[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-672513-105":59,"doc-detail-672513-en":129},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":122,"head_meta":124,"extra_data":126,"updated_unix":128},105,"en","game-of-life-cellular-automaton-overview","Game of Life - Cellular Automaton Overview","","Game of Life introduces a classic zero-player cellular automaton devised by John Horton Conway in 1970. Its evolution is fully determined by the initial configuration, requiring no ongoing human input. The document explains how interaction happens through setting an initial pattern and observing its discrete-time rule-driven behavior. It also surveys broader cellular automata concepts, including complex system behavior, computational capabilities, historical development, and examples such as glider generation.",{"@graph":69,"@context":121},[70,84,104],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":30,"@type":76,"position":81},"https://docshare.wps.com/document/technology/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/game-of-life-cellular-automaton-overview/672513/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":98,"encodingFormat":97,"isAccessibleForFree":99,"interactionStatistic":100},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/game-of-life-cellular-automaton-overview/672513.png","ImageObject",300,407,{"name":92,"@type":93},"dhado","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02",true,{"@type":101,"interactionType":102,"userInteractionCount":8},"InteractionCounter",{"@type":103},"ViewAction",{"@type":105,"mainEntity":106},"FAQPage",[107,113,117],{"name":108,"@type":109,"acceptedAnswer":110},"What is the Game of Life and why is it called a zero-player game?","Question",{"text":111,"@type":112},"The Game of Life is a cellular automaton where evolution depends only on the initial state. No further human input is required after setting the initial configuration.","Answer",{"name":114,"@type":109,"acceptedAnswer":115},"How does a person interact with the Game of Life?",{"text":116,"@type":112},"Create an initial configuration and observe how it evolves according to the rules over discrete time steps.",{"name":118,"@type":109,"acceptedAnswer":119},"What range of behaviors can cellular automata exhibit?",{"text":120,"@type":112},"Cellular automata can show ordered dynamics like fixed points and periodic limit cycles, and can also reach the edge of chaos and even chaos where computation is possible.","https://schema.org",{"og:url":83,"og:type":123,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":125,"canonical":83},"index,follow",{"doc_id":127,"site_id":62},672513,1793597981,{"code":4,"msg":5,"data":130},{"doc_id":127,"user_id":131,"nickname":92,"user_avatar":132,"doc_module":4,"category_id":29,"category_name":30,"doc_title":65,"doc_description":67,"doc_content":133,"file_id":134,"file_url":135,"file_type":136,"file_size":137,"view_count":8,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":138,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":128,"read_time":143},5909893218464,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","GAME OF LIFE  \n\n| Game of Life\u003Cbr>The Game of Life, also known simply as Life, was devised by the British mathematician John Horton Conway in 1970, and is an example of a cellular automaton\u003Cbr>The \"game\" is a zero-player game, meaning that its\u003Cbr>evolution is determined by its initial state,\u003Cbr>requiring no further input from humans .\u003Cbr>One interacts with the Game of Life by creating\u003Cbr>an initial configuration and observing how it\u003Cbr>evolves .\u003Cbr>Gosper's Glider Gun creating \"gliders\"\u003Cbr>image after\u003Cbr>[http://en.wikipedia.org/wiki/Conway](http://en.wikipedia.org/wiki/Conway)'s Game of Life\\#cite note-0\u003Cbr>|\n| --- |\n| 2 48-624 Parametric Modeling |\n\n\n| game of life is a kind of cellular automata\u003Cbr>✴ A cellular automaton is a collection of \"colored\" cells on a grid of a specified shape that evolves through a number of discrete time steps according to a set of rules based on the states of neighboring cells. |\n| --- |\n| 3 48-624 Parametric Modeling |\n\n\n| a digression into cellular automata\u003Cbr>✴ complex systems consisting of many and similar parts\u003Cbr>✴ behavior of any single part is clearly understood but the behavior of the whole defies simple explanation\u003Cbr>✴ real phenomena |\n| --- |\n| 4 48-624 Parametric Modeling |\n\n\n| complex systems\u003Cbr>✴ autocatalytic chemical sets\u003Cbr>✴ cellular regulation-gene excitation and inhibition\u003Cbr>✴ statistical mechanical systems\u003Cbr>✴ multi-cellular animals\u003Cbr>✴ super organism collectives:\u003Cbr>✴ ant colony, bee hives, flock of birds, school of fish, oceanic reef\u003Cbr>✴ ecosystems, economies, societies |\n| --- |\n| 5 48-624 Parametric Modeling |\n\n\n| cellular automata CA\u003Cbr>✴ dynamic system that is discrete in space and time\u003Cbr>✴ CA exhibit a range of behavior from\u003Cbr>✴ order\u003Cbr>simple fixed point dynamics\u003Cbr>periodic limit cycles\u003Cbr>✴ edge of chaos\u003Cbr>where true computation is possible\u003Cbr>✴ chaos |\n| --- |\n| 6 48-624 Parametric Modeling |\n\n\n| history\u003Cbr>invented by von Neumann with help from Stanislaw Ulam\u003Cbr>– further developed by Stephen Wolfram\u003Cbr>a two-dimensional CA is equivalent to a\u003Cbr>Turing machine and hence capable of\u003Cbr>universal computation |\n| --- |\n| 7 48-624 Parametric Modeling |\n\n\n| one dimensional CA\u003Cbr>Linear grid of cells extending to the left and right, where each cell is in one of a finite number of states and at each time step, the next state of the cell is a function of the states of its local neighborhood in space |  |  |\n| --- | --- | --- |\n| \u003Cbr>\u003Cbr>Time | Ci-r (t) | radius \u003Cbr>Ci-1 (t)\u003Cbr>Ci (t)\u003Cbr>Ci+1 (t)\u003Cbr>Ci+r (t)\u003Cbr> Space  |\n| 8 48-624 Parametric Modeling |  |  |\n\n\n| ca rule\u003Cbr>Radius r=1, States k=2 |  |\n| --- | --- |\n| k2r+1 States | Ci-1 (t) Ci (t) Ci+1 (t) Ci (t+1) 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 |\n| \u003Cbr>9 48-624 Parametric Modeling |  |\n\n\n| simplifying a ca rule\u003Cbr>✴ as r and k get larger the number of entries in a rule get exponentially larger\u003Cbr>✴ “If neighborhood cells are all off or all on, next state is off, otherwise next state is on”\u003Cbr>✴ The next state is 1 iff the sum of the states in a neighborhood is 1 or 2\u003Cbr>✴ representing all states using k (2r+1) digits 0110\u003Cbr>✴ easier to implement on a machine |\n| --- |\n| 10 48-624 Parametric Modeling |","cbCaiiLihkwsrCeL","https://ap.wps.com/l/cbCaiiLihkwsrCeL","pdf",702998,21,"English","# Game of Life\n## Cellular automata basics\n## Complex systems and real phenomena\n## Behaviors and computation\n## History and equivalence to Turing machines\n## One-dimensional CA and CA rules","[{\"question\":\"What is the Game of Life and why is it called a zero-player game?\",\"answer\":\"The Game of Life is a cellular automaton where evolution depends only on the initial state. No further human input is required after setting the initial configuration.\"},{\"question\":\"How does a person interact with the Game of Life?\",\"answer\":\"Create an initial configuration and observe how it evolves according to the rules over discrete time steps.\"},{\"question\":\"What range of behaviors can cellular automata exhibit?\",\"answer\":\"Cellular automata can show ordered dynamics like fixed points and periodic limit cycles, and can also reach the edge of chaos and even chaos where computation is possible.\"}]","Game of Life - Cellular Automaton Overview | PDF",53]