{"id":59070,"date":"2025-04-26T08:13:38","date_gmt":"2025-04-26T05:13:38","guid":{"rendered":"https:\/\/omathimatikos.gr\/?p=59070"},"modified":"2025-04-26T08:13:38","modified_gmt":"2025-04-26T05:13:38","slug":"%cf%84%ce%b1-%ce%bc%ce%b1%ce%b8%ce%b7%ce%bc%ce%b1%cf%84%ce%b9%ce%ba%ce%ac-%cf%83%cf%84%ce%b7-%cf%86%cf%8d%cf%83%ce%b7","status":"publish","type":"post","link":"https:\/\/omathimatikos.gr\/?p=59070","title":{"rendered":"\u03a4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c3\u03c4\u03b7 \u03c6\u03cd\u03c3\u03b7"},"content":{"rendered":"<p><!--more--><\/p>\n<header class=\"entry-header\">\n<h1 class=\"entry-title\"><\/h1>\n<div class=\"entry-meta\"><\/div>\n<\/header>\n<p><a class=\"image-link\" href=\"https:\/\/i0.wp.com\/www.ma8imatikos.gr\/wp-content\/uploads\/2025\/02\/combined-2.jpg?ssl=1\"><img decoding=\"async\" loading=\"lazy\" class=\"attachment-hitmag-featured size-hitmag-featured wp-post-image\" src=\"https:\/\/i0.wp.com\/www.ma8imatikos.gr\/wp-content\/uploads\/2025\/02\/combined-2-735x400.jpg?resize=700%2C381&#038;ssl=1\" alt=\"\" width=\"700\" height=\"381\" data-recalc-dims=\"1\" \/><\/a><\/p>\n<div class=\"entry-content\">\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p><em>\u03a4\u03b1 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c3\u03c5\u03bd\u03b1\u03bd\u03c4\u03ce\u03bd\u03c4\u03b1\u03b9 \u03c0\u03b1\u03bd\u03c4\u03bf\u03cd \u03c3\u03c4\u03b7 \u03c6\u03cd\u03c3\u03b7, \u03b1\u03ba\u03cc\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03b5\u03ba\u03b5\u03af \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03c4\u03bf \u03c0\u03b5\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf\u03c5\u03bc\u03b5. \u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b5\u03be\u03b7\u03b3\u03ae\u03c3\u03bf\u03c5\u03bd \u03c4\u03bf\u03bd \u03c4\u03c1\u03cc\u03c0\u03bf \u03bc\u03b5 \u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03bf\u03b9 \u03b3\u03b1\u03bb\u03b1\u03be\u03af\u03b5\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03bf\u03bd\u03c4\u03b1\u03b9, \u03ad\u03bd\u03b1 \u03ba\u03bf\u03c7\u03cd\u03bb\u03b9 \u03ba\u03b1\u03bc\u03c0\u03c5\u03bb\u03ce\u03bd\u03b5\u03b9, \u03c4\u03b1 \u03bc\u03bf\u03c4\u03af\u03b2\u03b1 \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03c0\u03bf\u03c4\u03ac\u03bc\u03b9\u03b1 \u03c1\u03ad\u03bf\u03c5\u03bd.<\/em><\/p><\/blockquote>\n<p><em><strong>1.\u00a0 \u0397 \u03a3\u03a5\u039c\u039c\u0395\u03a4\u03a1\u0399\u0391 \u03a3\u03a4\u039f\u039d \u03a6\u03a5\u03a3\u0399\u039a\u039f \u039a\u039f\u03a3\u039c\u039f<\/strong><\/em><\/p>\n<p>\u0397 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 \u03c0\u03bf\u03c5 \u03ba\u03b1\u03c4\u03b5\u03be\u03bf\u03c7\u03ae\u03bd \u03b5\u03ba\u03c1\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03ba\u03b1\u03bb\u03b1\u03b9\u03c3\u03b8\u03b7\u03c3\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03bf\u03bc\u03bf\u03c1\u03c6\u03b9\u03ac \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03ac\u03c3\u03c0\u03b1\u03c1\u03c4\u03b7 \u03c3\u03c4\u03bf\u03bd \u03c6\u03c5\u03c3\u03b9\u03ba\u03cc \u03ba\u03cc\u03c3\u03bc\u03bf. \u039c\u03b5\u03c1\u03b9\u03ba\u03ad\u03c2 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b5\u03c2 \u03bc\u03b1\u03c2 \u03c0\u03b5\u03af\u03b8\u03bf\u03c5\u03bd \u0397 \u03c6\u03cd\u03c3\u03b7 \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b5\u03af, \u03cc\u03c0\u03c9\u03c2 \u03b8\u03b1 \u03b4\u03b9\u03b1\u03c0\u03b9\u03c3\u03c4\u03ce\u03c3\u03b5\u03c4\u03b5 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b2\u03af\u03bd\u03c4\u03b5\u03bf!<\/p>\n<p>\u2014<\/p>\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/i0.wp.com\/i.ytimg.com\/vi\/eJy-p11mk-4\/hqdefault.jpg?w=700&#038;ssl=1\" alt=\"\" data-recalc-dims=\"1\" \/><\/figure>\n<p>\u2014<strong>\u00a0<\/strong><\/p>\n<p><em><strong>\u0397 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 \u03c3\u03c4\u03b7 \u03c6\u03cd\u03c3\u03b7\u00a0<\/strong><\/em><\/p>\n<p><strong>\u0397 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 \u03c3\u03c4\u03b7 \u03b2\u03b9\u03bf\u03bb\u03bf\u03b3\u03af\u03b1<\/strong>\u00a0\u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b9\u03c3\u03cc\u03c1\u03c1\u03bf\u03c0\u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03c9\u03bd \u03b4\u03b9\u03c0\u03bb\u03ce\u03bd \u03bc\u03b5\u03c1\u03ce\u03bd \u03c4\u03bf\u03c5 \u03c3\u03ce\u03bc\u03b1\u03c4\u03bf\u03c2 \u03ae\u00a0 \u03c4\u03bf\u03c5 \u03c3\u03c7\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03b6\u03c9\u03bd\u03c4\u03b1\u03bd\u03bf\u03cd \u03bf\u03c1\u03b3\u03b1\u03bd\u03b9\u03c3\u03bc\u03bf\u03cd.\u00a0 \u03a4\u03bf \u03c3\u03ce\u03bc\u03b1 \u03ae \u03c4\u03bf \u00a0\u03c3\u03c7\u03ad\u03b4\u03b9\u03bf \u03c4\u03c9\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03c9\u03bd\u00a0\u03c0\u03bf\u03bb\u03c5\u03ba\u03cd\u03c4\u03c4\u03b1\u03c1\u03c9\u03bd \u03bf\u03c1\u03b3\u03b1\u03bd\u03b9\u03c3\u03bc\u03ce\u03bd \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bd \u03ba\u03ac\u03c0\u03bf\u03b9\u03b1 \u03bc\u03bf\u03c1\u03c6\u03ae \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1\u03c2 , \u03b5\u03af\u03c4\u03b5\u00a0<strong>\u03b1\u03ba\u03c4\u03b9\u03bd\u03b9\u03ba\u03ae \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1<\/strong>\u00a0\u03ae\u00a0<strong>\u03b4\u03b9\u03bc\u03b5\u03c1\u03ae\u03c2 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1\u03c2<\/strong>\u00a0\u03ae \u00ab\u03c3\u03c6\u03b1\u03b9\u03c1\u03b9\u03ba\u03ae \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1\u00bb.\u00a0 \u039c\u03b9\u03b1 \u03bc\u03b9\u03ba\u03c1\u03ae \u03bc\u03b5\u03b9\u03bf\u03c8\u03b7\u03c6\u03af\u03b1 \u03b4\u03b5\u03bd \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bd \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 (\u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c3\u03cd\u03bc\u03bc\u03b5\u03c4\u03c1\u03b7).<\/p>\n<p>\u03a3\u03c4\u03b7 \u03c6\u03cd\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b2\u03b9\u03bf\u03bb\u03bf\u03b3\u03af\u03b1 , \u03b7 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03b1\u03c4\u03ac \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03c4\u03b1 \u03c6\u03cd\u03bb\u03bb\u03b1 \u03c4\u03c9\u03bd \u03c6\u03c5\u03c4\u03ce\u03bd, \u03b5\u03bd\u03ce \u03b8\u03b5\u03c9\u03c1\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ac, \u03c3\u03c0\u03ac\u03bd\u03b9\u03b1 \u03b8\u03b1 \u03c4\u03b1\u03b9\u03c1\u03b9\u03ac\u03b6\u03bf\u03c5\u03bd \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 \u03cc\u03c4\u03b1\u03bd \u03b4\u03b9\u03c0\u03bb\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03bc\u03ad\u03c3\u03b7.<strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/strong><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-5185\" src=\"https:\/\/i0.wp.com\/www.ma8imatikos.gr\/wp-content\/uploads\/2025\/02\/image-1.png?resize=200%2C183&#038;ssl=1\" alt=\"\" width=\"200\" height=\"183\" data-recalc-dims=\"1\" \/><figcaption class=\"wp-element-caption\">\u0397 \u03b1\u03bc\u03c6\u03af\u03c0\u03bb\u03b5\u03c5\u03c1\u03b7 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 \u03c4\u03b7\u03c2 \u03c0\u03b5\u03c4\u03b1\u03bb\u03bf\u03cd\u03b4\u03b1\u03c2.<\/figcaption><\/figure>\n<\/div>\n<p>&nbsp;<\/p>\n<p id=\"caption-attachment-85246\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-5186\" src=\"https:\/\/i0.wp.com\/www.ma8imatikos.gr\/wp-content\/uploads\/2025\/02\/image-2.png?resize=250%2C182&#038;ssl=1\" alt=\"\" width=\"250\" height=\"182\" data-recalc-dims=\"1\" \/><figcaption class=\"wp-element-caption\">\u039f\u03b9 \u03b8\u03b1\u03bb\u03ac\u03c3\u03c3\u03b9\u03b5\u03c2 \u03b1\u03bd\u03b5\u03bc\u03ce\u03bd\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03bc\u03ad\u03b4\u03bf\u03c5\u03c3\u03b5\u03c2 : \u03b1\u03c0\u03b5\u03b9\u03ba\u03cc\u03bd\u03b9\u03c3\u03b7 \u03bc\u03b5 \u03b1\u03ba\u03c4\u03b9\u03bd\u03c9\u03c4\u03ae \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1.<\/figcaption><\/figure>\n<\/div>\n<p id=\"caption-attachment-85246\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-5187\" src=\"https:\/\/i0.wp.com\/www.ma8imatikos.gr\/wp-content\/uploads\/2025\/02\/image-3.png?resize=220%2C165&#038;ssl=1\" alt=\"\" width=\"220\" height=\"165\" data-recalc-dims=\"1\" \/><figcaption class=\"wp-element-caption\">\u0394\u03b9\u03bc\u03b5\u03c1\u03ae \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1<\/figcaption><\/figure>\n<\/div>\n<p id=\"caption-attachment-85246\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-5188\" src=\"https:\/\/i0.wp.com\/www.ma8imatikos.gr\/wp-content\/uploads\/2025\/02\/image-4.png?resize=220%2C218&#038;ssl=1\" sizes=\"auto, (max-width: 220px) 100vw, 220px\" srcset=\"https:\/\/i0.wp.com\/www.ma8imatikos.gr\/wp-content\/uploads\/2025\/02\/image-4.png?resize=220%2C218&#038;ssl=1 220w, https:\/\/www.ma8imatikos.gr\/wp-content\/uploads\/2025\/02\/image-4-150x150.png 150w\" alt=\"\" width=\"220\" height=\"218\" data-recalc-dims=\"1\" \/><figcaption class=\"wp-element-caption\">\u0388\u03bd\u03b1 \u03bc\u03ae\u03bb\u03bf \u03ba\u03bf\u03bc\u03bc\u03ad\u03bd\u03bf \u03bc\u03b5 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1.<\/figcaption><\/figure>\n<\/div>\n<p id=\"caption-attachment-85246\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/petalouda3symmetry3.jpg?ssl=1\"><img decoding=\"async\" class=\"wp-image-85250\" src=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/petalouda3symmetry3.jpg?w=700&#038;ssl=1\" alt=\"petalouda3symmetry3\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<p><strong>2.\u00a0 \u0397 \u039c\u0395\u039b\u039b\u0399\u03a3\u03a3\u0391 \u0393\u039d\u03a9\u03a1\u0399\u0396\u0395\u0399 \u0391\u039d\u03a9\u03a4\u0395\u03a1\u0391 \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u0391!<\/strong><\/p>\n<p><strong><em>\u0393\u03b9\u03b1\u03c4\u03af \u03cc\u03bc\u03c9\u03c2 \u03b7<a href=\"https:\/\/www.ma8imatikos.gr\/%ce%b3%ce%bd%cf%89%cf%81%ce%af%ce%b6%ce%bf%cf%85%ce%bd-%ce%bf%ce%b9-%ce%bc%ce%ad%ce%bb%ce%b9%cf%83%cf%83%ce%b5%cf%82-%ce%bc%ce%b1%ce%b8%ce%b7%ce%bc%ce%b1%cf%84%ce%b9%ce%ba%ce%ac\/\" data-type=\"link\" data-id=\"https:\/\/www.ma8imatikos.gr\/%ce%b3%ce%bd%cf%89%cf%81%ce%af%ce%b6%ce%bf%cf%85%ce%bd-%ce%bf%ce%b9-%ce%bc%ce%ad%ce%bb%ce%b9%cf%83%cf%83%ce%b5%cf%82-%ce%bc%ce%b1%ce%b8%ce%b7%ce%bc%ce%b1%cf%84%ce%b9%ce%ba%ce%ac\/\">\u00a0\u03bc\u03ad\u03bb\u03b9\u03c3\u03c3\u03b1<\/a>\u00a0\u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03b5\u03b9 \u03c4\u03bf \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03cc \u03b5\u03be\u03ac\u03b3\u03c9\u03bd\u03bf \u03ba\u03b1\u03b9 \u03cc\u03c7\u03b9 \u03c4\u03bf \u03b9\u03c3\u03cc\u03c0\u03bb\u03b5\u03c5\u03c1\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf \u03ae \u03c4\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae 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\u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1. \u0391\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03cd\u03b1\u03b6\u03b5 \u03c0.\u03c7. \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ad\u03c2 \u03ba\u03c5\u03c8\u03b5\u03bb\u03af\u03b4\u03b5\u03c2 \u03c4\u03cc\u03c4\u03b5 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03b8\u03b1 \u03b5\u03af\u03c7\u03b1\u03bd \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac 1 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1 \u03bc\u03ae\u03ba\u03bf\u03c5\u03c2, \u03bf\u03c0\u03cc\u03c4\u03b5 1 \u03a7 1=1 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1. \u0391\u03bd \u03b8\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03cd\u03b1\u03b6\u03b5 \u03b9\u03c3\u03cc\u03c0\u03bb\u03b5\u03c5\u03c1\u03b5\u03c2 \u03c4\u03c1\u03b9\u03b3\u03c9\u03bd\u03b9\u03ba\u03ad\u03c2 \u03ba\u03c5\u03c8\u03b5\u03bb\u03af\u03b4\u03b5\u03c2, \u03c4\u03b9 \u03bc\u03ae\u03ba\u03bf\u03c2 \u03b8\u03b1 \u03ad\u03c0\u03c1\u03b5\u03c0\u03b5 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03b7 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac \u03c4\u03bf\u03c5 \u03b9\u03c3\u03bf\u03c0\u03bb\u03b5\u03cd\u03c1\u03bf\u03c5 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03bf\u03c5 \u03ce\u03c3\u03c4\u03b5 \u03c4\u03bf \u03b5\u03bc\u03b2\u03b1\u03b4\u03cc\u03bd \u03c4\u03bf\u03c5 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b9\u03c3\u03bf\u03b4\u03cd\u03bd\u03b1\u03bc\u03bf \u03bc\u03b5 1 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1;<\/p>\n<p>\u0391\u03c0\u03cc \u03c4\u03bf\u03bd \u03c4\u03cd\u03c0\u03bf \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd \u03c4\u03bf\u03c5 \u03b5\u03bc\u03b2\u03b1\u03b4\u03bf\u03cd (*) \u03bf\u03c0\u03bf\u03b9\u03bf\u03c5\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03bf\u03cd \u03c0\u03bf\u03bb\u03c5\u03b3\u03ce\u03bd\u03bf\u03c5 \u03b5\u03c0\u03b9\u03bb\u03cd\u03bf\u03c5\u03bc\u03b5 \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 a \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03b5\u03bc\u03b2\u03b1\u03b4\u03cc\u03bd = 1 \u03c4\u03b5\u03c4\u03c1. \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1, \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf \u03b8\u03b1 \u03ad\u03c0\u03c1\u03b5\u03c0\u03b5 \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 \u03af\u03c3\u03bf \u03bc\u03b5 = 1,52 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2 \u03bc\u03ae\u03ba\u03bf\u03c5\u03c2.<\/p>\n<p>\u0391\u03bd \u03ba\u03b1\u03c4\u03ac \u03c4\u03bf\u03bd \u03af\u03b4\u03b9\u03bf \u03c4\u03c1\u03cc\u03c0\u03bf \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 \u03c4\u03bf\u03c5 \u03b9\u03c3\u03bf\u03b4\u03cd\u03bd\u03b1\u03bc\u03bf\u03c5 \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03bf\u03cd \u03b5\u03be\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5, \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac \u03c4\u03bf\u03c5 \u03b9\u03c3\u03bf\u03cd\u03c4\u03b1\u03b9 \u03bc\u03b5 0,62 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2 \u03bc\u03ae\u03ba\u03bf\u03c5\u03c2.<\/p>\n<p>\u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 :<br \/>\n\u2013 \u03c3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c4\u03c1\u03b9\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae\u03c2 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae\u03c2 \u03b7 \u03c0\u03b5\u03c1\u03af\u03bc\u03b5\u03c4\u03c1\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03bf\u03c5 \u03b9\u03c3\u03bf\u03cd\u03c4\u03b1\u03b9 \u03bc\u03b5 3 \u03a7 1,52 = 4,56 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2 \u03bc\u03ae\u03ba\u03bf\u03c5\u03c2.<\/p>\n<p>\u2013 \u03c3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03ba\u03b1\u03c4\u03ac \u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 \u03b7 \u03bc\u03ad\u03bb\u03b9\u03c3\u03c3\u03b1 \u03b8\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03cd\u03b1\u03b6\u03b5 \u03bf\u03c1\u03b8\u03bf\u03b3\u03c9\u03bd\u03b9\u03ba\u03ac \u03ba\u03b5\u03bb\u03b9\u03ac \u03c4\u03bf \u03ba\u03b1\u03b8\u03ad\u03bd\u03b1 \u03b8\u03b1 \u03b5\u03af\u03c7\u03b5 \u03c0\u03b5\u03c1\u03af\u03bc\u03b5\u03c4\u03c1\u03bf 4 \u03a7 1 = 4 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2 \u03bc\u03ae\u03ba\u03bf\u03c5\u03c2.<\/p>\n<p>\u2013 \u03c3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03be\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae\u03c2 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae\u03c2 \u03b7 \u03c0\u03b5\u03c1\u03af\u03bc\u03b5\u03c4\u03c1\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03ba\u03ac\u03b8\u03b5 \u03ba\u03b5\u03bb\u03b9\u03bf\u03cd \u03b9\u03c3\u03bf\u03cd\u03c4\u03b1\u03b9 \u03bc\u03b5 0,62 \u03a7 6 = 3,72 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2 \u03bc\u03ae\u03ba\u03bf\u03c5\u03c2.<\/p>\n<p>\u03a3\u03c5\u03bc\u03c0\u03ad\u03c1\u03b1\u03c3\u03bc\u03b1:<\/p>\n<p>\u03a0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b7 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae \u03c4\u03bf\u03c5 \u03b5\u03be\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03bf\u03cd \u03c3\u03c7\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03c5\u03c7\u03b1\u03af\u03b1. \u0391\u03c6\u03b5\u03bd\u03cc\u03c2 \u03bc\u03b5\u03bd \u00ab\u03ba\u03bb\u03b5\u03af\u03bd\u03b5\u03b9\u00bb \u03b5\u03c0\u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 \u03c4\u03bf \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf \u03c7\u03c9\u03c1\u03af\u03c2 \u03ba\u03b5\u03bd\u03ac, \u03b1\u03bb\u03bb\u03ac \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03c4\u03bf \u03bc\u03bf\u03bd\u03b1\u03b4\u03b9\u03ba\u03cc \u03c3\u03c7\u03ae\u03bc\u03b1 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b7 \u03c0\u03b5\u03c1\u03af\u03bc\u03b5\u03c4\u03c1\u03bf. \u0394\u03b7\u03bb\u03b1\u03b4\u03ae \u03b7 \u03bc\u03ad\u03bb\u03b9\u03c3\u03c3\u03b1 \u03b4\u03b1\u03c0\u03b1\u03bd\u03ac \u03bb\u03b9\u03b3\u03cc\u03c4\u03b5\u03c1\u03bf \u03ba\u03b5\u03c1\u03af \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae \u03c4\u03c9\u03bd \u03ba\u03b5\u03bb\u03b9\u03ce\u03bd \u03c4\u03b7\u03c2.<\/p>\n<p>\u039a\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b5\u03c7\u03af\u03b6\u03c9 \u03bc\u03b5 \u03ba\u03ac\u03c4\u03b9 \u03c0\u03b9\u03bf \u03b5\u03bd\u03c4\u03c5\u03c0\u03c9\u03c3\u03b9\u03b1\u03ba\u03cc. \u0397 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac \u03c4\u03bf\u03c5 \u03b5\u03be\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5 (=0,62) \u03c3\u03b5 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac \u03c4\u03bf\u03c5 \u03b9\u03c3\u03bf\u03b4\u03c5\u03bd\u03ac\u03bc\u03bf\u03c5 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5 (=1) \u03ad\u03c7\u03bf\u03c5\u03bd \u03c3\u03c7\u03ad\u03c3\u03b7 \u03c7\u03c1\u03c5\u03c3\u03ae\u03c2 \u03c4\u03bf\u03bc\u03ae\u03c2. \u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9 \u03bf \u03bb\u03cc\u03b3\u03bf\u03c2 1 \/ 0,62 = 1,62 \u03cc\u03c0\u03bf\u03c5 1,62 = \u03c6. \u039f \u03bd\u03cc\u03bc\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03c4\u03ad\u03bb\u03b5\u03b9\u03b1\u03c2 \u03b1\u03c1\u03bc\u03bf\u03bd\u03af\u03b1\u03c2 \u03c3\u03b5 \u03cc\u03bb\u03bf \u03c4\u03bf\u03c5 \u03c4\u03bf \u03bc\u03b5\u03b3\u03b1\u03bb\u03b5\u03af\u03bf. \u0397 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ad\u03c2 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c4\u03bf\u03c5 \u03c4\u03c9\u03bd \u03b9\u03c3\u03bf\u03b4\u03c5\u03bd\u03ac\u03bc\u03c9\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03b5\u03be\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5 \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03bf\u03c5\u03bd \u03c4\u03bf \u03c7\u03c1\u03c5\u03c3\u03cc \u03bf\u03c1\u03b8\u03bf\u03b3\u03ce\u03bd\u03b9\u03bf \u03c3\u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03bf \u03bb\u03cc\u03b3\u03bf\u03c2 \u03c4\u03c9\u03bd \u03c0\u03bb\u03b5\u03c5\u03c1\u03ce\u03bd \u03b9\u03c3\u03bf\u03cd\u03c4\u03b1\u03b9 \u03bc\u03b5 1,62 \u03ae\u03c4\u03bf\u03b9 =\u03c6. \u0393\u03b9\u03b1 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03c6 \u03b2\u03b5\u03b2\u03b1\u03af\u03c9\u03c2 \u03b8\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03c3\u03b1\u03bc\u03b5 \u03bd\u03b1 \u03b1\u03bd\u03b1\u03c0\u03c4\u03cd\u03be\u03bf\u03c5\u03bc\u03b5 \u03bf\u03bb\u03cc\u03ba\u03bb\u03b7\u03c1\u03b7 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b5\u03af\u03b1 \u03b1\u03bb\u03bb\u03ac \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b5\u03c0\u03af \u03c4\u03bf\u03c5 \u03c0\u03b1\u03c1\u03cc\u03bd\u03c4\u03bf\u03c2. \u0391\u03c1\u03ba\u03b5\u03af \u03bd\u03b1 \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03cc\u03bb\u03b5\u03c2 \u03bf\u03b9 \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c3\u03c4\u03b7\u03bd \u03c6\u03cd\u03c3\u03b7 \u03ba\u03b1\u03b8\u03bf\u03c1\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03cc\u03bd \u03c4\u03bf \u03b9\u03b5\u03c1\u03bf\u03ba\u03c1\u03cd\u03c6\u03b9\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc. \u039f\u03b9 \u03b1\u03c1\u03c7\u03b1\u03af\u03bf\u03b9 \u0388\u03bb\u03bb\u03b7\u03bd\u03b5\u03c2 \u03ae\u03c4\u03b1\u03bd \u03bf\u03b9 \u03c0\u03c1\u03ce\u03c4\u03bf\u03b9 \u03c0\u03bf\u03c5 \u03c4\u03bf\u03bd \u03b5\u03af\u03c7\u03b1\u03bd \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03af\u03c3\u03b5\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03bd \u03b5\u03c6\u03ac\u03c1\u03bc\u03bf\u03b6\u03b1\u03bd \u03c3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03ba\u03b1\u03bb\u03bb\u03b9\u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5\u03c2 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03af\u03b1, \u03b3\u03bb\u03c5\u03c0\u03c4\u03b9\u03ba\u03ae \u03b1\u03c1\u03c7\u03b9\u03c4\u03b5\u03ba\u03c4\u03bf\u03bd\u03b9\u03ba\u03ae, \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03ae. 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\u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c4\u03bf\u03c5\u03c2 \u03b1\u03bd\u03ac\u03bb\u03bf\u03b3\u03b1, \u03bf \u039a\u03ad\u03c0\u03bb\u03b5\u03c1 \u03ad\u03b4\u03c9\u03c3\u03b5 \u03bc\u03b9\u03b1 \u03ba\u03b1\u03bb\u03ae \u03b5\u03be\u03ae\u03b3\u03b7\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03c0\u03bb\u03ae \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 \u03c4\u03b7\u03c2 \u03c7\u03b9\u03bf\u03bd\u03bf\u03bd\u03b9\u03c6\u03ac\u03b4\u03b1\u03c2. \u0393\u03bd\u03c9\u03c1\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c7\u03b9\u03cc\u03bd\u03b9 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c3\u03c5\u03bc\u03c0\u03c5\u03ba\u03bd\u03c9\u03bc\u03ad\u03bd\u03bf \u03b1\u03c4\u03bc\u03cc, \u03b8\u03b5\u03ce\u03c1\u03b7\u03c3\u03b5 \u03cc\u03c4\u03b9 \u03c0\u03ae\u03b6\u03b5\u03b9 \u03c3\u03b5 \u03c3\u03c4\u03b1\u03b3\u03bf\u03bd\u03af\u03b4\u03b9\u03b1 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf\u03c5 \u03c3\u03c7\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03ad\u03c7\u03bf\u03c5\u03bd \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03ad\u03bd\u03b1\u03bd \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf \u03c4\u03c1\u03cc\u03c0\u03bf \u03b5\u03c0\u03b1\u03c6\u03ae\u03c2, \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b1\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03cc\u03c4\u03b9 :\u00a0<strong>\u201d \u03a4\u03bf \u03b5\u03be\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03cc \u03c3\u03c7\u03ae\u03bc\u03b1 \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c0\u03c1\u03bf\u03c3\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03ba\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03bd\u03b1\u03b3\u03ba\u03b1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03b7\u03c2 \u03cd\u03bb\u03b7\u03c2, \u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03bc\u03b7\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03ba\u03b5\u03bd\u03ac \u03ba\u03b1\u03b9 \u03b7 \u03c3\u03c5\u03b3\u03ba\u03ad\u03bd\u03c4\u03c1\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b1\u03c4\u03bc\u03bf\u03cd \u03c3\u03b5 \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2 \u03c7\u03b9\u03bf\u03bd\u03b9\u03bf\u03cd \u03bd\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03c0\u03b9\u03bf \u03bf\u03bc\u03b1\u03bb\u03ac. \u201c<\/strong><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/220px-SnowflakesWilsonBentley.jpg?ssl=1\"><img decoding=\"async\" class=\"wp-image-85254\" src=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/220px-SnowflakesWilsonBentley.jpg?w=700&#038;ssl=1\" alt=\"220px-SnowflakesWilsonBentley\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<p><strong>\u0391\u03ba\u03cc\u03bc\u03b7, \u03c3\u03c5\u03bd\u03b4\u03ad\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03c0\u03bb\u03ae \u03bc\u03bf\u03c1\u03c6\u03ae \u03c4\u03b7\u03c2 \u03c7\u03b9\u03bf\u03bd\u03bf\u03bd\u03b9\u03c6\u03ac\u03b4\u03b1\u03c2<\/strong>\u00a0\u03bc\u03b5 \u03c4\u03b7\u03bd \u03ba\u03c1\u03c5\u03c3\u03c4\u03b1\u03bb\u03bb\u03b9\u03ba\u03ae \u03c6\u03cd\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c0\u03ac\u03b3\u03bf\u03c5, \u03b3\u03c1\u03ae\u03b3\u03bf\u03c1\u03b1 \u03ba\u03b1\u03c4\u03b5\u03c5\u03b8\u03cd\u03bd\u03b8\u03b7\u03ba\u03b5 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b7\u03bd \u03b9\u03b4\u03ad\u03b1 \u03cc\u03c4\u03b9 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03c0\u03b1\u03bd\u03bf\u03bc\u03bf\u03b9\u03cc\u03c4\u03c5\u03c0\u03c9\u03bd \u03bc\u03b9\u03ba\u03c1\u03bf\u03c3\u03ba\u03bf\u03c0\u03b9\u03ba\u03ce\u03bd \u03bc\u03bf\u03bd\u03ac\u03b4\u03c9\u03bd \u03c3\u03c5\u03bd\u03c4\u03b1\u03b9\u03c1\u03b9\u03b1\u03c3\u03bc\u03ad\u03bd\u03c9\u03bd \u03c3\u03b5 \u03c3\u03c7\u03ae\u03bc\u03b1\u03c4\u03b1 \u03bc\u03b5 \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1.<\/p>\n<p>\u038c\u03c4\u03b1\u03bd \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf\u03c2 \u03b4\u03b5\u03b9 \u03c3\u03c4\u03bf \u03bc\u03b9\u03ba\u03c1\u03bf\u03c3\u03ba\u03cc\u03c0\u03b9\u03bf \u03bc\u03b9\u03b1 \u03bd\u03b9\u03c6\u03ac\u03b4\u03b1 \u03c4\u03bf\u03c5 \u03c7\u03b9\u03bf\u03bd\u03b9\u03bf\u03cd \u03b8\u03b1 \u03b8\u03b1\u03c5\u03bc\u03ac\u03c3\u03b5\u03b9 \u03c4\u03bf \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03cc \u03c3\u03c7\u03ae\u03bc\u03b1 \u03c4\u03b7\u03c2. \u03a0\u03c1\u03cc\u03ba\u03b5\u03b9\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03ad\u03bd\u03b1 \u03bc\u03b9\u03ba\u03c1\u03bf\u03c3\u03ba\u03bf\u03c0\u03b9\u03ba\u03cc \u03b5\u03be\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03cc \u03ba\u03c1\u03cd\u03c3\u03c4\u03b1\u03bb\u03bb\u03bf, \u03c0\u03bf\u03c5 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03ad\u03be\u03b9 \u03c3\u03c7\u03b5\u03b4\u03cc\u03bd \u03cc\u03bc\u03bf\u03b9\u03b1 \u03c0\u03ad\u03c4\u03b1\u03bb\u03b1. \u0388\u03c4\u03c3\u03b9 \u03b1\u03bd \u03c4\u03bf\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03ad\u03c8\u03bf\u03c5\u03bc\u03b5 \u03ba\u03b1\u03c4\u03ac 60 \u03ae \u03ba\u03b1\u03c4\u03ac 120 \u03bc\u03bf\u03af\u03c1\u03b5\u03c2 \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf \u03c4\u03bf\u03c5 \u03b8\u03b1 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 \u03cc\u03bc\u03bf\u03b9\u03bf\u03c2. O \u03ba\u03c1\u03cd\u03c3\u03c4\u03b1\u03bb\u03bb\u03bf\u03c2 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03bd\u03b5\u03b9 \u03b1\u03bd\u03b1\u03bb\u03bb\u03bf\u03af\u03c9\u03c4\u03bf\u03c2 \u03ba\u03ac\u03c4\u03c9 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1\u03bd \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf \u03bc\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae\u03c2, \u03b3\u03b5\u03b3\u03bf\u03bd\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03b7 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 \u03c4\u03bf\u03c5.<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/sn15_small.jpg?ssl=1\"><img decoding=\"async\" class=\"wp-image-85252\" src=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/sn15_small.jpg?w=700&#038;ssl=1\" alt=\"sn15_small\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/sn9_small.jpg?ssl=1\"><img decoding=\"async\" class=\"wp-image-85253\" src=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/sn9_small.jpg?w=700&#038;ssl=1\" alt=\"sn9_small\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<p><strong>4. \u03a4\u03b1 \u03b6\u03ce\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b1\u2026 \u03b1\u03bd\u03ce\u03c4\u03b5\u03c1\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac<\/strong><\/p>\n<p>\u0391\u03bd \u03c4\u03b1 \u03c0\u03bf\u03c4\u03ac\u03bc\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03b1\u03c1\u03ac\u03c7\u03bd\u03b5\u03c2 \u03b5\u03bd\u03c4\u03c5\u03c0\u03c9\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bd \u03cc\u03c3\u03bf\u03c5\u03c2 \u03b1\u03c3\u03c7\u03bf\u03bb\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b7 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03ac\u03bb\u03bb\u03b1 \u03b6\u03ce\u03b1, \u03cc\u03c0\u03c9\u03c2 \u03bf\u03b9 \u03c0\u03c5\u03b3\u03bf\u03bb\u03b1\u03bc\u03c0\u03af\u03b4\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03c4\u03b6\u03b9\u03c4\u03b6\u03af\u03ba\u03b9\u03b1 \u03c0\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03b5\u03b9\u03c3\u03ac\u03b3\u03bf\u03c5\u03bd \u03c3\u03b5? \u03b1\u03bd\u03ce\u03c4\u03b5\u03c1\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac.<\/p>\n<p>\u0395\u03b4\u03ce \u03ba\u03b1\u03b9 \u03b4\u03b5\u03ba\u03ac\u03b4\u03b5\u03c2 \u03c7\u03c1\u03cc\u03bd\u03b9\u03b1 \u03b2\u03b9\u03bf\u03bb\u03cc\u03b3\u03bf\u03b9 \u03b5\u03af\u03c7\u03b1\u03bd \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03bf\u03b9 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\u03b6\u03b5\u03c5\u03b3\u03b1\u03c1\u03ce\u03bd\u03bf\u03c5\u03bd, \u03b3\u03b5\u03bd\u03bf\u03cd\u03bd \u03c4\u03b1 \u03b1\u03c5\u03b3\u03ac \u03c4\u03bf\u03c5\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03b5\u03b8\u03b1\u03af\u03bd\u03bf\u03c5\u03bd.<\/p>\n<p>\u03a4\u03bf \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c4\u03b7\u03c2 \u03b6\u03c9\u03ae\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03bd\u03bf\u03c5\u03bd \u03c9\u03c2 \u03bd\u03cd\u03bc\u03c6\u03b5\u03c2 \u03ba\u03ac\u03c4\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03ad\u03b4\u03b1\u03c6\u03bf\u03c2. \u03a3\u03b7\u03bc\u03b1\u03c3\u03af\u03b1 \u03b5\u03b4\u03ce \u03ad\u03c7\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03bf \u03ba\u03cd\u03ba\u03bb\u03bf\u03c2 \u03b5\u03bc\u03c6\u03ac\u03bd\u03b9\u03c3\u03ae\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03ac\u03bd\u03c4\u03bf\u03c4\u03b5 \u03c0\u03c1\u03ce\u03c4\u03bf\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03b4\u03b9\u03b1\u03b9\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03bc\u03cc\u03bd\u03bf \u03bc\u03b5 \u03c4\u03bf\u03bd \u03b5\u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1.<\/p>\n<p>\u03a4\u03bf \u03b3\u03b5\u03b3\u03bf\u03bd\u03cc\u03c2 \u03b1\u03c5\u03c4\u03cc \u03bf\u03b4\u03ae\u03b3\u03b7\u03c3\u03b5 \u03b1\u03c1\u03ba\u03b5\u03c4\u03bf\u03cd\u03c2 \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03bf\u03bd\u03b5\u03c2 \u03c3\u03c4\u03bf\u03c3\u03c5\u03bc\u03c0\u03ad\u03c1\u03b1\u03c3\u03bc\u03b1 \u03cc\u03c4\u03b9 \u03b7 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03b1\u03c5\u03c4\u03ae \u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b1 \u03c4\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c4\u03b1\u03c4\u03b5\u03cd\u03b5\u03b9 \u03b1\u03c0\u03cc \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf \u03c6\u03c5\u03c3\u03b9\u03ba\u03cc \u03ba\u03af\u03bd\u03b4\u03c5\u03bd\u03bf \u03bc\u03b5 \u03c0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03b1 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03ae\u03c2 \u03b5\u03bc\u03c6\u03ac\u03bd\u03b9\u03c3\u03b7\u03c2. \u0395\u03bd\u03b1 \u03c3\u03b5\u03bd\u03ac\u03c1\u03b9\u03bf \u03c0\u03c1\u03bf\u03ad\u03b2\u03bb\u03b5\u03c0\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c4\u03b6\u03b9\u03c4\u03b6\u03af\u03ba\u03b9 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03c0\u03bf\u03c6\u03cd\u03b3\u03b5\u03b9 \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf \u03c0\u03b1\u03c1\u03ac\u03c3\u03b9\u03c4\u03bf \u03bc\u03b5 \u03c0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03bf \u03ba\u03cd\u03ba\u03bb\u03bf \u03b6\u03c9\u03ae\u03c2. \u0391\u03bd, \u03bb\u03cc\u03b3\u03bf\u03c5 \u03c7\u03ac\u03c1\u03b7, \u03c4\u03bf \u03c0\u03b1\u03c1\u03ac\u03c3\u03b9\u03c4\u03bf \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ba\u03ac\u03b8\u03b5 4 \u03c7\u03c1\u03cc\u03bd\u03b9\u03b1, \u03c4\u03bf \u03c4\u03b6\u03b9\u03c4\u03b6\u03af\u03ba\u03b9 \u00ab\u03b1\u03c0\u03bf\u03c6\u03b5\u03cd\u03b3\u03b5\u03b9\u00bb \u03ad\u03bd\u03b1\u03bd \u03ba\u03cd\u03ba\u03bb\u03bf \u03c0\u03bf\u03c5 \u03b4\u03b9\u03b1\u03b9\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03bf 4, \u03b1\u03bd \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ba\u03ac\u03b8\u03b5 5 \u03b1\u03c0\u03bf\u03c6\u03b5\u03cd\u03b3\u03b5\u03b9 \u03ad\u03bd\u03b1\u03bd \u03ba\u03cd\u03ba\u03bb\u03bf \u03c0\u03bf\u03c5 \u03b4\u03b9\u03b1\u03b9\u03c1\u03b5\u03af\u03c4\u03b5 \u03bc\u03b5 \u03c4\u03bf 5 \u03ba.\u03bf.\u03ba.<\/p>\n<p><strong>6. \u0397 \u03a7\u03a1\u03a5\u03a3\u0397 \u0391\u039d\u0391\u039b\u039f\u0393\u0399\u0391\u00a0<\/strong><strong>\u039a\u0391\u0399 \u0397 \u0391\u039a\u039f\u039b\u039f\u03a5\u0398\u0399\u0391 FIBONACCI<\/strong><\/p>\n<p>\u039f Fibonacci \u03ae\u03c4\u03b1\u03bd \u03c0\u03bf\u03bb\u03cd \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc\u03c2 \u03c3\u03c4\u03b7\u03bd \u03b5\u03c0\u03bf\u03c7\u03ae \u03c4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03b1\u03bd\u03b1\u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03ae\u03bc\u03b5\u03c1\u03b1 \u03c9\u03c2 \u03bf \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03c4\u03bf\u03c5 \u039c\u03b5\u03c3\u03b1\u03af\u03c9\u03bd\u03b1. \u0393\u03b5\u03bd\u03bd\u03ae\u03b8\u03b7\u03ba\u03b5 \u03c3\u03c4\u03b7 \u03b4\u03b5\u03ba\u03b1\u03b5\u03c4\u03af\u03b1 \u03c4\u03bf\u03c5 1170 \u03ba\u03b1\u03b9 \u03c0\u03ad\u03b8\u03b1\u03bd\u03b5 \u03c4\u03bf 1250.<\/p>\n<p>\u0397 \u03c3\u03b5\u03b9\u03c1\u03ac Fibonacci \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac \u03c3\u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 \u03bf \u03ba\u03ac\u03b8\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03b4\u03cd\u03bf \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03c5\u03bc\u03ad\u03bd\u03c9\u03bd \u03c4\u03b7\u03c2 \u03c3\u03b5\u03b9\u03c1\u03ac\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7\u00a01, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, \u2026<\/p>\n<p>\u039f \u03bb\u03cc\u03b3\u03bf\u03c2 \u03b4\u03c5\u03bf \u03b4\u03b9\u03b1\u03b4\u03bf\u03c7\u03b9\u03ba\u03ce\u03bd \u03b6\u03b5\u03c5\u03b3\u03b1\u03c1\u03b9\u03ce\u03bd \u03c4\u03b7\u03c2 \u03c3\u03b5\u03b9\u03c1\u03ac\u03c2 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c7\u03c1\u03c5\u03c3\u03ae \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1 \u03ba\u03b1\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03c6=1.618033989.<br \/>\n\u039f \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03c1\u03bf\u03c6\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf 0.618033989 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae 1\/\u03c6=\u03c6+1.<\/p>\n<p>\u03a4\u03b1 \u03c6\u03c5\u03c4\u03ac \u03b4\u03b5 \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bd \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 Fibonacci, \u03b1\u03c0\u03bb\u03ac \u03bc\u03b5\u03b3\u03b1\u03bb\u03ce\u03bd\u03bf\u03c5\u03bd \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c0\u03b9\u03bf \u03c0\u03c1\u03cc\u03c3\u03c6\u03bf\u03c1\u03bf \u03ba\u03b1\u03b9 \u03b1\u03c0\u03bf\u03b4\u03bf\u03c4\u03b9\u03ba\u03cc \u03c4\u03cc\u03c0\u03bf. \u038c\u03bc\u03c9\u03c2 \u03b7 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03ba\u03ac\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03bc\u03c6\u03ac\u03bd\u03b9\u03c3\u03ae \u03c4\u03b7\u03c2 \u03c3\u03c4\u03b7 \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7 \u03c4\u03c9\u03bd \u03c6\u03cd\u03bb\u03c9\u03bd \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03bc\u03af\u03c3\u03c7\u03bf. \u0395\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03c3\u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7 \u03c4\u03c9\u03bd \u03b2\u03b5\u03bb\u03cc\u03bd\u03c9\u03bd \u03b1\u03c1\u03ba\u03b5\u03c4\u03ce\u03bd \u03b5\u03b9\u03b4\u03ce\u03bd \u03b5\u03bb\u03ac\u03c4\u03bf\u03c5, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7 \u03c4\u03c9\u03bd \u03c0\u03b5\u03c4\u03ac\u03bb\u03c9\u03bd \u03c3\u03c4\u03b9\u03c2 \u03bc\u03b1\u03c1\u03b3\u03b1\u03c1\u03af\u03c4\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03b7\u03bb\u03b9\u03bf\u03c4\u03c1\u03cc\u03c0\u03b9\u03b1. \u039c\u03b5\u03c1\u03b9\u03ba\u03ac \u03ba\u03c9\u03bd\u03bf\u03c6\u03cc\u03c1\u03b1 \u03b4\u03ad\u03bd\u03b4\u03c1\u03b1 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bd \u03c4\u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd \u03c3\u03c4\u03b7 \u03b4\u03bf\u03bc\u03ae \u03c4\u03b7\u03c2 \u03b5\u03c0\u03b9\u03c6\u03ac\u03bd\u03b5\u03b9\u03b1\u03c2 \u03c4\u03c9\u03bd \u03ba\u03bf\u03c1\u03bc\u03ce\u03bd \u03c4\u03bf\u03c5\u03c2, \u03b5\u03bd\u03ce \u03c4\u03b1 \u03c6\u03bf\u03b9\u03bd\u03b9\u03ba\u03cc\u03b4\u03b5\u03bd\u03b4\u03c1\u03b1 \u03c3\u03c4\u03bf\u03c5\u03c2 \u03b4\u03b1\u03ba\u03c4\u03c5\u03bb\u03af\u03bf\u03c5\u03c2 \u03c4\u03c9\u03bd \u03ba\u03bf\u03c1\u03bc\u03ce\u03bd \u03c4\u03bf\u03c5\u03c2.<\/p>\n<p>\u038c\u03bc\u03c9\u03c2 \u03c0\u03ce\u03c2 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03b1\u03c5\u03c4\u03ae \u03b7 \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7, \u03b1\u03c5\u03c4\u03ae \u03b7 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 \u03c3\u03b5 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1; \u03a3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c6\u03c5\u03bb\u03bb\u03ce\u03bc\u03b1\u03c4\u03bf\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c3\u03c7\u03b5\u03c4\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b7 \u03bc\u03b5\u03b3\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c7\u03ce\u03c1\u03bf\u03c5 \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03b1\u03b8\u03ad\u03c3\u03b9\u03bc\u03bf\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7 \u03ba\u03ac\u03b8\u03b5 \u03c6\u03cd\u03bb\u03bb\u03bf\u03c5 \u03ae \u03c4\u03bf \u03c6\u03ce\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03ad\u03c6\u03c4\u03b5\u03b9 \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03bf \u03ba\u03ac\u03b8\u03b5 \u03c6\u03cd\u03bb\u03bb\u03bf. \u0397 \u03c6\u03cd\u03c3\u03b7 \u03c0\u03c1\u03bf\u03c6\u03b1\u03bd\u03ce\u03c2 \u03b4\u03b5\u03bd \u03c0\u03c1\u03bf\u03c3\u03c0\u03b1\u03b8\u03b5\u03af \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 Fibonacci, \u03b1\u03c5\u03c4\u03ae \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ce\u03c2 \u03c4\u03bf \u03b4\u03b5\u03c5\u03c4\u03b5\u03c1\u03b5\u03cd\u03bf\u03bd \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03bc\u03b9\u03b1\u03c2 \u03c0\u03bf\u03bb\u03cd \u03b2\u03b1\u03b8\u03cd\u03c4\u03b5\u03c1\u03b7\u03c2 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae\u03c2 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1\u03c2.<\/p>\n<p>\u039f\u03b9 \u03c0\u03bf\u03bb\u03c5\u03ac\u03c1\u03b9\u03b8\u03bc\u03b5\u03c2 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03c3\u03b5\u03b9\u03c2 \u03c4\u03b7\u03c2 \u03c7\u03c1\u03c5\u03c3\u03ae\u03c2 \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1\u03c2, \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03c7\u03c1\u03c5\u03c3\u03ce\u03bd \u03bf\u03c1\u03b8\u03bf\u03b3\u03c9\u03bd\u03af\u03c9\u03bd \u03c3\u03c4\u03b7\u03bd \u03c4\u03ad\u03c7\u03bd\u03b7, \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd\u03c4\u03b9\u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03bf \u03c3\u03c5\u03b6\u03b7\u03c4\u03ae\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b5\u03c1\u03b5\u03c5\u03bd\u03ce\u03bd \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03c8\u03c5\u03c7\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u03b3\u03b9\u03b1 \u03c4\u03bf \u03ba\u03b1\u03c4\u03ac \u03c0\u03cc\u03c3\u03bf \u03bf\u03b9 \u03ac\u03bd\u03b8\u03c1\u03c9\u03c0\u03bf\u03b9 \u03b1\u03bd\u03c4\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c7\u03c1\u03c5\u03c3\u03cc \u03bf\u03c1\u03b8\u03bf\u03b3\u03ce\u03bd\u03b9\u03bf \u03b3\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03ce\u03c2 \u03c0\u03b9\u03bf \u03cc\u03bc\u03bf\u03c1\u03c6\u03bf \u03ba\u03b1\u03b9 \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03cc \u03c3\u03c7\u03ae\u03bc\u03b1 \u03b1\u03c0\u03cc \u03bf\u03c0\u03bf\u03b9\u03bf\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03ac\u03bb\u03bb\u03bf \u03bf\u03c1\u03b8\u03bf\u03b3\u03ce\u03bd\u03b9\u03bf. \u03a0\u03ad\u03c1\u03b1 \u03cc\u03bc\u03c9\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03b7 \u03c7\u03c1\u03c5\u03c3\u03ae \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1, \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c6, \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03c0\u03ad\u03c0\u03bb\u03bf \u03bc\u03c5\u03c3\u03c4\u03b7\u03c1\u03af\u03bf\u03c5, \u03ba\u03c5\u03c1\u03af\u03c9\u03c2 \u03b3\u03b9\u03b1\u03c4\u03af \u03b5\u03bd\u03c4\u03c5\u03c0\u03c9\u03c3\u03b9\u03b1\u03ba\u03ad\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03c3\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 \u03b1\u03c0\u03b1\u03bd\u03c4\u03ce\u03bd\u03c4\u03b1\u03b9, \u03b5\u03bd\u03c4\u03b5\u03bb\u03ce\u03c2 \u03b1\u03c0\u03c1\u03cc\u03c3\u03bc\u03b5\u03bd\u03b1 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03c9\u03c1\u03cc \u03bc\u03ad\u03c1\u03b7 \u03c3\u03c4\u03b7 \u03c6\u03cd\u03c3\u03b7. \u0391\u03ba\u03cc\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c4\u03bf\u03bc\u03ae \u03c4\u03bf\u03c5 \u03b1\u03bd\u03b8\u03c1\u03ce\u03c0\u03b9\u03bd\u03bf\u03c5 DNA \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03bd\u03c3\u03c9\u03bc\u03b1\u03c4\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9 \u03ac\u03c8\u03bf\u03b3\u03b1 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c7\u03c1\u03c5\u03c3\u03cc \u03b4\u03b5\u03ba\u03ac\u03b3\u03c9\u03bd\u03bf. \u0397 \u03c7\u03c1\u03c5\u03c3\u03ae \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03c3\u03c7\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03c3\u03c7\u03b5\u03c4\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03b1\u03c5\u03c4\u03ae \u03c3\u03c5\u03bd\u03b5\u03c7\u03af\u03b6\u03bf\u03c5\u03bd \u03bd\u03b1 \u03ba\u03b9\u03bd\u03bf\u03cd\u03bd \u03c4\u03bf \u03b5\u03bd\u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03bf\u03bd \u03c4\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd, \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03b1\u03c0\u03bb\u03ce\u03bd \u03b1\u03bd\u03b8\u03c1\u03ce\u03c0\u03c9\u03bd.<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/delfini.jpg?ssl=1\"><img decoding=\"async\" class=\"wp-image-85255\" src=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/delfini.jpg?w=700&#038;ssl=1\" alt=\"delfini\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<p><strong>T\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c4\u03c1\u03b9\u03b1\u03bd\u03c4\u03ac\u03c6\u03c5\u03bb\u03bb\u03bf \u2013 \u0391\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 Fibonacci<\/strong><\/p>\n<p>\u03a0\u03b9\u03ac\u03bd\u03b5\u03b9 \u03c3\u03c4\u03b1 \u03c7\u03ad\u03c1\u03b9\u03b1 \u03c4\u03bf\u03c5 \u03c4\u03bf \u03c4\u03c1\u03b9\u03b1\u03bd\u03c4\u03ac\u03c6\u03c5\u03bb\u03bb\u03bf \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03b5\u03af \u03c0\u03c1\u03bf\u03c3\u03b5\u03ba\u03c4\u03b9\u03ba\u03ac . \u0394\u03b9\u03b1\u03c0\u03b9\u03c3\u03c4\u03ce\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03bf \u03bb\u03bf\u03c5\u03bb\u03bf\u03cd\u03b4\u03b9 \u03c4\u03b1 \u03c1\u03bf\u03b4\u03bf\u03c0\u03ad\u03c4\u03b1\u03bb\u03b1 \u03b4\u03b9\u03b1\u03c4\u03ac\u03c3\u03c3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c3\u03c0\u03b5\u03b9\u03c1\u03bf\u03b5\u03b9\u03b4\u03ae \u03bc\u03bf\u03c1\u03c6\u03ae. \u03a0\u03b1\u03af\u03c1\u03bd\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03bc\u03b1\u03c7\u03b1\u03b9\u03c1\u03ac\u03ba\u03b9 \u03ba\u03b1\u03b9 \u03ba\u03cc\u03b2\u03b5\u03b9 \u03c4\u03bf \u03bb\u03bf\u03c5\u03bb\u03bf\u03cd\u03b4\u03b9. \u039e\u03b5\u03ba\u03b9\u03bd\u03ce\u03bd\u03c4\u03b1\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf \u03ba\u03b1\u03c4\u03b1\u03b3\u03c1\u03ac\u03c6\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03bc\u03b5 5 \u03c1\u03bf\u03b4\u03bf\u03c0\u03ad\u03c4\u03b1\u03bb\u03b1 , \u03c0\u03bf\u03c5 \u03be\u03b5\u03c6\u03c5\u03c4\u03c1\u03ce\u03bd\u03bf\u03c5\u03bd\u00a0 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c7\u03ae,\u00a0 \u03b7 \u03b1\u03bc\u03ad\u03c3\u03c9\u03c2 \u03b5\u03c5\u03c1\u03cd\u03c4\u03b5\u03c1\u03b7 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03ad\u03c7\u03b5\u03b9 ( \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03cc\u03bc\u03b5\u03bd\u03b7\u03c2 \u03c4\u03c9\u03bd \u03c0\u03b5\u03c4\u03ac\u03bb\u03c9\u03bd \u03c4\u03b7\u03c2 \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7\u03c2 )\u00a0\u00a0 8 \u03c1\u03bf\u03b4\u03bf\u03c0\u03ad\u03c4\u03b1\u03bb\u03b1 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ac,\u00a0 \u03b7 \u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03b7 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03bf\u03bc\u03ac\u03b4\u03b1<\/p>\n<p>( \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03cc\u03bc\u03b5\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03b5\u03c3\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03ce\u03bd) \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9\u00a0 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ac 13,<\/p>\n<p>\u03b7 \u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03b7 21 \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 34 \u03c1\u03bf\u03b4\u03bf\u03c0\u03ad\u03c4\u03b1\u03bb\u03b1.<\/p>\n<p>\u039f\u03b9 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03c4\u03bf\u03c5 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bd \u03b5\u03bd\u03c4\u03cd\u03c0\u03c9\u03c3\u03b7 . \u03a4\u03b1 \u03c1\u03bf\u03b4\u03bf\u03c0\u03ad\u03c4\u03b1\u03bb\u03b1 \u03b4\u03b9\u03b1\u03c4\u03ac\u03c3\u03c3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03bf\u03c5\u03bd \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9\u00a0\u03cc\u03c1\u03bf\u03b9 \u03c4\u03b7\u03c2\u00a0<strong>\u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1\u03c2 Fibonacci<\/strong><strong>.<\/strong><\/p>\n<p><em>1, 1, 2, 3, 5, 8, 13, 21, 34, 55. .<\/em><em>\u00a0.<\/em><\/p>\n<p>\u039a\u03b1\u03b8\u03ad\u03bd\u03b1\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03b4\u03cd\u03bf \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9.<\/p>\n<p>\u03a3\u03b5 \u03b3\u03bb\u03ce\u03c3\u03c3\u03b1 \u0386\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1\u03c2\u00a0\u00a0\u00a0\u00a0 \u03b1<sub>\u03bd<\/sub>\u00a0= \u03b1<sub>\u03bd-1<\/sub>\u00a0+ \u03b1<sub>\u03bd-2<\/sub><\/p>\n<p>\u03a3\u03c4\u03bf \u03c4\u03c1\u03b9\u03b1\u03bd\u03c4\u03ac\u03c6\u03c5\u03bb\u03bb\u03bf \u03c4\u03b1 \u03c1\u03bf\u03b4\u03bf\u03c0\u03ad\u03c4\u03b1\u03bb\u03b1 \u03c0\u03bf\u03c5 \u03bc\u03ad\u03c4\u03c1\u03b7\u03c3\u03b5 \u03b5\u03ba\u03b5\u03af\u03bd\u03bf\u03c2 \u03ae\u03c4\u03b1\u03bd \u03c4\u03c1\u03b9\u03b1\u03bd\u03c4\u03b1\u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1.<\/p>\n<p>\u03a3\u03b5 \u03c1\u03cc\u03b4\u03bf \u03bc\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03c0\u03ad\u03c4\u03b1\u03bb\u03b1 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b5\u03bd\u03ae\u03bd\u03c4\u03b1 \u03c0\u03ad\u03bd\u03c4\u03b5.<\/p>\n<p>\u0391\u03bd \u03c6\u03c4\u03b9\u03ac\u03be\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b9\u03b1 \u03bd\u03ad\u03b1 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03bc\u03b5 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03bb\u03cc\u03b3\u03bf\u03c5\u03c2 \u03c4\u03c9\u03bd \u03b4\u03b9\u03b1\u03b4\u03bf\u03c7\u03b9\u03ba\u03ce\u03bd \u03cc\u03c1\u03c9\u03bd \u03c4\u03b7\u03c2 \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7\u03c2\u00a0 \u03b8\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5\u00a0\u00a0\u00a0\u00a0 3\/2, 5\/3, 8\/5, 13\/8, 21\/13, 34\/21. . \u2013 \u03bc\u03b5 \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 1,5,\u00a0\u00a0 1,667,\u00a0\u00a0 1,6,\u00a0\u00a0 1,625,\u00a0\u00a0 1,615\u00a0\u00a0 1,619 . .\u00a0 \u2013\u00a0 \u03ba\u03b1\u03b9 \u03b8\u03b1 \u03b4\u03b9\u03b1\u03c0\u03b9\u03c3\u03c4\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03c3\u03c5\u03b3\u03ba\u03bb\u03af\u03bd\u03b5\u03b9 \u03c0\u03c1\u03bf\u03c2 \u03ad\u03bd\u03b1\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc. \u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03c3\u03c5\u03b3\u03ba\u03bb\u03af\u03bd\u03b5\u03b9 \u03b7 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03c6, \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2\u00a0<strong>(1+<\/strong><strong>\u00d6<\/strong><strong>5) \/2<\/strong>\u00a0\u03ae\u00a0 \u2013 \u03bc\u03b5 \u03c4\u03c1\u03af\u03b1 \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ac \u2013 \u00a0\u00a0\u03af\u03c3\u03bf\u03c2 \u03bc\u03b5\u00a01, 618, \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03c4\u03b7 \u03a7\u03a1\u03a5\u03a3\u0397 \u03a4\u039f\u039c\u0397.<\/p>\n<p>\u03a7\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1 \u03b5\u03c5\u03b8\u03cd\u03b3\u03c1\u03b1\u03bc\u03bc\u03bf \u03c4\u03bc\u03ae\u03bc\u03b1 \u03c3\u03b5 \u03b4\u03cd\u03bf \u03ba\u03bf\u03bc\u03bc\u03ac\u03c4\u03b9\u03b1. \u03a3\u03c4\u03b7 \u03b3\u03bb\u03ce\u03c3\u03c3\u03b1 \u03c4\u03b7\u03c2 \u03b5\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ae\u03c2 \u0393\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03af\u03b1\u03c2 \u03bb\u03ad\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b9\u03b1 \u03a4\u039f\u039c\u0397 \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03a7\u03a1\u03a5\u03a3\u0397 \u03b5\u03c6\u03cc\u03c3\u03bf\u03bd \u03bf \u03bb\u03cc\u03b3\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf\u03c5 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03bf \u03bc\u03b9\u03ba\u03c1\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03bf \u03bb\u03cc\u03b3\u03bf \u03bf\u03bb\u03cc\u03ba\u03bb\u03b7\u03c1\u03bf\u03c5 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03bf \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf.<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/Fibona50.jpg?ssl=1\"><img decoding=\"async\" class=\"wp-image-85256\" src=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/Fibona50.jpg?w=700&#038;ssl=1\" alt=\"Fibona50\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/fibonacci-nature-2.jpg?ssl=1\"><img decoding=\"async\" class=\"wp-image-85257\" src=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/fibonacci-nature-2.jpg?w=700&#038;ssl=1\" alt=\"fibonacci-nature-2\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<p><em><strong>\u0397 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 Fibonacci \u00a0\u03ba\u03b1\u03b9 \u03c4\u03b1 \u03ba\u03bf\u03c5\u03bd\u03ad\u03bb\u03b9\u03b1<\/strong><\/em><\/p>\n<p><strong>\u03a4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c9\u03c2 \u03b5\u03be\u03ae\u03c2:<\/strong><\/p>\n<p>\u03a3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03c0\u03af\u03c4\u03b9 \u03c3\u03c4\u03bf \u03c7\u03c9\u03c1\u03b9\u03cc \u03b3\u03b5\u03bd\u03bd\u03b9\u03ad\u03c4\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9 \u03ba\u03bf\u03c5\u03bd\u03ad\u03bb\u03b9\u03b1. \u03a4\u03b1 \u03ba\u03bf\u03c5\u03bd\u03ad\u03bb\u03b9\u03b1 \u03b1\u03c5\u03c4\u03ac \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 2 \u03bc\u03ae\u03bd\u03b5\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03bc\u03b5\u03b3\u03b1\u03bb\u03ce\u03c3\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b1\u03c1\u03c7\u03af\u03c3\u03bf\u03c5\u03bd \u03bd\u03b1 \u03b3\u03b5\u03bd\u03bd\u03bf\u03cd\u03bd. \u0388\u03c4\u03c3\u03b9 \u03bc\u03b5\u03c4\u03ac \u03b1\u03c0\u03cc \u03b4\u03cd\u03bf \u03bc\u03ae\u03bd\u03b5\u03c2 \u03c4\u03bf \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9 \u03b1\u03c5\u03c4\u03cc \u03b3\u03b5\u03bd\u03bd\u03ac \u03ad\u03bd\u03b1 \u03bd\u03ad\u03bf \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03ba\u03ac\u03b8\u03b5 \u03bc\u03ae\u03bd\u03b1. \u03a4\u03b1 \u03bd\u03ad\u03b1 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9\u03b1 \u03bc\u03b5\u03b3\u03b1\u03bb\u03ce\u03bd\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03ba\u03b9 \u03b1\u03c5\u03c4\u03ac \u03bc\u03b5 \u03c4\u03bf\u03bd \u03af\u03b4\u03b9\u03bf \u03c4\u03c1\u03cc\u03c0\u03bf. \u03a0\u03cc\u03c3\u03b1 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9\u03b1 \u03ba\u03bf\u03c5\u03bd\u03ad\u03bb\u03b9\u03b1 \u03b8\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b5\u03c4\u03ac \u03b1\u03c0\u03cc 3 \u03bc\u03ae\u03bd\u03b5\u03c2 , 4 \u03bc\u03ae\u03bd\u03b5\u03c2 , 6 \u03bc\u03ae\u03bd\u03b5\u03c2 , \u03bc\u03b5\u03c4\u03ac \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03c7\u03c1\u03cc\u03bd\u03bf;<\/p>\n<p>\u0391\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7:<\/p>\n<p>\u03a3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03c4\u03bf\u03c5 \u03c0\u03c1\u03ce\u03c4\u03bf\u03c5 \u03bc\u03ae\u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 1 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9 \u03ba\u03bf\u03c5\u03bd\u03ad\u03bb\u03b9\u03b1<\/p>\n<p>\u03a3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03c4\u03bf\u03c5 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf\u03c5 \u03bc\u03ae\u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03c0\u03ac\u03bb\u03b9 \u03ad\u03bd\u03b1 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9<\/p>\n<p>\u03a3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03c4\u03bf\u03c5 \u03c4\u03c1\u03af\u03c4\u03bf\u03c5 \u03bc\u03ae\u03bd\u03b1 \u03c4\u03bf \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9 \u03b3\u03b5\u03bd\u03bd\u03ac \u03ba\u03b1\u03b9 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 2 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9\u03b1<\/p>\n<p>\u03a3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03c4\u03bf\u03c5 \u03c4\u03ad\u03c4\u03b1\u03c1\u03c4\u03bf\u03c5 \u03bc\u03ae\u03bd\u03b1 \u03c4\u03bf \u03c0\u03c1\u03ce\u03c4\u03bf \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9 \u03b3\u03b5\u03bd\u03bd\u03ac \u03c0\u03ac\u03bb\u03b9 , \u03b1\u03bb\u03bb\u03ac \u03c4\u03bf \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b5 \u03b8\u03ad\u03c3\u03b7<br \/>\n\u03b1\u03ba\u03cc\u03bc\u03b7,\u00a0 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae 3 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9\u03b1.<br \/>\n\u03a3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03c4\u03bf\u03c5 \u03c0\u03ad\u03bc\u03c0\u03c4\u03bf\u03c5 \u03bc\u03ae\u03bd\u03b1 \u03b3\u03b5\u03bd\u03bd\u03ac \u03c0\u03ac\u03bb\u03b9 \u03c4\u03bf \u03b1\u03c1\u03c7\u03b9\u03ba\u03cc \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9 , \u03b3\u03b5\u03bd\u03bd\u03ac \u03ba\u03b1\u03b9 \u03c4\u03bf \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf , \u03b4\u03b5 \u03b3\u03b5\u03bd\u03bd\u03ac \u03c4\u03bf \u03c4\u03c1\u03af\u03c4\u03bf.<br \/>\n\u03a3\u03cd\u03bd\u03bf\u03bb\u03bf 5 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9\u03b1<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/aa.jpg?ssl=1\"><img decoding=\"async\" class=\"wp-image-85258\" src=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/aa.jpg?w=700&#038;ssl=1\" alt=\"aa\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<p>\u0388\u03c4\u03c3\u03b9, \u03c4\u03bf \u03c0\u03bb\u03ae\u03b8\u03bf\u03c2 \u03c4\u03c9\u03bd \u03b6\u03b5\u03c5\u03b3\u03b1\u03c1\u03b9\u03ce\u03bd \u03c4\u03c9\u03bd \u03ba\u03bf\u03c5\u03bd\u03b5\u03bb\u03b9\u03ce\u03bd \u03c3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03ba\u03ac\u03b8\u03b5 \u03bc\u03ae\u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 1, 1, 2, 3, 5, 8, 13, 21, 34, .. \u03a0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03ba\u03ac\u03b8\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c3\u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \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. \u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03bb\u03bf\u03b3\u03b9\u03ba\u03cc \u03bd\u03b1 \u03c3\u03c5\u03bc\u03b2\u03b1\u03af\u03bd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03ba\u03ac\u03b8\u03b5 \u03bc\u03ae\u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b1 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9\u03b1 \u03c0\u03bf\u03c5 \u03b5\u03af\u03c7\u03b1\u03bc\u03b5 \u03c4\u03bf\u03bd \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf \u03bc\u03ae\u03bd\u03b1 \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b9\u03c0\u03bb\u03ad\u03bf\u03bd \u03c4\u03cc\u03c3\u03b1 \u03bd\u03b5\u03bf\u03b3\u03ad\u03bd\u03bd\u03b7\u03c4\u03b1 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9\u03b1 \u03cc\u03c3\u03b1 \u03ba\u03b1\u03b9 \u03b5\u03bd\u03ae\u03bb\u03b9\u03ba\u03b1 \u03b6\u03b5\u03c5\u03b3\u03ac\u03c1\u03b9\u03b1 \u03b3\u03bf\u03bd\u03ad\u03c9\u03bd \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5.<\/p>\n<p><strong>\u0386\u03c1\u03b1 \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af\u00a0<\/strong><strong>Fibonacci<\/strong>\u00a0<strong>\u03b5\u03af\u03bd\u03b1\u03b9: 1,1,2,3,5,8,13,21,34,55,89,\u2026.. \u00a0\u03bc\u03b5 \u03c4\u03bf\u03bd \u03ba\u03ac\u03b8\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03bd\u03b1 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03b1\u03c0\u03cc \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 \u03c4\u03bf\u03c5.<\/strong><\/p>\n<p><strong>1+1=2 , 1+2=3 , 3+5=8 , 5+8=13 ,\u2026..<\/strong><\/p>\n<p><em><strong>7. To\u00a0 \u03c3\u03c7\u03ae\u03bc\u03b1 \u03c4\u03b7\u03c2 \u03b3\u03b7\u03c2.<\/strong><\/em><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-5189\" src=\"https:\/\/i0.wp.com\/www.ma8imatikos.gr\/wp-content\/uploads\/2025\/02\/image-5.png?resize=225%2C225&#038;ssl=1\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" srcset=\"https:\/\/i0.wp.com\/www.ma8imatikos.gr\/wp-content\/uploads\/2025\/02\/image-5.png?resize=225%2C225&#038;ssl=1 225w, https:\/\/www.ma8imatikos.gr\/wp-content\/uploads\/2025\/02\/image-5-150x150.png 150w\" alt=\"\" width=\"225\" height=\"225\" data-recalc-dims=\"1\" \/><\/figure>\n<\/div>\n<p>\u0391\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c3\u03c7\u03ae\u03bc\u03b1 \u03c4\u03b7\u03c2 \u03b3\u03b7\u03c2\u00a0( \u03c0\u03b5\u03c0\u03bb\u03b1\u03c4\u03c5\u03c3\u03bc\u03ad\u03bd\u03bf \u03c3\u03c6\u03b1\u03b9\u03c1\u03bf\u03b5\u03b9\u03b4\u03ad\u03c2 ) \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03b9\u03b4\u03b1\u03bd\u03b9\u03ba\u03cc \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03bb\u03b1\u03c7\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03ad\u03bb\u03be\u03b7\u03c2 \u03c4\u03b7\u03c2 \u03b2\u03b1\u03c1\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c3\u03c4\u03b1 \u03b5\u03be\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03ac \u03c4\u03b7\u03c2 \u03ac\u03ba\u03c1\u03b1.<\/p>\n<p><em><strong>8. \u0397\u00a0<\/strong><strong>\u03b1\u03c5\u03c4\u03bf\u03bf\u03bc\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c4\u03b7 \u03c6\u03cd\u03c3\u03b7<\/strong><\/em><\/p>\n<p>\u03a4\u03c1\u03af\u03b1 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ce\u03bd \u03b1\u03bd\u03c4\u03b9\u03ba\u03b5\u03b9\u03bc\u03ad\u03bd\u03c9\u03bd \u03c0\u03bf\u03c5 \u03b5\u03ba\u03b4\u03b7\u03bb\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b7 \u03b1\u03c5\u03c4\u03bf\u03bf\u03bc\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03ba\u03bf\u03c5\u03bd\u03bf\u03c5\u03c0\u03af\u03b4\u03b9, \u03b7 \u03c6\u03c4\u03ad\u03c1\u03b7 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03b1\u03ba\u03c4\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03c2.<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"alignright\"><a href=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/Image141.gif?ssl=1\"><img decoding=\"async\" class=\"wp-image-85259\" src=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/Image141.gif?w=700&#038;ssl=1\" alt=\"Image141\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<p>\u03b1. \u0397 \u03c6\u03c4\u03ad\u03c1\u03b7 \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b7\u03b3\u03bf\u03c1\u03af\u03b1 \u03c4\u03c9\u03bd \u03c6\u03c5\u03c4\u03ce\u03bd \u03c0\u03bf\u03c5 \u03b5\u03ba\u03b4\u03b7\u03bb\u03ce\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03b7\u03c2\u03b1\u03c5\u03c4\u03bf\u03bf\u03bc\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03c4\u03c1\u03cc\u03c0\u03bf. \u039c\u03b9\u03b1 \u03c6\u03c4\u03ad\u03c1\u03b7 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c6\u03cd\u03bb\u03bb\u03b1 \u03ba\u03b1\u03b8\u03ad\u03bd\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c0\u03bf\u03bb\u03bb\u03ac \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b1. \u039a\u03b1\u03b9 \u03b1\u03c5\u03c4\u03ac \u03b1\u03ba\u03cc\u03bc\u03b1 \u03c4\u03b1 \u03bc\u03b9\u03ba\u03c1\u03ac \u03c6\u03cd\u03bb\u03bb\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03b1\u03ba\u03cc\u03bc\u03b1 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b1 \u03c0\u03bf\u03c5 \u03b4\u03b9\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bd \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03b4\u03bf\u03bc\u03ae \u03bc\u03b5 \u03c4\u03b7 \u03c6\u03c4\u03ad\u03c1\u03b7.<\/p>\n<p>\u03b2. \u0391\u03bd \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03ba\u03bf\u03c5\u03bd\u03bf\u03c5\u03c0\u03af\u03b4\u03b9 \u03b1\u03c0\u03bf\u03c3\u03c0\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1 \u03ba\u03bf\u03bc\u03bc\u03ac\u03c4\u03b9 \u03b8\u03b1 \u03b4\u03b9\u03b1\u03c0\u03b9\u03c3\u03c4\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b1\u03c5\u03c4\u03cc \u03bc\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03c4\u03bf \u03b1\u03c1\u03c7\u03b9\u03ba\u03cc, \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf \u03b1\u03bd\u03c4\u03af\u03b3\u03c1\u03b1\u03c6\u03bf. \u0391\u03bd \u03b1\u03c0\u03cc \u03c4\u03bf \u03c0\u03c1\u03ce\u03c4\u03bf \u03b1\u03c0\u03bf\u03c3\u03c0\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1 \u03ba\u03bf\u03bc\u03bc\u03ac\u03c4\u03b9 \u03b8\u03b1 \u03b4\u03b9\u03b1\u03c0\u03b9\u03c3\u03c4\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03ba\u03cc\u03bc\u03b1 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf \u03b1\u03bb\u03bb\u03ac \u03b5\u03be\u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03b5\u03af \u03bd\u03b1 \u03bc\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03c4\u03bf \u03b1\u03c1\u03c7\u03b9\u03ba\u03cc.<\/p>\n<p>\u03b3. \u0391\u03c2 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c7\u03ac\u03c1\u03c4\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03ac\u03c6\u03bf\u03c5\u03bd \u03b1\u03ba\u03c4\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03c2 \u03c3\u03b5 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b5\u03c2. \u0391\u03c5\u03c4\u03cc \u03c0\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03b1\u03c0\u03bf\u03ba\u03b1\u03bb\u03cd\u03c0\u03c4\u03b5\u03c4\u03b1\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03cc\u03bc\u03bf\u03b9\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03ba\u03cc\u03bb\u03c0\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b1\u03ba\u03c1\u03c9\u03c4\u03b7\u03c1\u03af\u03c9\u03bd. \u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b8\u03b5\u03c9\u03c1\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03ba\u03c4\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c6\u03c1\u03ac\u03ba\u03c4\u03b1\u03bb \u03b4\u03bf\u03bc\u03ae \u03bc\u03b5 \u03c4\u03b7\u03bd \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03cc\u03c4\u03b9 \u03b1\u03bd \u03bc\u03b5\u03b3\u03b5\u03b8\u03cd\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bd\u03ad\u03bf\u03b9 \u03ba\u03cc\u03bb\u03c0\u03bf\u03b9 \u03ba\u03b1\u03b9 \u03b1 \u03ba\u03c1\u03c9\u03c4\u03ae\u03c1\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03c0\u03b1\u03c1\u03cc\u03bb\u03b1 \u03b1\u03c5\u03c4\u03ac \u03b5\u03be\u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03b5\u03af \u03bd\u03b1 \u03bc\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03b1\u03ba\u03c4\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03ae.<\/p>\n<p><em>\u0397 \u03b1\u03c5\u03c4\u03bf\u03bf\u03bc\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c6\u03c1\u03ac\u03ba\u03c4\u03b1\u03bb.<\/em><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"alignleft\"><a href=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/KochFrillFlake3_1000.gif?ssl=1\"><img decoding=\"async\" class=\"wp-image-85261\" src=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/KochFrillFlake3_1000.gif?w=700&#038;ssl=1\" alt=\"KochFrillFlake3_1000\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<p>\u0397 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03b9\u03ce\u03b4\u03b7\u03c2 \u03bc\u03bf\u03bd\u03c4\u03b5\u03bb\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03bc\u03b9\u03b1\u03c2 \u03c6\u03c4\u03ad\u03c1\u03b7\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03b5\u03af \u03bc\u03b5 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03b5\u03bd\u03cc\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03bf\u03cd \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd\u03c4\u03bf\u03c2. \u0388\u03bd\u03b1 \u03bc\u03b9\u03ba\u03c1\u03cc \u03c0\u03c1\u03cc\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03ad\u03c2 \u03b1\u03bd\u03b1\u03b4\u03c1\u03bf\u03bc\u03b9\u03ba\u03ad\u03c2 \u03ba\u03bb\u03ae\u03c3\u03b5\u03b9\u03c2, \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2, \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c1\u03ba\u03b5\u03c4\u03cc \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03bc\u03bf\u03bd\u03c4\u03b5\u03bb\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b1 \u03b5\u03bd\u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03bf\u03bd\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c6\u03c1\u03ac\u03ba\u03c4\u03b1\u03bb \u03cc\u03c0\u03c9\u03c2 \u03b3\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03b7 \u03c6\u03c4\u03ad\u03c1\u03b7, \u03c4\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf \u03c4\u03bf\u03c5 Sierpinski, \u03c4\u03b1 \u03c6\u03c1\u03ac\u03ba\u03c4\u03b1\u03bb \u03b4\u03ad\u03bd\u03c4\u03c1\u03b1 \u03ba\u03b1\u03b9 \u03b7 \u03c7\u03b9\u03bf\u03bd\u03bf\u03bd\u03b9\u03c6\u03ac\u03b4\u03b1 \u03c4\u03bf\u03c5 Koch \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1. \u0394\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03b9\u03c3\u03cc\u03c0\u03bb\u03b5\u03c5\u03c1\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf \u03bc\u03b5 \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 3l. \u03a3\u03c4\u03bf \u03ba\u03b5\u03bd\u03c4\u03c1\u03b9\u03ba\u03cc \u03c4\u03bc\u03ae\u03bc\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03b5\u03af\u03c4\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03cc\u03bc\u03bf\u03b9\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf \u03bc\u03b5 \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 l \u03ba\u03b1\u03b9 \u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03b5\u03c1\u03b9\u03cc\u03c1\u03b9\u03c3\u03c4\u03b1, \u03b4\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c9\u03c2 \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c4\u03b7\u03bd \u03bb\u03b5\u03b3\u03cc\u03bc\u03b5\u03bd\u03b7 \u03bd\u03b9\u03c6\u03ac\u03b4\u03b1 \u03c4\u03bf\u03cd Koch.<\/p>\n<p>\u2018\u0395\u03bd\u03b1 \u03ac\u03bb\u03bb\u03bf \u03b2\u03b1\u03c3\u03b9\u03ba\u03cc \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03b5\u03bd\u03cc\u03c2 \u03c6\u03c1\u03ac\u03ba\u03c4\u03b1\u03bb \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03bc\u03b5\u03c4\u03c1\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 fractal D.<\/p>\n<p>\u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03bd\u03b5\u03b9 \u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03ac\u03c3\u03c7\u03b5\u03c4\u03b1 \u03bc\u03b5 \u03c4\u03bf \u03c0\u03cc\u03c3\u03bf \u03c0\u03bf\u03bb\u03cd \u03b8\u03b1 \u03bc\u03b5\u03b3\u03b5\u03b8\u03c5\u03bd\u03b8\u03b5\u03af \u03c4\u03bf \u03b1\u03bd\u03c4\u03b9\u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03bf \u03ae \u03c5\u03c0\u03cc \u03c0\u03bf\u03af\u03b1 \u03b3\u03c9\u03bd\u03af\u03b1 \u03b8\u03b1 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03b7\u03b8\u03b5\u03af. \u0397 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 fractal \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03b5\u03bd\u03b1\u03bd \u03bc\u03b7 \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u201c\u03ba\u03bb\u03ac\u03c3\u03bc\u03b1\u201d, \u03b1\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03b1 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b7\u03bd \u03b5\u03c5\u03ba\u03bb\u03b5\u03af\u03b4\u03b5\u03b9\u03b1 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03af\u03b1.<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/mandel1.gif?ssl=1\"><img decoding=\"async\" class=\"wp-image-85260\" src=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/mandel1.gif?w=700&#038;ssl=1\" alt=\"mandel1\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<p>\u03a3\u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03b7 \u03c0\u03b5\u03c1\u03af\u03bc\u03b5\u03c4\u03c1\u03bf\u03c2 \u03ba\u03ac\u03b8\u03b5 \u03c3\u03c7\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b1\u03c5\u03be\u03ac\u03bd\u03b5\u03b9 \u03c3\u03b5 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5 \u03b1\u03c5\u03c4\u03ae \u03c4\u03bf\u03cd \u03b1\u03bc\u03ad\u03c3\u03c9\u03c2 \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03c5\u03bc\u03ad\u03bd\u03bf\u03c5 \u03c3\u03c7\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03ba\u03b1\u03c4\u03ac \u03c4\u03bf\u03bd \u03bb\u03cc\u03b3\u03bf 4 \u03c0\u03c1\u03bf\u03c2 3. \u0397 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 fractal D \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03c3\u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c5\u03c8\u03c9\u03b8\u03b5\u03af \u03c4\u03bf 3 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03ce\u03c3\u03b5\u03b9 4, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae 3D = 4. \u0397 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03bc\u03b5\u03c4\u03c1\u03bf \u03c4\u03bf\u03cd fractal \u03c4\u03bf\u03c5 \u03b1\u03bd\u03c9\u03c4\u03ad\u03c1\u03c9 \u03c3\u03c7\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 log4\/log3 \u03ae \u03c0\u03c1o\u03c3\u03b5\u03b3\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac 1 ,26.<\/p>\n<p>\u03a4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03b5\u03c1\u03b9\u03bc\u03ad\u03c4\u03c1\u03bf\u03c5 \u03c4\u03bf\u03cd fractal \u03b5\u03af\u03bd\u03b1\u03b9 3l*(4\/3)*(4\/3)\u2026. \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf, \u03b1\u03bb\u03bb\u03ac \u03c0\u03b5\u03c1\u03b9\u03ba\u03bb\u03b5\u03af\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03c0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03bf \u03b5\u03bc\u03b2\u03b1\u03b4\u03cc\u03bd \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u03cc \u03c4\u03bf \u03b5\u03bc\u03b2\u03b1\u03b4\u03cc\u03bd \u03c4\u03bf\u03cd \u03c0\u03b5\u03c1\u03b9\u03b3\u03b5\u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03bf\u03c5 \u03ba\u03cd\u03ba\u03bb\u03bf\u03c5 \u03c3\u03c4\u03bf \u03b1\u03c1\u03c7\u03b9\u03ba\u03cc \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf. \u0397 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 fractal D \u03b1\u03c0\u03bf\u03ba\u03b1\u03bb\u03cd\u03c0\u03c4\u03b5\u03b9 \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 \u03c4\u03b9\u03c2 \u03bb\u03b5\u03c0\u03c4\u03ad\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c0\u03bf\u03bb\u03c5\u03c0\u03bb\u03bf\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03bc\u03b7 \u03b5\u03c5\u03ba\u03bb\u03b5\u03af\u03b4\u03b5\u03b9\u03bf\u03c5 \u03c3\u03c7\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2.<\/p>\n<p><strong>9. \u0392\u03b9\u03bf\u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c3\u03c7\u03ad\u03b4\u03b9\u03b1<\/strong><\/p>\n<p><strong>\u03a0\u03ce\u03c2 \u03bf\u03b9 \u03b6\u03c9\u03bd\u03c4\u03b1\u03bd\u03bf\u03af \u03bf\u03c1\u03b3\u03b1\u03bd\u03b9\u03c3\u03bc\u03bf\u03af \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03bf\u03c5\u03bd \u03c0\u03bf\u03bb\u03cd\u03c0\u03bb\u03bf\u03ba\u03b5\u03c2 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03c6\u03bf\u03c1\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03c7\u03ad\u03b4\u03b9\u03b1, \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03ad\u03bd\u03b1 \u03c3\u03c4\u03bf \u03b3\u03b5\u03bd\u03b5\u03c4\u03b9\u03ba\u03cc \u03c4\u03bf\u03c5\u03c2 \u03ba\u03ce\u03b4\u03b9\u03ba\u03b1.\u00a0<\/strong><\/p>\n<p>\u03a0\u03b1\u03c1\u03ac \u03c4\u03b7 \u03c7\u03b1\u03bc\u03b7\u03bb\u03ae \u03c4\u03b7\u03c2 \u03b8\u03ad\u03c3\u03b7 \u03c3\u03c4\u03bf \u03b4\u03ad\u03bd\u03c4\u03c1\u03bf \u03c4\u03b7\u03c2 \u03b6\u03c9\u03ae\u03c2, \u03b7 \u03b1\u03bc\u03bf\u03b9\u03b2\u03ac\u03b4\u03b1 \u0394\u03b9\u03ba\u03c4\u03c5\u03bf\u03c3\u03c4\u03ae\u03bb\u03b9\u03bf \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03ac, \u03cc\u03c0\u03c9\u03c2 \u03bb\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03b5\u03af\u03b4\u03bf\u03c2 \u03bc\u03bf\u03cd\u03c7\u03bb\u03b1\u03c2, \u03ba\u03b1\u03c4\u03b1\u03c6\u03ad\u03c1\u03bd\u03b5\u03b9 \u03bd\u03b1 \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03c3\u03b5\u03b9 \u03b8\u03b1\u03c5\u03bc\u03ac\u03c3\u03b9\u03b1 \u03c3\u03c0\u03b5\u03b9\u03c1\u03bf\u03b5\u03b9\u03b4\u03ae \u03c3\u03c7\u03ae\u03bc\u03b1\u03c4\u03b1. \u03a3\u03b5 \u03c0\u03bf\u03b9\u03bf \u03b2\u03b1\u03b8\u03bc\u03cc \u03b1\u03c5\u03c4\u03ac \u03c4\u03b1 \u03c3\u03c7\u03ad\u03b4\u03b9\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03bf\u03b4\u03b9\u03b1\u03b3\u03b5\u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03b1 \u03c3\u03c4\u03b1 \u03b3\u03bf\u03bd\u03af\u03b4\u03b9\u03b1 \u03c4\u03b7\u03c2 \u03b1\u03bc\u03bf\u03b9\u03b2\u03ac\u03b4\u03b1\u03c2; \u03a5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b3\u03bf\u03bd\u03af\u03b4\u03b9\u03bf \u03b3\u03b9\u03b1 \u03c3\u03c0\u03b5\u03af\u03c1\u03b5\u03c2;<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/getImage.jpg?ssl=1\"><img decoding=\"async\" class=\"wp-image-85262\" src=\"https:\/\/i0.wp.com\/antikleidi.com\/wp-content\/uploads\/2015\/01\/getImage.jpg?w=700&#038;ssl=1\" alt=\"getImage\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n<\/div>\n<p>\u0393\u03b9\u03b1 \u03bd\u03b1 \u03b1\u03c0\u03b1\u03bd\u03c4\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03b7\u03bd \u03b5\u03c1\u03ce\u03c4\u03b7\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ae \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03be\u03ad\u03c1\u03bf\u03c5\u03bc\u03b5 \u03c0\u03ce\u03c2 \u03bf\u03b9 \u03b1\u03bc\u03bf\u03b9\u03b2\u03ac\u03b4\u03b5\u03c2 \u03c6\u03c4\u03b9\u03ac\u03c7\u03bd\u03bf\u03c5\u03bd \u03c4\u03b9\u03c2 \u03c3\u03c0\u03b5\u03af\u03c1\u03b5\u03c2. \u03a4\u03b1 \u03c3\u03c7\u03ad\u03b4\u03b9\u03b1 \u03b1\u03c5\u03c4\u03ac \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03bc\u03b9\u03b1\u03c2 \u03c3\u03c5\u03bb\u03bb\u03bf\u03b3\u03b9\u03ba\u03ae\u03c2 \u03b4\u03c1\u03b1\u03c3\u03c4\u03b7\u03c1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2. \u03a4\u03b1 \u03c3\u03c7\u03ad\u03b4\u03b9\u03b1 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03cc\u03c4\u03b1\u03bd \u03b7 \u03c4\u03c1\u03bf\u03c6\u03ae \u03b1\u03c1\u03c7\u03af\u03c3\u03b5\u03b9 \u03bd\u03b1 \u03bc\u03b5\u03b9\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9. \u039f\u03b9 \u03b1\u03bc\u03bf\u03b9\u03b2\u03ac\u03b4\u03b5\u03c2 \u03b1\u03c1\u03c7\u03af\u03b6\u03bf\u03c5\u03bd \u03bd\u03b1 \u03c0\u03bb\u03b7\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bd \u03c0\u03c1\u03bf\u03c2 \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03c0\u03bf\u03c1\u03b5\u03af\u03b1 \u03b1\u03c5\u03c4\u03ae \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03bf\u03c5\u03bd \u03bc\u03b9\u03b1 \u03cc\u03bc\u03bf\u03c1\u03c6\u03b7 \u03bb\u03b5\u03c0\u03c4\u03ae \u03c3\u03c0\u03b5\u03af\u03c1\u03b1. \u03a4\u03bf \u03c0\u03bb\u03ae\u03b8\u03bf\u03c2 \u03c4\u03c9\u03bd \u03b1\u03bc\u03bf\u03b9\u03b2\u03ac\u03b4\u03c9\u03bd \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03cc\u03bb\u03bf \u03ba\u03b1\u03b9 \u03c0\u03b9\u03bf \u03c0\u03c5\u03ba\u03bd\u03cc \u03ba\u03b1\u03b9 \u03b7 \u03c3\u03c0\u03b5\u03af\u03c1\u03b1 \u03c0\u03b9\u03bf \u03c3\u03c6\u03b9\u03c7\u03c4\u03ae. \u03a3\u03b5 \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u00ab\u03c3\u03c0\u03ac\u03b5\u03b9\u00bb \u03c3\u03b5 \u03ba\u03bb\u03ac\u03b4\u03bf\u03c5\u03c2. \u03a4\u03b1 \u03ba\u03bb\u03b1\u03b4\u03b9\u03ac \u03c0\u03b1\u03c7\u03b1\u03af\u03bd\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9 \u03ba\u03b1\u03b8\u03ce\u03c2 \u03cc\u03bb\u03bf \u03ba\u03b1\u03b9 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03b1\u03bc\u03bf\u03b9\u03b2\u03ac\u03b4\u03b5\u03c2 \u03c0\u03c1\u03bf\u03c3\u03c0\u03b1\u03b8\u03bf\u03cd\u03bd \u03bd\u03b1 \u03c6\u03c4\u03ac\u03c3\u03bf\u03c5\u03bd \u03c3\u03c4\u03bf \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf \u03c4\u03b7\u03c2 \u03c3\u03c0\u03b5\u03af\u03c1\u03b1\u03c2 \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03bf\u03c5\u03bd \u03ad\u03bd\u03b1 \u03c3\u03c9\u03c1\u03cc, \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc \u03c3\u03b1\u03bd \u00ab\u03b3\u03c5\u03bc\u03bd\u03bf\u03c3\u03ac\u03bb\u03b9\u03b1\u03b3\u03ba\u03b1\u00bb (\u03b4\u03b5\u03bd \u03ad\u03c7\u03b5\u03b9 \u03ba\u03b1\u03bc\u03b9\u03ac \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5 \u03c4\u03bf \u03bc\u03b1\u03bb\u03ac\u03ba\u03b9\u03bf \u03b3\u03c5\u03bc\u03bd\u03bf\u03c3\u03ac\u03bb\u03b9\u03b1\u03b3\u03ba\u03b1\u03c2).<\/p>\n<p>\u039f \u00ab\u03b3\u03c5\u03bc\u03bd\u03bf\u03c3\u03ac\u03bb\u03b9\u03b1\u03b3\u03ba\u03b1\u03c2\u00bb \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03c0\u03bf\u03b9\u03ba\u03af\u03b1 \u03b1\u03bc\u03bf\u03b9\u03b2\u03ac\u03b4\u03c9\u03bd, \u03b1\u03bb\u03bb\u03ac \u03ba\u03b9\u03bd\u03b5\u03af\u03c4\u03b1\u03b9 \u03c3\u03b1\u03bd 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