{"id":77,"date":"2021-11-30T21:04:37","date_gmt":"2021-11-30T19:04:37","guid":{"rendered":"http:\/\/schoolpress.sch.gr\/efimath11\/?p=77"},"modified":"2021-11-30T21:04:37","modified_gmt":"2021-11-30T19:04:37","slug":"%ce%b1%cf%82-%ce%b3%ce%bd%cf%89%cf%81%ce%af%cf%83%ce%bf%cf%85%ce%bc%ce%b5-%cf%84%ce%b1-fractals","status":"publish","type":"post","link":"https:\/\/schoolpress.sch.gr\/efimath11\/archives\/77","title":{"rendered":"\u0391\u03c2 \u03b3\u03bd\u03c9\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b1 fractals!"},"content":{"rendered":"<p><a href=\"https:\/\/schoolpress.sch.gr\/efimath11\/files\/2021\/11\/5.jpeg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-75\" alt=\"5\" src=\"https:\/\/schoolpress.sch.gr\/efimath11\/files\/2021\/11\/5.jpeg\" width=\"259\" height=\"194\" srcset=\"https:\/\/schoolpress.sch.gr\/efimath11\/files\/2021\/11\/5.jpeg 259w, https:\/\/schoolpress.sch.gr\/efimath11\/files\/2021\/11\/5-80x60.jpeg 80w\" sizes=\"auto, 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\u03bc\u03b5\u03b3\u03ad\u03b8\u03c5\u03bd\u03c3\u03b7\u03c2.<\/p>\n<p>\u03a6\u03c1\u03ac\u03ba\u03c4\u03b1\u03bb \u03b1\u03c0\u03b1\u03bd\u03c4\u03ce\u03bd\u03c4\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03c6\u03cd\u03c3\u03b7, \u03c7\u03c9\u03c1\u03af\u03c2 \u03cc\u03bc\u03c9\u03c2 \u03bd\u03b1 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03ac\u03c0\u03b5\u03b9\u03c1\u03b7 \u03bb\u03b5\u03c0\u03c4\u03bf\u03bc\u03ad\u03c1\u03b5\u03b9\u03b1 \u03c3\u03c4\u03b7 \u03bc\u03b5\u03b3\u03ad\u03b8\u03c5\u03bd\u03c3\u03b7 \u03cc\u03c0\u03c9\u03c2 \u03c3\u03c4\u03b1 \u03c6\u03c1\u03ac\u03ba\u03c4\u03b1\u03bb \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03bf\u03c5\u03bd \u03b1\u03c0\u03cc \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b5\u03b9\u03c2. \u03a9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1 \u03c6\u03c1\u03ac\u03ba\u03c4\u03b1\u03bb \u03c3\u03c4\u03b7 \u03c6\u03cd\u03c3\u03b7, \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c3\u03c7\u03ad\u03b4\u03b9\u03bf \u03c4\u03c9\u03bd \u03bd\u03b9\u03c6\u03ac\u03b4\u03c9\u03bd \u03c4\u03bf\u03c5 \u03c7\u03b9\u03bf\u03bd\u03b9\u03bf\u03cd, \u03c4\u03b1 \u03c6\u03cd\u03bb\u03bb\u03b1 \u03c4\u03c9\u03bd \u03c6\u03c5\u03c4\u03ce\u03bd \u03ae \u03bf\u03b9 \u03b4\u03b9\u03b1\u03ba\u03bb\u03b1\u03b4\u03ce\u03c3\u03b5\u03b9\u03c2 \u03c4\u03c9\u03bd \u03b1\u03b9\u03bc\u03bf\u03c6\u03cc\u03c1\u03c9\u03bd \u03b1\u03b3\u03b3\u03b5\u03af\u03c9\u03bd.<\/p>\n<p>\u039f \u03cc\u03c1\u03bf\u03c2 \u03c0\u03c1\u03bf\u03c4\u03ac\u03b8\u03b7\u03ba\u03b5 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u039c\u03c0\u03b5\u03bd\u03bf\u03c5\u03ac \u039c\u03ac\u03bd\u03c4\u03b5\u03bb\u03bc\u03c0\u03c1\u03bf\u03c4 (Beno\u00eet Mandelbrot) \u03c4\u03bf 1975 \u03ba\u03b1\u03b9 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03bb\u03b1\u03c4\u03b9\u03bd\u03b9\u03ba\u03ae \u03bb\u03ad\u03be\u03b7 fractus, \u03c0\u03bf\u03c5 \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 &#8220;\u03c3\u03c0\u03b1\u03c3\u03bc\u03ad\u03bd\u03bf\u03c2&#8221;, &#8220;\u03ba\u03b1\u03c4\u03b1\u03ba\u03b5\u03c1\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03c2&#8221;.<\/p>\n<p>&nbsp;<\/p>\n<p>\u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1<\/p>\n<p>\u0393\u03b9\u03b1 \u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b1 \u03c4\u03b7\u03bd \u03b1\u03bd\u03b1\u03b3\u03ba\u03b1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae\u03c2 \u03c4\u03c9\u03bd \u03c6\u03c1\u03ac\u03ba\u03c4\u03b1\u03bb \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03b5\u03be\u03ae\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1:<\/p>\n<p>\u0397 \u03c0\u03b5\u03c1\u03af\u03bc\u03b5\u03c4\u03c1\u03bf\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03bd\u03b7\u03c3\u03b9\u03bf\u03cd \u03b5\u03bd\u03bd\u03bf\u03b5\u03af\u03c4\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b7. \u03a9\u03c3\u03c4\u03cc\u03c3\u03bf, \u03b1\u03bd \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03bc\u03ad\u03c4\u03c1\u03bf\u03c5 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c4\u03b7\u03bd \u03bc\u03b5\u03c4\u03c1\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5, \u03b8\u03b1 \u03c4\u03b7\u03bd \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b7 \u03b1\u03c0\u03cc \u03cc\u03c4\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b5\u03af\u03bd\u03b1\u03b9 \u03b3\u03b9\u03b1\u03c4\u03af \u03b4\u03b5\u03bd \u03b8\u03b1 \u03bc\u03c0\u03bf\u03c1\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03c1\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03ba\u03bf\u03b9\u03bb\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03b5\u03bd\u03cc\u03c2 \u03bc\u03ad\u03c4\u03c1\u03bf\u03c5. \u0391\u03bd \u03bc\u03b5\u03c4\u03c1\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b5 \u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03b5\u03ba\u03b1\u03c4\u03bf\u03c3\u03c4\u03bf\u03cd, \u03c0\u03ac\u03bb\u03b9 \u03b8\u03b1 \u03c7\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03ba\u03bf\u03b9\u03bb\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2. \u0388\u03c4\u03c3\u03b9 \u03ba\u03b1\u03c4\u03b1\u03bb\u03ae\u03b3\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b5 \u03b1\u03c0\u03b5\u03b9\u03c1\u03bf\u03c3\u03c4\u03ac \u03bc\u03b9\u03ba\u03c1\u03ae \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1 \u03bc\u03ad\u03c4\u03c1\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03c0\u03b5\u03c1\u03af\u03bc\u03b5\u03c4\u03c1\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03bd\u03b7\u03c3\u03b9\u03bf\u03cd \u03b8\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03ac\u03c0\u03b5\u03b9\u03c1\u03b7. \u0397 \u03b5\u03c0\u03b9\u03c6\u03ac\u03bd\u03b5\u03b9\u03b1 \u03cc\u03bc\u03c9\u03c2 \u03c4\u03bf\u03c5 \u03bd\u03b7\u03c3\u03b9\u03bf\u03cd, \u03b7 \u03ad\u03ba\u03c4\u03b1\u03c3\u03ae \u03c4\u03bf\u03c5 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae, \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b7. \u03a4\u03bf \u03c0\u03b1\u03c1\u03ac\u03b4\u03bf\u03be\u03bf \u03b1\u03c5\u03c4\u03cc, \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03b7 \u0395\u03c5\u03ba\u03bb\u03b5\u03af\u03b4\u03b5\u03b9\u03b1 \u0393\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 \u03b1\u03b4\u03c5\u03bd\u03b1\u03c4\u03b5\u03af \u03bd\u03b1 \u03b5\u03be\u03b7\u03b3\u03ae\u03c3\u03b5\u03b9, \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03c9\u03c0\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b1 \u03c6\u03c1\u03ac\u03ba\u03c4\u03b1\u03bb.<\/p>\n","protected":false},"excerpt":{"rendered":"<div class=\"mh-excerpt\"><p>\u039c\u03b5 \u03c4\u03bf\u03bd \u03b4\u03b9\u03b5\u03b8\u03bd\u03ae \u03cc\u03c1\u03bf \u03c6\u03c1\u03ac\u03ba\u03c4\u03b1\u03bb (fractal, \u03b5\u03bb\u03bb. \u03bc\u03bf\u03c1\u03c6\u03cc\u03ba\u03bb\u03b1\u03c3\u03bc\u03b1 \u03ae \u03bc\u03bf\u03c1\u03c6\u03bf\u03ba\u03bb\u03b1\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf) \u03c3\u03c4\u03b1 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac, \u03c4\u03b7 \u03a6\u03c5\u03c3\u03b9\u03ba\u03ae \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03c3\u03b5 \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b5\u03c2 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03cc \u03c3\u03c7\u03ae\u03bc\u03b1 \u03c0\u03bf\u03c5 <a class=\"mh-excerpt-more\" href=\"https:\/\/schoolpress.sch.gr\/efimath11\/archives\/77\" title=\"\u0391\u03c2 \u03b3\u03bd\u03c9\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b1 fractals!\">&#8230;.<\/a><\/p>\n<\/div>","protected":false},"author":14089,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"series":[14],"class_list":["post-77","post","type-post","status-publish","format-standard","hentry","category-various","series-2-"],"_links":{"self":[{"href":"https:\/\/schoolpress.sch.gr\/efimath11\/wp-json\/wp\/v2\/posts\/77","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schoolpress.sch.gr\/efimath11\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schoolpress.sch.gr\/efimath11\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schoolpress.sch.gr\/efimath11\/wp-json\/wp\/v2\/users\/14089"}],"replies":[{"embeddable":true,"href":"https:\/\/schoolpress.sch.gr\/efimath11\/wp-json\/wp\/v2\/comments?post=77"}],"version-history":[{"count":0,"href":"https:\/\/schoolpress.sch.gr\/efimath11\/wp-json\/wp\/v2\/posts\/77\/revisions"}],"wp:attachment":[{"href":"https:\/\/schoolpress.sch.gr\/efimath11\/wp-json\/wp\/v2\/media?parent=77"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schoolpress.sch.gr\/efimath11\/wp-json\/wp\/v2\/categories?post=77"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schoolpress.sch.gr\/efimath11\/wp-json\/wp\/v2\/tags?post=77"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/schoolpress.sch.gr\/efimath11\/wp-json\/wp\/v2\/series?post=77"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}