solukehät

Solukehät, also known as cellular automata, are a discrete model studied in computability theory, mathematics, physics, and theoretical biology. They consist of a grid of cells, each of which can be in one of a finite number of states. The state of each cell at the next time step is determined by a fixed rule that depends on the states of its neighboring cells in the current time step.

The simplest and most famous example of a cellular automaton is Conway's Game of Life. In this two-dimensional system, cells can be either alive or dead. The rules for updating the grid are: a live cell with fewer than two live neighbors dies (underpopulation); a live cell with two or three live neighbors lives on to the next generation; a live cell with more than three live neighbors dies (overpopulation); and a dead cell with exactly three live neighbors becomes a live cell (reproduction).

Cellular automata can exhibit complex emergent behavior from simple local rules. This has led to their use in modeling a wide range of phenomena, including crystal growth, fluid dynamics, forest fires, and the evolution of biological systems. Their computational power is also a subject of interest, with some cellular automata being proven to be Turing complete, meaning they can simulate any computation that a universal Turing machine can perform. The study of solukehät explores the relationship between simple local interactions and complex global patterns, offering insights into the fundamental nature of computation and complexity.