes of its 28 isotropic mappings. Although this small mutation conserves most glider types and stable bloc…
Minimal Glider-Gun in a 2D Cellular Automaton
José Manuel Gómez Soto, Andrew Wuensche
To understand the underlying principles of self-organisation and computation in cellular automata, it would be helpful to find the simplest form of the essential ingredients, glide…
X-Rule's Precursor is also Logically Universal
José Manuel Gómez Soto, Andrew Wuensche
We re-examine the isotropic Precursor-Rule (of the anisotropic X-Rule) and show that it is also logically universal. The Precursor-Rule was selected from a sample of biased cellula…
The X-rule: universal computation in a non-isotropic Life-like Cellular Automaton
José Manuel Gómez Soto, Andrew Wuensche
We present a new Life-like cellular automaton (CA) capable of logic universality -- the X-rule. The CA is 2D, binary, with a Moore neighborhood and parameter similar to the gam…
Exponential convergence to equilibrium in cellular automata asymptotically emulating identity
Henryk Fukś, José Manuel Gómez Soto
We consider the problem of finding the density of 1's in a configuration obtained by iterations of a given cellular automaton (CA) rule, starting from disordered initial condit…