{"id":6770,"date":"2013-10-22T12:38:22","date_gmt":"2013-10-22T12:38:22","guid":{"rendered":"http:\/\/thalesandfriends.org\/?p=6770"},"modified":"2013-11-07T15:31:35","modified_gmt":"2013-11-07T15:31:35","slug":"m-c-escher-mathimatikos-xoris-na-to-xerei","status":"publish","type":"post","link":"https:\/\/thalesandfriends.org\/el\/2013\/10\/22\/m-c-escher-mathimatikos-xoris-na-to-xerei\/","title":{"rendered":"M.C. Escher: \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03c4\u03bf \u03be\u03ad\u03c1\u03b5\u03b9"},"content":{"rendered":"<p style=\"text-align: center;\"><strong>\u0397 \u03bf\u03bc\u03ac\u03b4\u03b1 \u0398\u0391\u039b\u0397\u03a3 + \u03a6\u0399\u039b\u039f\u0399 \u03c3\u03b1\u03c2 \u03c0\u03c1\u03bf\u03c3\u03ba\u03b1\u03bb\u03b5\u03af \u03c3\u03c4\u03b7 \u03b4\u03b9\u03ac\u03bb\u03b5\u03be\u03b7 \u03c4\u03bf\u03c5 \u03a4\u03b5\u03cd\u03ba\u03c1\u03bf\u03c5 \u039c\u03b9\u03c7\u03b1\u03b7\u03bb\u03af\u03b4\u03b7<\/strong><br \/>\n<strong> \u03c3\u03c4\u03bf \u039c\u03bf\u03c5\u03c3\u03b5\u03af\u03bf \u0397\u03c1\u03b1\u03ba\u03bb\u03b5\u03b9\u03b4\u03ce\u03bd<\/strong><\/p>\n<p style=\"text-align: justify;\">\u0397 \u03bf\u03bc\u03ac\u03b4\u03b1 \u0398\u0391\u039b\u0397\u03a3 + \u03a6\u0399\u039b\u039f\u0399 \u03b4\u03b9\u03bf\u03c1\u03b3\u03b1\u03bd\u03ce\u03bd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03b5\u03b9\u03c1\u03ac \u03b4\u03b9\u03b1\u03bb\u03ad\u03be\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03bf\u03bc\u03b9\u03bb\u03b9\u03ce\u03bd. \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af, \u03c6\u03c5\u03c3\u03b9\u03ba\u03bf\u03af, \u03b9\u03c3\u03c4\u03bf\u03c1\u03b9\u03ba\u03bf\u03af \u03c4\u03ad\u03c7\u03bd\u03b7\u03c2, \u03b5\u03b9\u03ba\u03b1\u03c3\u03c4\u03b9\u03ba\u03bf\u03af \u03ba\u03b1\u03b9 \u03c3\u03c5\u03b3\u03b3\u03c1\u03b1\u03c6\u03b5\u03af\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03b6\u03bf\u03c5\u03bd, \u03bc\u03b5 \u03b1\u03c0\u03c1\u03cc\u03b2\u03bb\u03b5\u03c0\u03c4\u03bf \u03c4\u03c1\u03cc\u03c0\u03bf, \u03c4\u03bf\u03c5\u03c2 \u03b4\u03b5\u03c3\u03bc\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 \u03c0\u03bf\u03b9\u03ba\u03af\u03bb\u03b5\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03c3\u03c5\u03bd\u03b4\u03ad\u03bf\u03c5\u03bd \u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03ba\u03b1\u03b9, \u03b3\u03b5\u03bd\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b1, \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b7 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03c4\u03ad\u03c7\u03bd\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b1\u03c6\u03ae\u03b3\u03b7\u03c3\u03b7.<\/p>\n<p style=\"text-align: center;\"><strong><a href=\"http:\/\/thalesandfriends.org\/el\/2013\/10\/22\/m-c-escher-mathimatikos-xoris-na-to-xerei\/escher\/\" rel=\"attachment wp-att-6771\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-6771\" alt=\"escher\" src=\"http:\/\/thalesandfriends.org\/wp-content\/uploads\/2013\/10\/escher.gif\" width=\"500\" height=\"500\" \/><\/a><\/strong><\/p>\n<p style=\"text-align: center;\"><strong>\u00abM.C. Escher: \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03c4\u03bf \u03be\u03ad\u03c1\u03b5\u03b9\u00bb<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>\u0397 \u03bf\u03bc\u03b9\u03bb\u03af\u03b1 \u03b8\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03a0\u03b1\u03c1\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae 8 \u039d\u03bf\u03b5\u03bc\u03b2\u03c1\u03af\u03bf\u03c5 \u03c3\u03c4\u03b9\u03c2 18.30<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>\u03c3\u03c4\u03bf \u039c\u03bf\u03c5\u03c3\u03b5\u03af\u03bf \u0397\u03c1\u03b1\u03ba\u03bb\u03b5\u03b9\u03b4\u03ce\u03bd<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>\u00a0<\/strong><\/p>\n<div id=\"attachment_6774\" style=\"width: 160px\" class=\"wp-caption alignleft\"><a href=\"http:\/\/thalesandfriends.org\/el\/2013\/10\/22\/m-c-escher-mathimatikos-xoris-na-to-xerei\/1-5\/\" rel=\"attachment wp-att-6774\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-6774\" class=\"size-thumbnail wp-image-6774\" alt=\"\u03a4\u03b5\u03cd\u03ba\u03c1\u03bf\u03c2 \u039c\u03b9\u03c7\u03b1\u03b7\u03bb\u03af\u03b4\u03b7\u03c2\" src=\"http:\/\/thalesandfriends.org\/wp-content\/uploads\/2013\/10\/1-150x150.jpg\" width=\"150\" height=\"150\" srcset=\"https:\/\/thalesandfriends.org\/wp-content\/uploads\/2013\/10\/1-150x150.jpg 150w, https:\/\/thalesandfriends.org\/wp-content\/uploads\/2013\/10\/1-300x300.jpg 300w, https:\/\/thalesandfriends.org\/wp-content\/uploads\/2013\/10\/1-75x75.jpg 75w, https:\/\/thalesandfriends.org\/wp-content\/uploads\/2013\/10\/1.jpg 601w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a><p id=\"caption-attachment-6774\" class=\"wp-caption-text\">\u03a4\u03b5\u03cd\u03ba\u03c1\u03bf\u03c2 \u039c\u03b9\u03c7\u03b1\u03b7\u03bb\u03af\u03b4\u03b7\u03c2<\/p><\/div>\n<p style=\"text-align: justify;\">O M.C. Escher \u03b8\u03b5\u03c9\u03c1\u03b5\u03af\u03c4\u03b1\u03b9, \u03b4\u03b9\u03ba\u03b1\u03af\u03c9\u03c2, \u03c9\u03c2 \u03bf \u03c7\u03b1\u03c1\u03ac\u03ba\u03c4\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03bf\u03b9 \u03b9\u03b4\u03ad\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03af\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03ad\u03c7\u03bf\u03c5\u03bd \u03c4\u03b7 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03c3\u03c5\u03bd\u03ac\u03c6\u03b5\u03b9\u03b1 \u03bc\u03b5 \u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac. \u03a9\u03c3\u03c4\u03cc\u03c3\u03bf, \u03bf \u03af\u03b4\u03b9\u03bf\u03c2 \u03b5\u03c0\u03b1\u03bd\u03b5\u03b9\u03bb\u03b7\u03bc\u03bc\u03ad\u03bd\u03b1 \u03b5\u03af\u03c7\u03b5 \u03b4\u03b7\u03bb\u03ce\u03c3\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03b4\u03b5\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b5 \u03c0\u03bf\u03c4\u03ad \u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac, \u03bf\u03cd\u03c4\u03b5 \u03c9\u03c2 \u03bc\u03b1\u03b8\u03b7\u03c4\u03ae\u03c2, \u03bf\u03cd\u03c4\u03b5 \u03b1\u03c1\u03b3\u03cc\u03c4\u03b5\u03c1\u03b1, \u03cc\u03c4\u03b1\u03bd \u03c3\u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03ad\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03c3\u03c5\u03b3\u03ba\u03b1\u03c4\u03b1\u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03bd \u03bc\u03b5\u03c1\u03b9\u03ba\u03bf\u03af \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03ba\u03bf\u03c1\u03c5\u03c6\u03b1\u03af\u03bf\u03c5\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c4\u03bf\u03c5 \u03b5\u03b9\u03ba\u03bf\u03c3\u03c4\u03bf\u03cd \u03b1\u03b9\u03ce\u03bd\u03b1. \u03a3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03af\u03b1\u03c3\u03ae \u03bc\u03bf\u03c5 \u03b8\u03b1 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03ae\u03c3\u03c9 \u03bd\u03b1 \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03cd\u03c3\u03c9 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7 \u00ab\u03bb\u03b1\u03bd\u03b8\u03ac\u03bd\u03bf\u03c5\u03c3\u03b1\u00bb \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03bf\u03c6\u03c5\u0390\u03b1 \u03c0\u03bf\u03c5 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03bf \u03ad\u03c1\u03b3\u03bf \u03c4\u03bf\u03c5 Escher \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03bc\u03b5\u03bb\u03b5\u03c4\u03ae\u03c3\u03c9 \u03c4\u03bf \u03ad\u03c1\u03b3\u03bf \u03c4\u03bf\u03c5 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03c3\u03ba\u03bf\u03c0\u03b9\u03ac \u03c4\u03bf\u03c5 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd. \u0397 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03af\u03b1\u03c3\u03b7 \u03b8\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03c3\u03c4\u03bf \u039c\u03bf\u03c5\u03c3\u03b5\u03af\u03bf \u0397\u03c1\u03b1\u03ba\u03bb\u03b5\u03b9\u03b4\u03ce\u03bd, \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03b1\u03af\u03b8\u03bf\u03c5\u03c3\u03b1 \u03cc\u03c0\u03bf\u03c5 \u03b8\u03b1 \u03b5\u03af\u03bc\u03b1\u03c3\u03c4\u03b5 \u03c4\u03c1\u03b9\u03b3\u03c5\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b1 \u03ad\u03c1\u03b3\u03b1 \u03c4\u03bf\u03c5 \u03ba\u03b1\u03bb\u03bb\u03b9\u03c4\u03ad\u03c7\u03bd\u03b7.<\/p>\n<p style=\"text-align: center;\"><strong>\u0397 \u03bf\u03bc\u03ac\u03b4\u03b1 \u0398\u0391\u039b\u0397\u03a3 + \u03a6\u0399\u039b\u039f\u0399<\/strong><\/p>\n<p style=\"text-align: justify;\">\u0395\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b7 \u03c0\u03b1\u03c1\u03ad\u03b1 \u03b5\u03b8\u03b5\u03bb\u03bf\u03bd\u03c4\u03ce\u03bd, \u03c0\u03bf\u03c5 \u03b5\u03bc\u03c0\u03bd\u03ad\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03b7 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03af\u03b1 \u03bb\u03b5\u03c3\u03c7\u03ce\u03bd \u03b1\u03bd\u03ac\u03b3\u03bd\u03c9\u03c3\u03b7\u03c2, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03c9\u03bd \u03b4\u03c1\u03b1\u03c3\u03c4\u03b7\u03c1\u03b9\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ac\u03b3\u03bf\u03c5\u03bd \u03c4\u03bf \u03c3\u03c4\u03bf\u03c7\u03b1\u03c3\u03bc\u03cc, \u03c4\u03b7 \u03b3\u03bd\u03ce\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03bf \u03b4\u03b9\u03ac\u03bb\u03bf\u03b3\u03bf. \u0397 \u03b3\u03cc\u03bd\u03b9\u03bc\u03b7 \u03c0\u03bf\u03c1\u03b5\u03af\u03b1 \u03c4\u03b7\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b1\u03c2 \u03b1\u03bd\u03b1\u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b9\u03c2 \u03b5\u03ba\u03b4\u03b7\u03bb\u03ce\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03b4\u03b9\u03bf\u03c1\u03b3\u03b1\u03bd\u03ce\u03bd\u03b5\u03b9, \u03cc\u03c0\u03c9\u03c2 \u03ae\u03c4\u03b1\u03bd \u03c4\u03b1 \u03c0\u03b5\u03c1\u03af\u03c6\u03b7\u03bc\u03b1 \u03c3\u03c5\u03bd\u03ad\u03b4\u03c1\u03b9\u03b1 \u03bc\u03b5 \u03b4\u03b9\u03b5\u03b8\u03bd\u03ae \u03b1\u03c0\u03ae\u03c7\u03b7\u03c3\u03b7 \u03c4\u03b1 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b4\u03b9\u03b5\u03c1\u03b5\u03c5\u03bd\u03bf\u03cd\u03c3\u03b1\u03bd \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03c4\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03c6\u03ae\u03b3\u03b7\u03c3\u03b7 (\u039c\u03cd\u03ba\u03bf\u03bd\u03bf\u03c2 2005, \u0394\u03b5\u03bb\u03c6\u03bf\u03af 2007), \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03b7 \u03ad\u03bd\u03c4\u03bf\u03bd\u03b7 \u03b4\u03c1\u03b1\u03c3\u03c4\u03b7\u03c1\u03b9\u03cc\u03c4\u03b7\u03c4\u03ac \u03c4\u03b7\u03c2, \u03bc\u03b5 \u03b4\u03b9\u03b1\u03bb\u03ad\u03be\u03b5\u03b9\u03c2, \u03c3\u03b5\u03bc\u03b9\u03bd\u03ac\u03c1\u03b9\u03b1, \u03c3\u03c5\u03bd\u03b1\u03bd\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2, \u03b5\u03c1\u03b3\u03b1\u03c3\u03c4\u03ae\u03c1\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c0\u03b1\u03bd\u03b7\u03b3\u03cd\u03c1\u03b9\u03b1.<\/p>\n<p><strong>\u03a4\u03cc\u03c0\u03bf\u03c2 \u03c3\u03c5\u03bd\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7\u03c2: \u039c\u03bf\u03c5\u03c3\u03b5\u03af\u03bf \u0397\u03c1\u03b1\u03ba\u03bb\u03b5\u03b9\u03b4\u03ce\u03bd (\u0397\u03c1\u03b1\u03ba\u03bb\u03b5\u03b9\u03b4\u03ce\u03bd 16, \u0398\u03b7\u03c3\u03b5\u03af\u03bf)<\/strong><br \/>\n<strong> <\/strong><\/p>\n<p><strong>\u038f\u03c1\u03b1 \u03ad\u03bd\u03b1\u03c1\u03be\u03b7\u03c2: 18.30<\/strong><br \/>\n<strong> <\/strong><\/p>\n<p><strong>\u0395\u03af\u03c3\u03bf\u03b4\u03bf\u03c2 \u03b5\u03bb\u03b5\u03cd\u03b8\u03b5\u03c1\u03b7<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0397 \u03bf\u03bc\u03ac\u03b4\u03b1 \u0398\u0391\u039b\u0397\u03a3 + \u03a6\u0399\u039b\u039f\u0399 \u03c3\u03b1\u03c2 \u03c0\u03c1\u03bf\u03c3\u03ba\u03b1\u03bb\u03b5\u03af \u03c3\u03c4\u03b7 \u03b4\u03b9\u03ac\u03bb\u03b5\u03be\u03b7 \u03c4\u03bf\u03c5 \u03a4\u03b5\u03cd\u03ba\u03c1\u03bf\u03c5 \u039c\u03b9\u03c7\u03b1\u03b7\u03bb\u03af\u03b4\u03b7 \u03c3\u03c4\u03bf \u039c\u03bf\u03c5\u03c3\u03b5\u03af\u03bf \u0397\u03c1\u03b1\u03ba\u03bb\u03b5\u03b9\u03b4\u03ce\u03bd \u0397 \u03bf\u03bc\u03ac\u03b4\u03b1 \u0398\u0391\u039b\u0397\u03a3 + \u03a6\u0399\u039b\u039f\u0399 \u03b4\u03b9\u03bf\u03c1\u03b3\u03b1\u03bd\u03ce\u03bd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03b5\u03b9\u03c1\u03ac \u03b4\u03b9\u03b1\u03bb\u03ad\u03be\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03bf\u03bc\u03b9\u03bb\u03b9\u03ce\u03bd. \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af, \u03c6\u03c5\u03c3\u03b9\u03ba\u03bf\u03af, \u03b9\u03c3\u03c4\u03bf\u03c1\u03b9\u03ba\u03bf\u03af \u03c4\u03ad\u03c7\u03bd\u03b7\u03c2, 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