Computing by nowhere increasing complexity

A cellular automaton is presented whose governing rule is that the Kolmogorov complexity of a cell's neighborhood may not increase when the cell's present value is substituted for its future value. Using an approximation of this two-dimensional Kolmogorov complexity the underlying automaton is shown to be capable of simulating logic circuits. It is also shown to capture trianry logic described by a quandle, a non-associative algebraic structure. A similar automaton whose rule permits at times the increase of a cell's neighborhood complexity is shown to produce animated entities which can be used as information carriers akin to gliders in Conway's game of life

3D cellular automata

A cellular automaton (CA) is a set of rules which determines the state of individual cells on a grid, based on neighbourhood relations. CAs have been used by researchers to model a wide range of systems from cell growth to cosmology to universal computation. However nearly all such models have been on one or two dimensional grids. This article provides a brief history of the development of CAs and then extends the models to three dimensions using open source software; Blender and Python. New 3D rules are examined and the development of 3D cell configurations explored and visualized

Universalities in cellular automata; a (short) survey

This reading guide aims to provide the reader with an easy access to the study of universality in the field of cellular automata. To fulfill this goal, the approach taken here is organized in three parts: a detailled chronology of seminal papers, a discussion of the definition and main properties of universal cellular automata, and a broad bibliography

A guided tour of asynchronous cellular automata

Research on asynchronous cellular automata has received a great amount of attention these last years and has turned to a thriving field. We survey the recent research that has been carried out on this topic and present a wide state of the art where computing and modelling issues are both represented.Comment: To appear in the Journal of Cellular Automat