{"id":33616,"date":"2018-12-01T10:12:47","date_gmt":"2018-12-01T08:12:47","guid":{"rendered":"http:\/\/omathimatikos.gr\/?p=33616"},"modified":"2018-11-29T18:20:36","modified_gmt":"2018-11-29T16:20:36","slug":"%cf%84%ce%b9-%ce%b5%ce%af%ce%bd%ce%b1%ce%b9-%ce%b7-%ce%b1%ce%ba%ce%bf%ce%bb%ce%bf%cf%85%ce%b8%ce%af%ce%b1-%cf%86%ce%b9%ce%bc%cf%80%ce%bf%ce%bd%ce%ac%cf%84%cf%83%ce%b9-%cf%83%cf%84%ce%bf","status":"publish","type":"post","link":"https:\/\/omathimatikos.gr\/?p=33616","title":{"rendered":"\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u00ab\u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03a6\u03b9\u03bc\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9\u00bb \u03c3\u03c4\u03bf\u03bd \u039a\u03ce\u03b4\u03b9\u03ba\u03b1 \u039d\u03c4\u03b1 \u0392\u03af\u03bd\u03c4\u03c3\u03b9;"},"content":{"rendered":"<blockquote>\n<h3><!--more-->\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u00ab\u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03a6\u03b9\u03bc\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9\u00bb \u03c3\u03c4\u03bf\u03bd \u039a\u03ce\u03b4\u03b9\u03ba\u03b1 \u039d\u03c4\u03b1 \u0392\u03af\u03bd\u03c4\u03c3\u03b9;<\/h3>\n<\/blockquote>\n<section id=\"sp-homepage-articles\">\n<div class=\"container\">\n<div class=\"row\">\n<div id=\"sp-component\" class=\"col-sm-7 col-md-7\">\n<div class=\"sp-column \">\n<div class=\"itemBody\">\n<div class=\"itemHeader\">\n<div class=\"itemFullText\">\n<h4><strong>\u0397 \u00ab\u0391\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03a6\u03b9\u03bc\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9\u00bb<\/strong> \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03c0\u03c1\u03ce\u03c4\u03b7 \u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ac \u03c3\u03ba\u03b7\u03bd\u03ae \u03c4\u03b7\u03c2 \u03c4\u03b1\u03b9\u03bd\u03af\u03b1\u03c2 (\u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 \u03b2\u03b9\u03b2\u03bb\u03af\u03bf\u03c5 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ac) \u03c4\u03bf\u03c5 <strong>\u00ab\u039a\u03ce\u03b4\u03b9\u03ba\u03b1 \u039d\u03c4\u03b1 \u0392\u03af\u03bd\u03c4\u03c3\u03b9\u00bb<\/strong>.<\/h4>\n<p><iframe loading=\"lazy\" src=\"http:\/\/www.youtube.com\/embed\/S0_ziCEzvAY#t=21?rel=0&amp;x-yt-ts=1421914688&amp;x-yt-cl=84503534\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/p>\n<p><strong>\u0397 \u03b1\u03bb\u03ae\u03b8\u03b5\u03b9\u03b1 \u03cc\u03bc\u03c9\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03b7 \u00ab\u0391\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03a6\u03b9\u03bc\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9\u00bb<\/strong> \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03bf\u03bb\u03cd \u03c3\u03c5\u03c7\u03bd\u03ac \u03b3\u03cd\u03c1\u03c9 \u03bc\u03b1\u03c2, \u03c4\u03b9\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03c6\u03bf\u03c1\u03ad\u03c2 \u03c7\u03c9\u03c1\u03af\u03c2 \u03ba\u03b1\u03bd \u03bd\u03b1 \u03c4\u03bf \u03b1\u03bd\u03c4\u03b9\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03cc\u03bc\u03b1\u03c3\u03c4\u03b5 \u03ae \u03bd\u03b1 \u03c4\u03bf \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5. \u03a0\u03ac\u03bc\u03b5, \u03cc\u03c3\u03bf \u03b1\u03c0\u03bb\u03ac \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9, \u03bd\u03b1 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c5\u03c4\u03ae \u03b7 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/i0.wp.com\/www.mentality10.com\/images\/ARTICLES\/MATRIX\/KOSMOS\/Fibonacci.jpg?w=700\" alt=\"Fibonacci\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>\u039f \u039b\u03b5\u03bf\u03bd\u03ac\u03c1\u03bd\u03c4\u03bf \u03c4\u03b7\u03c2 \u03a0\u03af\u03b6\u03b1\u03c2 \u03ae \u03a6\u03b9\u03bc\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9<\/strong> (\u03b3\u03b5\u03bd\u03bd. \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 \u03c3\u03c4\u03b1 1170 \u03ba\u03b1\u03b9 \u03c0\u03ad\u03b8\u03b1\u03bd\u03b5 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 \u03c4\u03bf 1250, \u03c0\u03b9\u03b8\u03b1\u03bd\u03ce\u03c2 \u03c3\u03c4\u03b7\u03bd \u03a0\u03af\u03b6\u03b1) \u03ae\u03c4\u03b1\u03bd<strong> \u0399\u03c4\u03b1\u03bb\u03cc\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2<\/strong> \u03c0\u03bf\u03c5 \u03ad\u03bc\u03b5\u03b9\u03bd\u03b5 \u03c3\u03c4\u03b7\u03bd \u03b9\u03c3\u03c4\u03bf\u03c1\u03af\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c6\u03b7\u03bc\u03b7 \u03c6\u03b5\u03c1\u03ce\u03bd\u03c5\u03bc\u03b7 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03c4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03c3\u03c4\u03b7\u03bd \u0395\u03c5\u03c1\u03ce\u03c0\u03b7 \u03c4\u03bf\u03c5<strong> \u03b1\u03c1\u03b1\u03b2\u03b9\u03ba\u03bf\u03cd \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03bf\u03cd \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2<\/strong> \u03b1\u03c1\u03af\u03b8\u03bc\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b8\u03ce\u03c2 \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03ba\u03b1\u03b9\u03bd\u03bf\u03c4\u03bf\u03bc\u03b9\u03ce\u03bd \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03c3\u03ba\u03bf\u03c4\u03b5\u03b9\u03bd\u03ae \u03b5\u03c0\u03bf\u03c7\u03ae \u03b3\u03b9\u03b1 \u03c4\u03b9\u03c2 \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b5\u03c2 \u03c3\u03c4\u03b7\u03bd \u0395\u03c5\u03c1\u03ce\u03c0\u03b7. \u0389\u03c4\u03b1\u03bd \u03b3\u03b9\u03bf\u03c2 \u03c4\u03bf\u03c5 \u0393\u03ba\u03b9\u03b3\u03b9\u03ad\u03c1\u03bc\u03bf \u039c\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9 (Bonacci, \u03c0\u03bf\u03c5 \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03b1\u03c0\u03bb\u03cc\u03c2), \u03b5\u03be \u03bf\u03c5 \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c0\u03b1\u03c1\u03ce\u03bd\u03c5\u03bc\u03cc \u03c4\u03bf\u03c5 \u03a6\u03b9\u03bc\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9 (\u03b3\u03b9\u03bf\u03c2 \u03c4\u03bf\u03c5 \u039c\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9: \u03c6\u03af\u03bb\u03b9\u03bf\u03c5\u03c2 \u03bc\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9).<\/p>\n<p><strong>\u039c\u03b5\u03c4\u03ac \u03b1\u03c0\u03cc \u03c4\u03b1 \u03c4\u03b1\u03be\u03af\u03b4\u03b9\u03b1 \u03c0\u03bf\u03c5 \u03ba\u03ac\u03bd\u03b5\u03b9 \u03bc\u03b1\u03b6\u03af<\/strong> \u03bc\u03b5 \u03c4\u03bf\u03bd \u03ad\u03bc\u03c0\u03bf\u03c1\u03bf \u03c0\u03b1\u03c4\u03ad\u03c1\u03b1 \u03c4\u03bf\u03c5 \u03c3\u03c4\u03b7 \u0392\u03cc\u03c1\u03b9\u03bf \u0391\u03c6\u03c1\u03b9\u03ba\u03ae, \u03b5\u03c0\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03b5\u03b9 \u03b3\u03cd\u03c1\u03c9 \u03c3\u03c4\u03bf 1200 \u03c3\u03c4\u03b7\u03bd \u03a0\u03af\u03b6\u03b1, \u03cc\u03c0\u03bf\u03c5 \u03b3\u03c1\u03ac\u03c6\u03b5\u03b9 \u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03b1 \u03c4\u03b1 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b5\u03af\u03bc\u03b1\u03c3\u03c4\u03b5 \u03ba\u03b1\u03b9 \u03c4\u03c5\u03c7\u03b5\u03c1\u03bf\u03af \u03bd\u03b1 \u03ba\u03b1\u03c4\u03ad\u03c7\u03bf\u03c5\u03bc\u03b5, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03c4\u03b7\u03bd \u03b5\u03c0\u03bf\u03c7\u03ae \u03c4\u03bf\u03c5 \u03b4\u03b5\u03bd \u03b5\u03af\u03c7\u03b5 \u03b5\u03c6\u03b5\u03c5\u03c1\u03b5\u03b8\u03b5\u03af \u03b7 \u03c4\u03c5\u03c0\u03bf\u03b3\u03c1\u03b1\u03c6\u03af\u03b1. \u03a4\u03bf 1202 \u03b4\u03b7\u03bc\u03bf\u03c3\u03b9\u03b5\u03cd\u03b5\u03b9 \u03c4\u03bf liber abaci \u03ae \u03b2\u03b9\u03b2\u03bb\u03af\u03bf \u03c4\u03c9\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03ce\u03bd, \u03b3\u03b5\u03bc\u03ac\u03c4\u03bf \u03bc\u03b5 \u03c4\u03b9\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b3\u03bd\u03ce\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03af\u03c7\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c5\u03bb\u03bb\u03ad\u03be\u03b5\u03b9 \u03c3\u03c4\u03b1 \u03c4\u03b1\u03be\u03af\u03b4\u03b9\u03b1 \u03c4\u03bf\u03c5.<\/p>\n<p><strong>\u0388\u03b4\u03b5\u03b9\u03c7\u03bd\u03b5 \u03c4\u03b7\u03bd \u03c0\u03c1\u03b1\u03ba\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03b1\u03c1\u03b1\u03b2\u03b9\u03ba\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2<\/strong> \u03c3\u03c4\u03b7\u03bd \u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03b5\u03bc\u03c0\u03bf\u03c1\u03b9\u03ba\u03ce\u03bd \u03b2\u03b9\u03b2\u03bb\u03af\u03c9\u03bd, \u03c3\u03c4\u03b9\u03c2 \u03c7\u03c1\u03b7\u03bc\u03b1\u03c4\u03bf\u03c3\u03c5\u03bd\u03b1\u03bb\u03bb\u03b1\u03b3\u03ad\u03c2, \u03c4\u03b9\u03c2 \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03bf\u03c0\u03ad\u03c2 \u03c4\u03c9\u03bd \u03bc\u03ad\u03c4\u03c1\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b1\u03b8\u03bc\u03ce\u03bd, \u03c3\u03c4\u03bf\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc \u03c4\u03c9\u03bd \u03b5\u03c0\u03b9\u03c4\u03bf\u03ba\u03af\u03c9\u03bd \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03b5\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2. \u03a4\u03bf \u03b2\u03b9\u03b2\u03bb\u03af\u03bf \u03ad\u03c4\u03c5\u03c7\u03b5 \u03b8\u03b5\u03c1\u03bc\u03ae\u03c2 \u03c5\u03c0\u03bf\u03b4\u03bf\u03c7\u03ae\u03c2 \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03c4\u03bf\u03c5\u03c2 \u03bb\u03bf\u03b3\u03af\u03bf\u03c5\u03c2 \u03c4\u03b7\u03c2 \u0395\u03c5\u03c1\u03ce\u03c0\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b5\u03c0\u03b7\u03c1\u03ad\u03b1\u03c3\u03b5 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03b1\u03bd \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03ad\u03b3\u03b9\u03bd\u03b5 \u03b5\u03c5\u03c1\u03ad\u03c9\u03c2 \u03c7\u03c1\u03b7\u03c3\u03c4\u03cc \u03bc\u03b5\u03c4\u03b1 \u03c4\u03b7\u03bd \u03b5\u03c6\u03b5\u03cd\u03c1\u03b5\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c4\u03c5\u03c0\u03bf\u03b3\u03c1\u03b1\u03c6\u03af\u03b1\u03c2.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/www.mentality10.com\/images\/ARTICLES\/MATRIX\/KOSMOS\/fibonacci-spiral.gif?resize=501%2C312\" alt=\"fibonacci spiral\" width=\"501\" height=\"312\" data-recalc-dims=\"1\" \/><\/p>\n<h3>\u0397 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1<\/h3>\n<p><strong>\u0397 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd \u03c3\u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 \u03bf \u03ba\u03ac\u03b8\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2<\/strong> \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03b4\u03cd\u03bf \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b3\u03bd\u03c9\u03c3\u03c4\u03ae \u03ce\u03c2 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 Fibonacci:<strong> 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181,&#8230;<\/strong> (\u03ba\u03ac\u03b8\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03b4\u03cd\u03bf \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03c9\u03bd).<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/i0.wp.com\/www.mentality10.com\/images\/ARTICLES\/MATRIX\/KOSMOS\/tmonalisa.jpg?w=700\" alt=\"tmonalisa\" data-recalc-dims=\"1\" \/><\/p>\n<h3>\u03a0\u03bf\u03cd \u03c4\u03b7\u03bd \u03c3\u03c5\u03bd\u03b1\u03bd\u03c4\u03bf\u03cd\u03bc\u03b5<\/h3>\n<p><strong>\u039f\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03b4\u03b9\u03b1\u03c0\u03af\u03c3\u03c4\u03c9\u03c3\u03b1\u03bd \u03cc\u03c4\u03b9 \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03c4\u03bf\u03c5 \u03a6\u03b9\u03bc\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9<\/strong> \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03c0\u03b1\u03bd\u03c4\u03bf\u03cd \u03c3\u03c4\u03b7 \u03c6\u03cd\u03c3\u03b7. \u0391\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03b8\u03b5\u03cc\u03c2 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03bb\u03b1\u03c4\u03c1\u03b5\u03cd\u03b5\u03b9 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03ba\u03b1\u03b9 \u03ad\u03c4\u03c3\u03b9 \u03c4\u03b7 \u03b2\u03bb\u03ad\u03c0\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03b7 \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7 \u03c4\u03c9\u03bd \u03c3\u03c0\u03cc\u03c1\u03c9\u03bd \u03c4\u03bf\u03c5 \u03b7\u03bb\u03b9\u03bf\u03c4\u03c1\u03bf\u03c0\u03af\u03bf\u03c5, \u03c3\u03c4\u03b9\u03c2 \u03c3\u03c0\u03b5\u03af\u03c1\u03b5\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf \u03ba\u03ad\u03bb\u03c5\u03c6\u03bf\u03c2 \u03c4\u03c9\u03bd \u03c3\u03b1\u03bb\u03b9\u03b3\u03ba\u03b1\u03c1\u03b9\u03ce\u03bd, \u03c3\u03c4\u03b7 \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7 \u03c4\u03c9\u03bd \u03c6\u03cd\u03bb\u03bb\u03c9\u03bd \u03c4\u03c9\u03bd \u03c6\u03c5\u03c4\u03ce\u03bd \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03b4\u03ad\u03c7\u03bf\u03bd\u03c4\u03b1\u03b9 \u03cc\u03c3\u03bf \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf \u03b7\u03bb\u03b9\u03b1\u03ba\u03cc \u03c6\u03c9\u03c2, \u03c3\u03c4\u03b1 \u03ba\u03cd\u03bc\u03b1\u03c4\u03b1 \u03c4\u03b7\u03c2 \u03b8\u03ac\u03bb\u03b1\u03c3\u03c3\u03b1\u03c2, \u03c3\u03c4\u03bf\u03c5\u03c2 \u03b3\u03b1\u03bb\u03b1\u03be\u03af\u03b5\u03c2.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/i0.wp.com\/www.mentality10.com\/images\/ARTICLES\/MATRIX\/KOSMOS\/fibonacci-whelk.jpg?w=700\" alt=\"fibonacci whelk\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>\u039f\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03bd\u03b1\u03ba\u03ac\u03bb\u03c5\u03c8\u03b1\u03bd \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc 1,618 \u03c3\u03c4\u03b9\u03c2 \u03c0\u03c5\u03c1\u03b1\u03bc\u03af\u03b4\u03b5\u03c2<\/strong>, \u03c3\u03b5 \u03b6\u03c9\u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c0\u03af\u03bd\u03b1\u03ba\u03b5\u03c2, \u03b1\u03ba\u03cc\u03bc\u03b7 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03ae. \u00ab\u039c\u03b5\u03c1\u03b9\u03ba\u03bf\u03af \u03c4\u03bf\u03bd \u03b1\u03bd\u03b1\u03ba\u03ac\u03bb\u03c5\u03c8\u03b1\u03bd \u03c3\u03c4\u03bf\u03bd \u039c\u03cc\u03c4\u03c3\u03b1\u03c1\u03c4 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf\u03bd \u039c\u03c0\u03b5\u03c4\u03cc\u03b2\u03b5\u03bd, \u03b1\u03bd \u03ba\u03b1\u03b9 \u03b4\u03b5\u03bd \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03b1\u03bd \u03b7 \u03cd\u03c0\u03b1\u03c1\u03be\u03ae \u03c4\u03bf\u03c5 \u03c3\u03c4\u03b7 \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5\u03c2 \u03ae\u03c4\u03b1\u03bd \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae \u03ae \u03b7\u03b8\u03b5\u03bb\u03b7\u03bc\u03ad\u03bd\u03b7\u00bb, \u03bb\u03ad\u03b5\u03b9 \u03bf \u03a1\u03bf\u03bd \u039d\u03bf\u03c4, \u03ba\u03b1\u03b8\u03b7\u03b3\u03b7\u03c4\u03ae\u03c2 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c3\u03c4\u03bf \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03bf \u03c4\u03bf\u03c5 \u03a3\u03ac\u03c1\u03b5\u03ca.<\/p>\n<p><strong>\u03a0\u03c1\u03bf\u03c3\u03ad\u03be\u03b1\u03c4\u03b5 \u03c3\u03c4\u03bf \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf \u03c4\u03b7\u03c2 \u03bc\u03b1\u03c1\u03b3\u03b1\u03c1\u03af\u03c4\u03b1\u03c2<\/strong> \u03c4\u03b1 \u03b5\u03bb\u03b9\u03ba\u03bf\u03b5\u03b9\u03b4\u03ae \u03c3\u03c7\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9 \u03c0\u03b7\u03b3\u03b1\u03af\u03bd\u03bf\u03c5\u03bd \u03c0\u03c1\u03bf\u03c2 \u03b4\u03c5\u03bf \u03ba\u03b1\u03c4\u03b5\u03c5\u03b8\u03cd\u03bd\u03c3\u03b5\u03b9\u03c2; E\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b1 \u03c4\u03b9\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03c6\u03bf\u03c1\u03ad\u03c2 \u03bc\u03b5 21 \u03c3\u03c4\u03b7 \u03bc\u03b9\u03b1 \u03ba\u03b1\u03c4\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7 \u03ba\u03b1\u03b9 34 \u03c3\u03c4\u03b7\u03bd \u03ac\u03bb\u03bb\u03b7. \u03a3\u03c4\u03b1 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b1 \u03bb\u03bf\u03c5\u03bb\u03bf\u03cd\u03b4\u03b9\u03b1 \u03bf\u03b9 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03b5\u03af\u03bd\u03b1\u03b9 13 \u03ba\u03b1\u03b9 21. \u039f\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03b1\u03c5\u03c4\u03bf\u03af \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03c5\u03c7\u03b1\u03af\u03bf\u03b9. \u0391\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03cd\u03bd \u03c3\u03b5 \u03b4\u03c5\u03bf \u03c3\u03c5\u03bd\u03b5\u03c7\u03cc\u03bc\u03b5\u03bd\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03c3\u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03a6\u03b9\u03bc\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9.<\/p>\n<p><strong>\u0395\u03c0\u03af\u03c3\u03b7\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03c3\u03c4\u03b7 \u03c3\u03b7\u03bc\u03b5\u03c1\u03b9\u03bd\u03ae \u03b5\u03c0\u03bf\u03c7\u03ae<\/strong>, \u03bd\u03b1 \u03c4\u03b7\u03bd \u03c3\u03c5\u03bd\u03b1\u03bd\u03c4\u03ae\u03c3\u03b5\u03c4\u03b5 \u03c3\u03b5 \u03c4\u03c1\u03b1\u03b3\u03bf\u03cd\u03b4\u03b9\u03b1. \u0388\u03bd\u03b1 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ac \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf &#8220;Laterus&#8221; \u03c4\u03c9\u03bd \u03a4\u039f\u039fL.<\/p>\n<p><iframe loading=\"lazy\" src=\"http:\/\/www.youtube.com\/embed\/wS7CZIJVxFY?rel=0\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/p>\n<p><em><strong>* \u0394\u03b5\u03af\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03af\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03ad\u03ba\u03b1\u03bd\u03b5 \u03bf \u0386\u03c1\u03b8\u03bf\u03c5\u03c1 \u039c\u03c0\u03ad\u03bd\u03c4\u03b6\u03b1\u03bc\u03b9\u03bd \u03bc\u03b5 \u03b8\u03ad\u03bc\u03b1 \u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03a6\u03b9\u03bc\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9. \u039a\u03b1\u03c4\u03b1\u03c0\u03bb\u03b7\u03ba\u03c4\u03b9\u03ba\u03ae!<\/strong><\/em><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/embed-ssl.ted.com\/talks\/lang\/el\/arthur_benjamin_the_magic_of_fibonacci_numbers.html\" width=\"531\" height=\"531\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/p>\n<\/div>\n<\/div>\n<div class=\"itemLinks\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"sp-right\" class=\"col-sm-3 col-md-3\">\n<div class=\"sp-column \">\n<div class=\"sp-module right-article-ad right-article-a1\">\n<div class=\"sp-module-content\">\n<div class=\"customright-article-ad right-article-a1\">\n<div id=\"cdxhd_bpid_103129_2\" class=\"cdxhd_103129 cdxhd_slot\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"sp-module facebook-fun-box\">\n<div class=\"sp-module-content\">\n<div class=\"customfacebook-fun-box\">\n<div id=\"fb-root\" class=\" fb_reset\">\n<div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<p><!--more--><\/p>\n<section id=\"sp-relate-articles-section\">\n<div class=\"container\">\n<div class=\"row\">\n<div id=\"sp-relate-articles\" class=\"col-sm-12 col-md-12\">\n<div class=\"sp-column \">\n<div class=\"sp-module \">\n<div class=\"sp-module-content\">\n<div class=\"raxo-related-k2-items raxo-bricks\">\n<div id=\"raxo-id170\" class=\"raxo-itemsbox gridalicious\">\n<div id=\"item13wUqN\" class=\"raxo-bricks-column\">\n<div class=\"raxo-item raxo-category-id12\">\n<div class=\"raxo-img\"><a 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