{"id":3258,"date":"2021-11-09T22:33:41","date_gmt":"2021-11-09T22:33:41","guid":{"rendered":"https:\/\/alife.org\/?post_type=encyclopedia&#038;p=3258"},"modified":"2022-07-19T23:51:17","modified_gmt":"2022-07-19T23:51:17","slug":"lenia","status":"publish","type":"encyclopedia","link":"https:\/\/alife.org\/encyclopedia\/software-platforms\/lenia\/","title":{"rendered":"Lenia"},"content":{"rendered":"\n<p><a href=\"https:\/\/chakazul.github.io\/lenia.html\">Lenia<\/a> is a class of continuous <a href=\"https:\/\/alife.org\/encyclopedia\/introduction\/cellular-automata\/\" target=\"_blank\" title=\"A cellular automaton (plural: cellular automata) is composed of a grid of cells. Traditionally, cells can be in a finite number of discrete states, although some more modern variations on cellular automata have changed this rule. A set of global rules determine how cells transition from state to state as time advances. Often, these update&hellip;\" class=\"encyclopedia\">cellular automata<\/a> systems <span class=\"zp-InText-zp-ID--4204406-HZ9VCY7B-_-4204406-779FNS2Q--wp3258 zp-InText-Citation loading\" rel=\"{ 'pages': 'np', 'items': '{4204406:HZ9VCY7B},{4204406:779FNS2Q}', 'format': '(%a%, %d%, %p%)', 'brackets': '', 'etal': '', 'separator': '', 'and': '' }\"><\/span>. It was the topic of the ISAL Award for outstanding paper of 2019 and an entry in the 2018 ALife Art competition which won an honorable mention. It produces a wide range of emergent patterns, including individuation, self-replication, and intercommunication between colonies. Over 400 different &ldquo;species&rdquo; of emergent process have been identified in Lenia, including the <em>Orbium<\/em>, which is often thought of as a continuous analog to gliders in Conway&rsquo;s Game of Life. <\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<p class=\"responsive-video-wrap clr\"><iframe loading=\"lazy\" title=\"Orbium phantasma\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/ij1k2pxdQNU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<\/div><figcaption>A fancy rendering of an Orbium<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<p class=\"responsive-video-wrap clr\"><iframe loading=\"lazy\" title=\"Lenia: Expanded Universe 1080p\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/HT49wpyux-k?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<\/div><figcaption>A video of some cool emergent phenomena in Lenia<\/figcaption><\/figure>\n\n\n\n<p>Recent refinements to Lenia include Asymptotic Lenia, which produces even smoother entities capable of greater levels of complexity <span class=\"zp-InText-zp-ID--4204406-WST3RWN9--wp3258 zp-InText-Citation loading\" rel=\"{ 'pages': 'np', 'items': '{4204406:WST3RWN9}', 'format': '(%a%, %d%, %p%)', 'brackets': '', 'etal': '', 'separator': '', 'and': '' }\"><\/span>. Lenia has also recently been used as a test-bed for novel machine-learning techniques <span class=\"zp-InText-zp-ID--4204406-QYXSXB3M-_-4204406-4NJR9HSS--wp3258 zp-InText-Citation loading\" rel=\"{ 'pages': 'np', 'items': '{4204406:QYXSXB3M},{4204406:4NJR9HSS}', 'format': '(%a%, %d%, %p%)', 'brackets': '', 'etal': '', 'separator': '', 'and': '' }\"><\/span>.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<p class=\"responsive-video-wrap clr\"><iframe loading=\"lazy\" title=\"Asymptotic Lenia\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/jwAqkMJzCJA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<\/div><figcaption>Asymptotic Lenia<\/figcaption><\/figure>\n\n\n\n<h1 class=\"wp-block-heading\">More information<\/h1>\n\n\n\n<p>All things Lenia are linked to from <a href=\"https:\/\/chakazul.github.io\/lenia.html\">Bert Chan&rsquo;s Lenia Portal<\/a>.<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">References<\/h1>\n\n\n\n\n<div id=\"zp-InTextBib-zotpress-8e75f80ea4c3df616de7081b6e2d3605\" class=\"zp-Zotpress zp-Zotpress-InTextBib wp-block-group zp-Post-3258\">\r\n\t\t<span class=\"ZP_ITEM_KEY\" style=\"display: none;\">{4204406:HZ9VCY7B},{4204406:779FNS2Q};{4204406:WST3RWN9};{4204406:QYXSXB3M},{4204406:4NJR9HSS}<\/span>\r\n\t\t<span class=\"ZP_STYLE\" style=\"display: none;\">apa<\/span>\r\n\t\t<span class=\"ZP_SORTBY\" style=\"display: none;\">default<\/span>\r\n\t\t<span class=\"ZP_ORDER\" style=\"display: none;\">asc<\/span>\r\n\t\t<span class=\"ZP_TITLE\" style=\"display: none;\">no<\/span>\r\n\t\t<span class=\"ZP_SHOWIMAGE\" style=\"display: none;\"><\/span>\r\n\t\t<span class=\"ZP_SHOWTAGS\" style=\"display: none;\"><\/span>\r\n\t\t<span class=\"ZP_DOWNLOADABLE\" style=\"display: none;\"><\/span>\r\n\t\t<span class=\"ZP_NOTES\" style=\"display: none;\"><\/span>\r\n\t\t<span class=\"ZP_ABSTRACT\" style=\"display: none;\"><\/span>\r\n\t\t<span class=\"ZP_CITEABLE\" style=\"display: none;\"><\/span>\r\n\t\t<span class=\"ZP_TARGET\" style=\"display: none;\"><\/span>\r\n\t\t<span class=\"ZP_URLWRAP\" style=\"display: none;\"><\/span>\r\n\t\t<span class=\"ZP_FORCENUM\" style=\"display: none;\"><\/span>\r\n\t\t<span class=\"ZP_HIGHLIGHT\" style=\"display: none;\"><\/span>\r\n\t\t<span class=\"ZP_POSTID\" style=\"display: none;\">3258<\/span><div class=\"zp-List loading\">\n<div class=\"zp-SEO-Content\">\t\t\t\t<span class=\"ZP_JSON\" style=\"display: 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id=\"zp-ID-3258-4204406-779FNS2Q\" data-zp-author-date=\"Chan-2019-10-15\" data-zp-date-author=\"2019-10-15-Chan\" data-zp-date=\"2019-10-15\" data-zp-year=\"2019\" data-zp-itemtype=\"journalArticle\" class=\"zp-Entry zpSearchResultsItem\">\n<div class=\"csl-bib-body\" style=\"line-height: 2; padding-left: 1em; text-indent:-1em;\">\n  <div class=\"csl-entry\">Chan, B. W.-C. (2019). Lenia: Biology of <a href=\"https:\/\/alife.org\/encyclopedia\/introduction\/artificial-life\/\" target=\"_blank\" title=\"What is it? Artificial Life (ALife, a-life, Alife) is a very broad field that intersects with many other fields, including biology, chemistry, computer science, engineering, art, philosophy, astronomy, and more. Because of this, it is difficult to pin down an exact definition, but you can generally think of it as anything that examines the properties&hellip;\" class=\"encyclopedia\">Artificial Life<\/a>. <i>Complex Systems<\/i>, <i>28<\/i>(3), 251&ndash;286. <a href=\"https:\/\/doi.org\/10\/ggf344\">https:\/\/doi.org\/10\/ggf344<\/a><\/div>\n<\/div>\n\t\t\t\t<\/div><!-- .zp-Entry .zpSearchResultsItem -->\t\t\t\t<div id=\"zp-ID-3258-4204406-HZ9VCY7B\" data-zp-author-date=\"Chan-2020-07-01\" data-zp-date-author=\"2020-07-01-Chan\" data-zp-date=\"2020-07-01\" data-zp-year=\"2020\" data-zp-itemtype=\"conferencePaper\" class=\"zp-Entry zpSearchResultsItem\">\n<div class=\"csl-bib-body\" style=\"line-height: 2; padding-left: 1em; text-indent:-1em;\">\n  <div class=\"csl-entry\">Chan, B. W.-C. (2020). <i>Lenia and Expanded Universe<\/i>. 221&ndash;229. <a href=\"https:\/\/doi.org\/10\/gm3wrq\">https:\/\/doi.org\/10\/gm3wrq<\/a><\/div>\n<\/div>\n\t\t\t\t<\/div><!-- .zp-Entry .zpSearchResultsItem -->\t\t\t\t<div id=\"zp-ID-3258-4204406-QYXSXB3M\" data-zp-author-date=\"Etcheverry-et-al.-2020\" data-zp-date-author=\"2020-Etcheverry-et-al.\" data-zp-date=\"2020\" data-zp-year=\"2020\" data-zp-itemtype=\"conferencePaper\" class=\"zp-Entry zpSearchResultsItem\">\n<div class=\"csl-bib-body\" style=\"line-height: 2; padding-left: 1em; text-indent:-1em;\">\n  <div class=\"csl-entry\">Etcheverry, M., Moulin-Frier, C., &amp; Oudeyer, P.-Y. (2020). Hierarchically organized latent modules for exploratory search in morphogenetic systems. In H. Larochelle, M. Ranzato, R. Hadsell, M. F. Balcan, &amp; H. Lin (Eds.), <i>Advances in neural information processing systems<\/i> (Vol. 33, pp. 4846&ndash;4859). Curran Associates, Inc. <a href=\"https:\/\/proceedings.neurips.cc\/paper\/2020\/file\/33a5435d4f945aa6154b31a73bab3b73-Paper.pdf\">https:\/\/proceedings.neurips.cc\/paper\/2020\/file\/33a5435d4f945aa6154b31a73bab3b73-Paper.pdf<\/a><\/div>\n<\/div>\n\t\t\t\t<\/div><!-- .zp-Entry .zpSearchResultsItem -->\t\t\t\t<div id=\"zp-ID-3258-4204406-4NJR9HSS\" data-zp-author-date=\"Reinke-et-al.-2020-04\" data-zp-date-author=\"2020-04-Reinke-et-al.\" data-zp-date=\"2020-04\" data-zp-year=\"2020\" data-zp-itemtype=\"conferencePaper\" class=\"zp-Entry zpSearchResultsItem\">\n<div class=\"csl-bib-body\" style=\"line-height: 2; padding-left: 1em; text-indent:-1em;\">\n  <div class=\"csl-entry\">Reinke, C., Etcheverry, M., &amp; Oudeyer, P.-Y. (2020, April). <i>Intrinsically Motivated Discovery of Diverse Patterns in Self-Organizing Systems<\/i>. Eighth International Conference on Learning Representations. <a href=\"https:\/\/iclr.cc\/virtual_2020\/poster_rkg6sJHYDr.html\">https:\/\/iclr.cc\/virtual_2020\/poster_rkg6sJHYDr.html<\/a><\/div>\n<\/div>\n\t\t\t\t<\/div><!-- .zp-Entry .zpSearchResultsItem -->\t\t\t\t<div id=\"zp-ID-3258-4204406-WST3RWN9\" data-zp-author-date=\"Kawaguchi-et-al.-2021-07-19\" data-zp-date-author=\"2021-07-19-Kawaguchi-et-al.\" data-zp-date=\"2021-07-19\" data-zp-year=\"2021\" data-zp-itemtype=\"conferencePaper\" class=\"zp-Entry zpSearchResultsItem\">\n<div class=\"csl-bib-body\" style=\"line-height: 2; padding-left: 1em; text-indent:-1em;\">\n  <div class=\"csl-entry\">Kawaguchi, T., Suzuki, R., Arita, T., &amp; Chan, B. (2021, July 19). <i>Introducing asymptotics to the state-updating rule in Lenia<\/i>. ALIFE 2021: The 2021 Conference on Artificial Life. <a href=\"https:\/\/doi.org\/10\/gk86dh\">https:\/\/doi.org\/10\/gk86dh<\/a><\/div>\n<\/div>\n\t\t\t\t<\/div><!-- .zp-Entry .zpSearchResultsItem --><\/div><!-- .zp-zp-SEO-Content -->\n<\/div><!-- .zp-List --><\/div><!--.zp-Zotpress-->\n\n\n","protected":false},"excerpt":{"rendered":"<p>Lenia is a class of continuous cellular automata systems. It was the topic of the ISAL Award for outstanding paper of 2019 and an entry in the 2018 ALife Art competition which won an honorable mention.<\/p>\n","protected":false},"author":2,"featured_media":3260,"template":"","encyclopedia-category":[121],"encyclopedia-tag":[148,147,151,152,153],"coauthors":[89],"_links":{"self":[{"href":"https:\/\/alife.org\/wp-json\/wp\/v2\/encyclopedia\/3258"}],"collection":[{"href":"https:\/\/alife.org\/wp-json\/wp\/v2\/encyclopedia"}],"about":[{"href":"https:\/\/alife.org\/wp-json\/wp\/v2\/types\/encyclopedia"}],"author":[{"embeddable":true,"href":"https:\/\/alife.org\/wp-json\/wp\/v2\/users\/2"}],"version-history":[{"count":2,"href":"https:\/\/alife.org\/wp-json\/wp\/v2\/encyclopedia\/3258\/revisions"}],"predecessor-version":[{"id":3332,"href":"https:\/\/alife.org\/wp-json\/wp\/v2\/encyclopedia\/3258\/revisions\/3332"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/alife.org\/wp-json\/wp\/v2\/media\/3260"}],"wp:attachment":[{"href":"https:\/\/alife.org\/wp-json\/wp\/v2\/media?parent=3258"}],"wp:term":[{"taxonomy":"encyclopedia-category","embeddable":true,"href":"https:\/\/alife.org\/wp-json\/wp\/v2\/encyclopedia-category?post=3258"},{"taxonomy":"encyclopedia-tag","embeddable":true,"href":"https:\/\/alife.org\/wp-json\/wp\/v2\/encyclopedia-tag?post=3258"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/alife.org\/wp-json\/wp\/v2\/coauthors?post=3258"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}