{"id":1353,"date":"2015-07-25T09:24:12","date_gmt":"2015-07-25T01:24:12","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=1353"},"modified":"2018-05-23T16:33:29","modified_gmt":"2018-05-23T08:33:29","slug":"sierpinski-triangle-by-1d-cellular-automata-1d%e5%85%83%e5%8c%85%e8%87%aa%e5%8a%a8%e6%9c%ba%e5%ae%9e%e7%8e%b0sierpinski%e4%b8%89%e8%a7%92%e5%bd%a2","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=1353","title":{"rendered":"Sierpinski Triangle by 1D Cellular Automata [1D\u5143\u5305\u81ea\u52a8\u673a\u5b9e\u73b0Sierpinski\u4e09\u89d2\u5f62]"},"content":{"rendered":"<p>\u57fa\u4e8e1D\u5143\u5305\u81ea\u52a8\u673a\u5b9e\u73b0<strong><span style=\"color: #000000;\">Sierpinski<\/span><\/strong>\u4e09\u89d2\u5f62\uff0c\u5206\u5f62\uff08<strong><span style=\"color: #000000;\">Fractal<\/span><\/strong>\uff09\u7684\u4e00\u79cd\u3002<\/p>\n<p>1D\u5143\u5305\u521d\u59cb\u72b6\u6001\uff08<span style=\"color: #0000ff;\">Initial State of Cellls<\/span>\uff09:<\/p>\n<p style=\"padding-left: 30px;\">\u6240\u6709\u5143\u5305\u521d\u59cb\u72b6\u6001\u4e3a0\uff0c\u4e2d\u95f4\u5143\u5305\u72b6\u60011,\u5982\u4e0b\u56fe\u6240\u793a\u3002<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1360\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/07\/IDCA-InitialState.png\" alt=\"IDCA-InitialState\" width=\"387\" height=\"40\" \/><\/p>\n<p style=\"padding-left: 30px;\">\u8fd9\u79cd\u5143\u5305\u4e5f\u79f0\u6807\u51c6<strong>Wolfram<\/strong>\u6a21\u578b\u3002\u6ca1\u9519\uff01\u5c31\u662f\u5f00\u53d1<strong>Mathematica<\/strong>\u7684\u90a3\u4e2a\u5929\u624d&#8211;\u00a0<strong>Stephen\u00a0Wolfram<\/strong>\u3002<\/p>\n<p>\u5143\u5305\u6f14\u5316\u89c4\u5219\uff08<span style=\"color: #0000ff;\">Evolution Rule of Cells<\/span>\uff09\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1359\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/07\/1DCA-rule.png\" alt=\"1DCA-rule\" width=\"574\" height=\"128\" \/><\/p>\n<p style=\"padding-left: 30px;\">\u5982\u4e0a\u56fe\uff0c\u8fd9\u79cd\u6f14\u5316\u89c4\u5219\u79f0\u4e3a<strong>Rule 90<\/strong>\u3002\u56e0\u4e3a90\u8868\u793a\u4e3a\u4e8c\u8fdb\u5236\u5c31\u662f\uff1a01011010\u3002<\/p>\n<p>\u8ba1\u7b97\u673a\u5b9e\u73b0\uff08<span style=\"color: #0000ff;\">Programe the 1D \u00a0Celluar Automata<\/span>\uff09:<\/p>\n<p style=\"text-align: left; padding-left: 30px;\">\u5c06\u6240\u6709\u6f14\u5316\u8fc7\u7a0b\u7684\u72b6\u6001\u4ece\u9876\u5230\u5e95\u5806\u8d77\u6765\uff0c\u5c31\u6210\u4e86\u6f02\u4eae\u7684<span style=\"color: #0000ff;\"><span style=\"color: #000000;\">Sierpinski<\/span><\/span>\u4e09\u89d2\u5f62\u3002<\/p>\n<p style=\"text-align: left; padding-left: 30px;\"><span style=\"color: #0000ff;\">Stack all the generations of 1D CA \u00a0,with each new generation appearing below the previous , we can get the \u00a0beautiful<strong>\u00a0Sierpinski Triangle<\/strong>.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1463 size-full\" title=\"Rule90\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2015\/07\/R90.gif\" alt=\"Rule90\" width=\"600\" height=\"300\" \/><\/p>\n<p style=\"text-align: left; padding-left: 30px;\"><strong>PS.<\/strong><\/p>\n<p style=\"padding-left: 30px;\">\u00a0 \u00a0 \u00a0 \u6570\u5b66\u771f\u7f8e\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u57fa\u4e8e1D\u5143\u5305\u81ea\u52a8\u673a\u5b9e\u73b0Sierpinski\u4e09\u89d2\u5f62\u3002Sierpinski Triangle by 1D Cellular Automata\u3002<\/p>\n","protected":false},"author":1,"featured_media":8618,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,21],"tags":[208,209,131,207,211,210,132],"class_list":["post-1353","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math-geometry","category-programming","tag-ca","tag-cellular-automata","tag-fractal","tag-sierpinski-triangle","tag-sierpinski","tag-210","tag-132"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u57fa\u4e8e1D\u5143\u5305\u81ea\u52a8\u673a\u5b9e\u73b0Sierpinski\u4e09\u89d2\u5f62\u3002Sierpinski Triangle by 1D Cellular Automata\u3002\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"CJD\"\/>\n\t<meta name=\"keywords\" content=\"ca,cellular automata,fractal,sierpinski 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