WebNov 9, 2015 · Life is Turing-complete - meaning that every Life pattern can be simulated by a Turing Machine and vice versa - so short of solving the Halting Problem, the only way of knowing how a given configuration will end up is to run the simulation.

language agnostic - What is Turing Complete? - Stack Overflow

The Game of Life, also known simply as Life, is a cellular automaton devised by the British mathematician John Horton Conway in 1970. It is a zero-player game, meaning that its evolution is determined by its initial state, requiring no further input. One interacts with the Game of Life by creating an initial … See more The universe of the Game of Life is an infinite, two-dimensional orthogonal grid of square cells, each of which is in one of two possible states, live or dead (or populated and unpopulated, respectively). Every cell interacts … See more Many patterns in the Game of Life eventually become a combination of still lifes, oscillators, and spaceships; other patterns may be called chaotic. A pattern may stay chaotic for a very long time until it eventually settles to such a combination. The Game of Life is See more On November 23, 2013, Dave Greene built the first replicator in the Game of Life that creates a complete copy of itself, including the instruction tape. In October 2024, Adam P. Goucher finished his construction of the 0E0P metacell, a metacell capable of self-replication. … See more Stanislaw Ulam, while working at the Los Alamos National Laboratory in the 1940s, studied the growth of crystals, using a simple lattice network as his model. At the same time, See more Many different types of patterns occur in the Game of Life, which are classified according to their behaviour. Common pattern types include: still lifes, which do not change from one generation to the next; oscillators, which return to their initial state after a finite … See more Until the 2010s, all known spaceships could only move orthogonally or diagonally, whereas the existence of moving patterns that … See more From most random initial patterns of living cells on the grid, observers will find the population constantly changing as the generations tick by. The patterns that emerge from the simple rules may be considered a form of mathematical beauty. Small isolated … See more WebGame of Life - Universal Turing Machine TheCommuator 117 subscribers Subscribe 1.2K Share Save 157K views 11 years ago This is a Universal Turing Machine implemented in … find the perimeter of the shape below

Conway

WebNov 22, 2024 · Unlike electricity, the Game of Life uses gliders as signals. Because two orthogonal gliders can cancel each other out or form a glider eater if they intersect with a … http://www.rendell-attic.org/gol/tm.htm WebJul 29, 2024 · Conway's game of life's is probably the most famous one because it was made by Conway, a very influential mathematician, and it's defined "on a checkerboard", … erie insurance bethel