{"id":1773,"date":"2021-01-16T19:42:50","date_gmt":"2021-01-16T17:42:50","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=1773"},"modified":"2021-04-19T10:27:15","modified_gmt":"2021-04-19T07:27:15","slug":"%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-%d1%84%d1%80%d0%b0%d0%ba%d1%82%d0%b0%d0%bb%d1%8c%d0%bd%d0%be%d1%97-%d1%81%d1%82%d1%80%d1%83%d0%ba%d1%82%d1%83%d1%80%d0%b8","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=1773","title":{"rendered":"\u0417\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0444\u0440\u0430\u043a\u0442\u0430\u043b\u044c\u043d\u043e\u0457 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0438 \u0432 \u043e\u0440\u043d\u0430\u043c\u0435\u043d\u0442\u0430\u0445 \u0443\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u043e\u0457 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0457 \u0432\u0438\u0448\u0438\u0432\u043a\u0438"},"content":{"rendered":"<p style=\"text-align: center;\">\u0417\u0410\u0421\u0422\u041e\u0421\u0423\u0412\u0410\u041d\u041d\u042f \u0424\u0420\u0410\u041a\u0422\u0410\u041b\u042c\u041d\u041e\u0407 \u0421\u0422\u0420\u0423\u041a\u0422\u0423\u0420\u0418 \u0412 \u041e\u0420\u041d\u0410\u041c\u0415\u041d\u0422\u0410\u0425 \u0423\u041a\u0420\u0410\u0407\u041d\u0421\u042c\u041a\u041e\u0407 \u041d\u0410\u0426\u0406\u041e\u041d\u0410\u041b\u042c\u041d\u041e\u0407 \u0412\u0418\u0428\u0418\u0412\u041a\u0418<\/p>\n<p style=\"text-align: center;\">APPLICATION OF THE FRACTAL STRUCTURE IN THE ORNAMENTS OF UKRAINIAN NATIONAL EMBROIDERY<\/p>\n<p><a href=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2021\/01\/11-8.pdf\"><img src=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2021\/01\/pdf.png\" \/><\/a> <strong>\u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 57-63. \u041d\u043e\u043c\u0435\u0440: \u21165, 2019 (277)<\/strong><br \/>\n<strong>\u0410\u0432\u0442\u043e\u0440\u0438: <\/strong><br \/>\n\u0410.\u041b. \u0421\u041b\u0410\u0412\u0406\u041d\u0421\u042c\u041a\u0410 \u041e.\u041f. \u0421\u0418\u0420\u041e\u0422\u0415\u041d\u041a\u041e<br \/>\n\u0425\u043c\u0435\u043b\u044c\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442<br \/>\nA.L. SLAVINSKA, O.P. SYROTENKO<br \/>\nKhmelnytskyi National University<br \/>\n<strong>DOI:<\/strong> <a href=\"https:\/\/www.doi.org\/10.31891\/2307-5732-2019-277-5-57-63\">https:\/\/www.doi.org\/10.31891\/2307-5732-2019-277-5-57-63<\/a><br \/>\n<strong>\u0420\u0435\u0446\u0435\u043d\u0437\u0456\u044f\/Peer review :<\/strong> 11.06.2019 \u0440.<br \/>\n<strong>\u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430\/Printed :<\/strong> 23.07.2019 \u0440.<\/p>\n<p style=\"text-align: center;\"><strong>\u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443<\/strong><\/p>\n<p>\u0417\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f \u0432\u0438\u0448\u0438\u0432\u043a\u0438 \u044f\u043a \u043f\u043b\u043e\u0441\u043a\u043e\u0433\u043e \u0432\u0438\u0434\u0443 \u043e\u0437\u0434\u043e\u0431\u043b\u0435\u043d\u043d\u044f \u0491\u0440\u0443\u043d\u0442\u0443\u0454\u0442\u044c\u0441\u044f \u043d\u0430 \u043f\u043e\u0432\u0442\u043e\u0440\u0456 \u043e\u0434\u043d\u0430\u043a\u043e\u0432\u0438\u0445 \u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0456\u0432 \u043e\u0440\u043d\u0430\u043c\u0435\u043d\u0442\u0443 \u0432 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043d\u043e\u043c\u0443 \u0437\u0430\u0431\u0435\u0437\u043f\u0435\u0447\u0435\u043d\u043d\u0456 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0457 \u0432\u0438\u0448\u0438\u0432\u0430\u043d\u043d\u044f. \u0414\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u043e \u043f\u0440\u043e\u0446\u0435\u0441 \u043c\u0430\u0441\u0448\u0442\u0430\u0431\u043d\u043e\u0457 \u0456\u043d\u0432\u0430\u0440\u0456\u0430\u043d\u0442\u043d\u043e\u0441\u0442\u0456 \u0444\u0440\u0430\u043a\u0442\u0430\u043b\u0456\u0432 \u0442\u0438\u043f\u043e\u0432\u043e\u0457 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u043d\u043e\u0457 \u043e\u0440\u0433\u0430\u043d\u0456\u0437\u0430\u0446\u0456\u0457 \u0445\u0440\u0435\u0441\u0442\u0456\u0432 \u0432 \u0440\u043e\u0441\u043b\u0438\u043d\u043d\u0438\u0445 \u0456 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0438\u0445 \u043e\u0440\u043d\u0430\u043c\u0435\u043d\u0442\u0430\u0445 \u0430\u0432\u0442\u0435\u043d\u0442\u0438\u0447\u043d\u043e\u0457 \u0443\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u043e\u0457 \u0432\u0438\u0448\u0438\u0432\u043a\u0438.<br \/>\n<strong>\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong> \u0441\u0430\u043c\u043e\u043f\u043e\u0434\u0456\u0431\u043d\u0456\u0441\u0442\u044c \u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0456\u0432 \u043e\u0440\u043d\u0430\u043c\u0435\u043d\u0442\u0443, \u0444\u0440\u0430\u043a\u0442\u0430\u043b, \u043c\u0430\u0441\u0448\u0442\u0430\u0431\u043d\u0430 \u0456\u043d\u0432\u0430\u0440\u0456\u0430\u043d\u0442\u043d\u0456\u0441\u0442\u044c, \u0430\u043b\u0444\u0430\u0432\u0456\u0442, \u0430\u0432\u0442\u0435\u043d\u0442\u0438\u0447\u043d\u0438\u0439 \u043e\u0440\u043d\u0430\u043c\u0435\u043d\u0442, \u043f\u0430\u0442\u0435\u0440\u043d, \u0433\u0435\u043d\u0435\u0440\u0430\u0446\u0456\u044f\u00a0 \u043c\u0443\u043b\u044c\u0442\u0438\u0444\u0440\u0430\u043a\u0442\u0430\u043b\u0443, \u0440\u043e\u0437\u043c\u0456\u0440\u043d\u0456\u0441\u0442\u044c, \u0441\u0438\u043d\u0442\u0435\u0437, \u0445\u0443\u0434\u043e\u0436\u043d\u0454 \u043f\u043e\u043b\u0435 \u00ab\u041e\u043a\u0441\u0438\u0441\u00bb.<\/p>\n<p style=\"text-align: center;\"><strong>\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n<p>The use of embroidery as a flat type of decoration is based on repeating the same elements of the ornament in software embroidery technology. The process of large-scale invariance of fractals of a typical structural organization of crosses in plant and geometric ornaments of authentic Ukrainian embroidery is researched. Fractal box of the alphabet of base ornament units for generation of multifractals was used. A number of ideas of ornaments of Ukrainian embroidery was formed with the help of the art field &#8220;Oksis&#8221;. The hierarchical approach of synthesis in transitions from one group of fractals to another is proposed\u00a0 maintaining the unity of compositional construction of plant and geometric ornamentation.<br \/>\n<strong>Key words:<\/strong> self-similarity of elements of ornament, fractal, scale invariance, alphabet, authentic ornament, pattern, generation of multifractals, dimension, synthesis, artistic field of &#8220;Oksis&#8221;.<\/p>\n<p style=\"text-align: center;\"><strong>References<\/strong><\/p>\n<ol>\n<li>Mandelbrot B. Fraktalnaya geometriya prirody \/ B. Mandelbrot. \u2013 M., Izhevsk : IIKI, NIC \u00abRHD\u00bb, 2010.\u2013 656 s.<\/li>\n<li>Hazewinkel M. Encyclopedia of Mathematics, Springer. Accessed May 25, 2007.<\/li>\n<li>Ponyatie fraktal [Elektronnyj resurs]. \u2013 Rezhim dostupa : http:\/\/fractbifur.narod.ru\/html\/index1.html<\/li>\n<li>Ametov A. Kompyuternaya grafika. Fraktal Visseka [Elektronnyj resurs]. \u2013 Rezhim dostupa : http:\/\/grafika.me\/node\/708. \u2013 28. 05. 2017.<\/li>\n<li>Ronald L. Graham, Jeffrey C. Lagarias, Colin M. Mallows, Alan R. Wilks, and Catherine H. Yan. Apollonian Circle Packings: Number Theory. J. Number Theory, 100 (2003), 1\u201345.<\/li>\n<li>O&#8217;Connor J. J., Robertson E. F. A History of Fractal Geometry. MacTutor History of Mathematics archive. School of Mathematics and Statistics, University of St Andrews, Scotland (01, 2009).<\/li>\n<li>Kompyuternaya grafika. Uroki, algoritmy, programmy, primery [Elektronnyj resurs]. \u2013 Rezhim dostupa : http:\/\/grafika.me\/fractals.<\/li>\n<li>Vicsek, Tamas (2001). Fluctuations and scaling in biology. Oxford [Oxfordshire]: Oxford University Press.<\/li>\n<li>Nikolaeva E. V. Fraktaly v dizajnerskih kollekciyah i sociokulturnyh praktikah mody \/ E. V. Nikolaeva \/\/ Dizajn i tehnologii. \u2013 2013. \u2013 \u2116 35 (77). \u2013 S. 105\u2013112.<\/li>\n<li>Dmytryshyn T. V. Osoblyvosti vizualizatsii fraktalnykh struktur dlia pidvyshchennia estetychnoho rivnia modelei odiahu \/ T. V. Dmytryshyn, S. H. Kuleshova \/\/ Materialy mizhnarodnoi naukovo-praktychnoi konferentsii zdobuvachiv vyshchoi osvity i molodykh uchenykh \u00abMolod \u2013 nautsi i vyrobnytstvu \u2013 2018: Innovatsiini tekhnolohii lehkoi promyslovosti\u00bb (Kherson, 17-18 travnia 2018 r.). \u2013 Kherson : KhNTU, 2018. \u2013 S. 194\u2013196.<\/li>\n<li>Kuleshova S. G. Application of the fractal graphycs as an innovative technology in clothing design \/ S. G. Kuleshova, T. V. Dmytryshyn, O. E. Glovatskaya \/\/ Textiles, clothing, leather and technology. \u2013 2019. \u2013 Vol. 2. \u2013 P. 13\u201316. \u2013 URL : https:\/\/tok-bg.org\/archive-2019\/number-of-2-2019\/.<\/li>\n<li>Kuleshova S.H. Peredumovy zastosuvannia fraktalnoi hrafiky dlia strukturnoho analizu suchasnoho kostiuma \/ S.H. Kuleshova \/\/ Herald of Khmelnytskyi National University. \u2013 2015. \u2013 \u2116 2. \u2013 S. 55\u201361.<\/li>\n<li>Bozhokin S. V. Fraktaly i multifraktaly \/ Bozhokin S. V., Parshin D. A. \u2013 Izhevsk : \u00abRHD\u00bb, 2001. \u2013 S. 128.<\/li>\n<li>Hudozhestvennoe pole. Kollekciya \u00abgeometriya\u00bb [Elektronnyj resurs]. \u2013 Rezhim dostupa : https:\/\/cork.house\/khudozhestvennye-poly-ot-cork-house\/khudozhestvennye-poly-print\/khudozhestvennye-poly-kollektsiya-geometriya?tmpl=component.<\/li>\n<li>Mavrikidi F. I. Fraktaly: postigaya vzaimosvyazannyj mir [Elektronnyj resurs]\/ F. I. Mavrikidi \/\/ Delfis. \u2013 2000. \u2013 \u2116 23(3). \u2013 Rezhim dostupa : http:\/\/www.delphis.ru\/journal\/article\/fraktaly-postigaya-vzaimosvyazannyi-mir.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u0417\u0410\u0421\u0422\u041e\u0421\u0423\u0412\u0410\u041d\u041d\u042f \u0424\u0420\u0410\u041a\u0422\u0410\u041b\u042c\u041d\u041e\u0407 \u0421\u0422\u0420\u0423\u041a\u0422\u0423\u0420\u0418 \u0412 \u041e\u0420\u041d\u0410\u041c\u0415\u041d\u0422\u0410\u0425 \u0423\u041a\u0420\u0410\u0407\u041d\u0421\u042c\u041a\u041e\u0407 \u041d\u0410\u0426\u0406\u041e\u041d\u0410\u041b\u042c\u041d\u041e\u0407 \u0412\u0418\u0428\u0418\u0412\u041a\u0418 APPLICATION OF THE FRACTAL STRUCTURE IN THE ORNAMENTS OF UKRAINIAN NATIONAL EMBROIDERY \u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 57-63. \u041d\u043e\u043c\u0435\u0440: \u21165, 2019 (277) \u0410\u0432\u0442\u043e\u0440\u0438: \u0410.\u041b. \u0421\u041b\u0410\u0412\u0406\u041d\u0421\u042c\u041a\u0410 \u041e.\u041f. \u0421\u0418\u0420\u041e\u0422\u0415\u041d\u041a\u041e \u0425\u043c\u0435\u043b\u044c\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 A.L. SLAVINSKA, O.P. SYROTENKO Khmelnytskyi National University DOI: https:\/\/www.doi.org\/10.31891\/2307-5732-2019-277-5-57-63 \u0420\u0435\u0446\u0435\u043d\u0437\u0456\u044f\/Peer review : 11.06.2019 \u0440. \u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430\/Printed : 23.07.2019 \u0440. \u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[18],"tags":[],"_links":{"self":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1773"}],"collection":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1773"}],"version-history":[{"count":2,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1773\/revisions"}],"predecessor-version":[{"id":5855,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1773\/revisions\/5855"}],"wp:attachment":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1773"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1773"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1773"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}