![]() ![]() Create a TwoDimensionalArrays directory on your V: drive and make it your current directory.EXAMPLE 23: Call the showLife function to animate a game of life.EXAMPLE 22: Develop a showLife function based on EXAMPLE 21.EXAMPLE 21: The glider moving on a 50x50 board.EXAMPLE 20: Call updateBoard to move the glider using rules of life.EXAMPLE 19: Setup a board with a glider to test updateBoard.EXAMPLE 18: Develop an updateBoard function based on EXAMPLE 17.EXAMPLE 17: Implement a step in the game of life.EXAMPLE 16: Call getLiveNeighbors to analyze several positions on a board.EXAMPLE 15: Develop a getLiveNeighbors function based on EXAMPLE 14.EXAMPLE 14: Find number of live neighbors of a cell board(r, c).EXAMPLE 13: Call the isLive function to test different board positions.EXAMPLE 12: Develop an isLive function based on EXAMPLE 11.EXAMPLE 11: Find out whether cell board(r, c) is live (true) on the board.EXAMPLE 10: Call orBoardPattern to initialize a board.EXAMPLE 9: Create an orBoardPattern function to logical OR a board pattern. ![]() EXAMPLE 8: Display a board with multiple patterns.EXAMPLE 7: Make a movie of a pattern moving on a board.EXAMPLE 6: Call addBoardPattern to add a 10x5 rectangle to a board.EXAMPLE 5: Develop a addBoardPattern function based on EXAMPLE 3.EXAMPLE 4: Display the board of EXAMPLE 3, where part of pattern is lost.EXAMPLE 3: Put rectangular pattern on a board (throw away part over edge).EXAMPLE 2: Display the board as an image with the origin in upper left.EXAMPLE 1: Put rectangular pattern on a board (assuming it fits).We are going to implement life using an array with fixed boundaries.įor a nice discussion about the game of life as well as many potential patterns that you might try for Lab 10, please see the wikipedia article Contents Ordinarily, life is played on an infinite board. The game has been shown to have the power of a universal Turing machine, which means that it is capable of computing anything that can be formulated as an algorithm. From a theoretical point of view life is interesting for many reasons. The game was introduced in the "Mathematical Games" column of the October 1970 issue of Scientific American and gave birth to the research area of cellular automata, as well as to many ideas about self-organization and evolution. A cell with exactly three live neighbours cells will have a live cell at the next step (birth).A live cell with two or three live neighbours lives (stable condition).A live cell with more than three live neighbours dies (overcrowding).A live cell with fewer than two live neighbours dies (underpopulation).This is essentially a two dimensional array so we can represent this as a property in a class called Life. To create this in PHP we first need to represent the game board. It is often used as a teaching aid in computer science both in terms of data science but also as a very simple introduction to artificial intelligence. If you look up Conway's game of life you will see a large collection of examples and programs that can be used to generate the game. ![]() This is the simulation running on a 100 by 100 game board for 100 frames. Through these simple rules a great deal of complexity can be generated.
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