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Cellular automata have found application in various areas, including physics, theoretical biology and microstructure modeling. A cellular automaton consists of a regular grid of cells, each in one of a finite number of states, such as on and off (in contrast to a coupled map lattice). The grid can be in any finite number of dimensions.
Golly is a tool for the simulation of cellular automata.It is free open-source software written by Andrew Trevorrow and Tomas Rokicki; [3] it can be scripted using Lua [1] or Python.
A cellular automaton is a type of model studied in mathematics and theoretical biology consisting of a regular grid of cells, each in one of a finite number of states, such as "on" and "off". A pattern in the Life without Death cellular automaton consists of an infinite two-dimensional grid of cells, each of which can be in one of two states ...
On-lattice models such as cellular automata or cellular potts restrict the spatial arrangement of the cells to a fixed grid. The mechanical interactions are then carried out according to literature-based rules (cellular automata) [4] or by minimizing the total energy of the system (cellular potts), [5] resulting in cells being displaced from one grid point to another.
Cellular automata are commonly implemented as software programs. However, in 1993, Lent et al. proposed a physical implementation of an automaton using quantum-dot cells. . The automaton quickly gained popularity and it was first fabricated in 19
A state of the Rule 184 automaton consists of a one-dimensional array of cells, each containing a binary value (0 or 1). In each step of its evolution, the Rule 184 automaton applies the following rule to each of the cells in the array, simultaneously for all cells, to determine the new state of the cell: [3]
Rule 30 is an elementary cellular automaton introduced by Stephen Wolfram in 1983. [2] Using Wolfram's classification scheme , Rule 30 is a Class III rule, displaying aperiodic, chaotic behaviour. This rule is of particular interest because it produces complex, seemingly random patterns from simple, well-defined rules.
The sandpile model is a cellular automaton originally defined on a rectangular grid (checkerboard) of the standard square lattice.To each vertex (site, field) (,) of the grid, we associate a value (grains of sand, slope, particles) (,) {,,,}, with {,,,} referred to as the (initial) configuration of the sandpile.