{"id":8036,"date":"2024-05-27T14:05:53","date_gmt":"2024-05-27T14:05:53","guid":{"rendered":"https:\/\/mokslosriuba.lt\/kartumesgalime\/?p=8036"},"modified":"2024-05-27T16:48:35","modified_gmt":"2024-05-27T16:48:35","slug":"ka-turi-bendro-galaktikos-ir-mona-lisa-sedevras","status":"publish","type":"post","link":"https:\/\/mokslosriuba.lt\/kartumesgalime\/2024\/05\/27\/ka-turi-bendro-galaktikos-ir-mona-lisa-sedevras\/","title":{"rendered":"K\u0105 turi bendro Galaktikos ir Mona Lisa \u0161edevras"},"content":{"rendered":"\n<p>Kvie\u010diame skaityti \u0161e\u0161t\u0105j\u012f konkurso darb\u0105! \u0160is darbas var\u017eosi mokini\u0173 kategorijoje. <br>Daugiau apie \u0161\u012f mokslo populiarinimo konkurs\u0105 skaitykite\u00a0<a href=\"https:\/\/mokslosriuba.lt\/kartumesgalime\/2024\/03\/25\/mokslo-populiarinimo-konkursas-2024\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u010cIA<\/a>.<\/p>\n\n\n\n<p class=\"has-text-align-right\"><em>Matas Joris Normantas<\/em><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.konstanta.lt\/wp-content\/uploads\/2024\/05\/6_0.jpg\" alt=\"\" class=\"wp-image-6533\"\/><\/figure>\n<\/div>\n\n\n<p>K\u0105 turi bendro Galaktikos ir Mona Lisa \u0161edevras? Atrodyt\u0173 niekuom nesusij\u0119 dalykai, bet turi labai \u012fdom\u0173 ir daug kur matematikoje, gamtoje, architekt\u016broje ir mene pastebim\u0105 dalyk\u0105 \u2013 Aukso pj\u016bv\u012f arba kitaip vadinam\u0105 Dievi\u0161k\u0105ja proporcija.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.konstanta.lt\/wp-content\/uploads\/2024\/05\/6_0_1-1024x923.jpg\" alt=\"\" class=\"wp-image-6534\"\/><\/figure>\n<\/div>\n\n\n<p>Dievi\u0161koji proporcija buvo \u017einoma ir tyrin\u0117jama jau senov\u0117s graik\u0173 matematik\u0173 ir da\u017enai pastebima geometrijoje. Senov\u0117s graik\u0173 matematikas Euklidas (apie 325\u2013265 m. pr. m. e.) savo veikale ,,Pradmenys\u201d pirmasis glaustai apra\u0161\u0117 Aukso pj\u016bv\u012f (nors ir tada taip nebuvo \u0161i proporcija vadinama). V\u0117liau L. Pa\u010diolis (1447\u20131517): Ital\u0173 matematikas ir vienuolis savo darbe \u201eDievi\u0161koji proporcija\u201c (1509 m.) pla\u010diau apra\u0161\u0117 auksin\u012f pj\u016bv\u012f ir jo taikym\u0105 mene ir architekt\u016broje. Pa\u010dioliaus darb\u0105 iliustravo garsusis Leonardo da Vin\u010di, kuris savo pie\u0161iniuose ir k\u016briniuose da\u017enai pritaikydavo \u0161i\u0105 proporcij\u0105. \u0160imtme\u010diais did\u017eiausi protai tyrin\u0117jo Aukso pj\u016bv\u012f ir jo savybes.<\/p>\n\n\n\n<p>Ta\u010diau kas tai yra ir kuom ji ypatinga?<br>Dievi\u0161koji proporcija (Aukso pj\u016bvis) remiasi Fibona\u010dio skai\u010di\u0173 seka.<\/p>\n\n\n\n<p>0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377 \u2026.<\/p>\n\n\n\n<p>Fibona\u010dio skai\u010di\u0173 seka susideda i\u0161 skai\u010di\u0173, kuri\u0173 kiekvienas yra prie\u0161 j\u012f einan\u010di\u0173 dviej\u0173 skai\u010di\u0173 suma., pvz; 0+1=1, 1+1=2, 1+2=3, 2+3=5, 3+5=8, 5+8=13, 8+13=21, 13+21=34 \u2026.<br>Taigi aukso pj\u016bvis yra dalyba \u2013 santykis kurio reik\u0161m\u0117 visada pana\u0161iai lygi vadinamam Fi skai\u010diui 1,618., ir tai yra dviej\u0173 gretim\u0173 Fibona\u010dio sekos skai\u010di\u0173 santykis.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/www.konstanta.lt\/wp-content\/uploads\/2024\/05\/6_1.png\" alt=\"\" class=\"wp-image-6535\" style=\"width:242px;height:auto\"\/><\/figure>\n<\/div>\n\n\n<p>Pvz., 8\/5=1,6 13\/8=1,625 21\/13=1,6154 34\/21=1,619 \u2026\u2026<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.konstanta.lt\/wp-content\/uploads\/2024\/05\/6_2.png\" alt=\"\" class=\"wp-image-6536\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.konstanta.lt\/wp-content\/uploads\/2024\/05\/6_3.png\" alt=\"\" class=\"wp-image-6537\"\/><\/figure>\n<\/div>\n\n\n<p>Taigi Mona Lisos paveiksle yra matoma Auksinio santykio diagrama. M\u0117lynojo trikampio kojel\u0117s parodytos teisingai i\u0161d\u0117stytos apatiniuose kampuose, o smail\u0117 padalija paveikslo plot\u012f vir\u0161uje. Dabar taikoma ta Auksinio santykio diagrama. Jis priglud\u0119s prie kairiojo stulpelio kra\u0161to ir, eidamas per jos galvos vir\u0161\u0173, tiksliai atitinka trikampio koj\u0105. Taip pat spiral\u0117 gra\u017eiai \u012fr\u0117mina jos veid\u0105. Be to, spiral\u0117 vingiuoja nuo jos nosies, apgl\u0117bdama smakro apa\u010di\u0105 ir iki pat de\u0161in\u0117s rankos, nuo alk\u016bn\u0117s iki nyk\u0161\u010dio. Tokia proporcija taip ir pagra\u017eina paveiksl\u0105.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.konstanta.lt\/wp-content\/uploads\/2024\/05\/6_4.jpg\" alt=\"\" class=\"wp-image-6538\"\/><\/figure>\n<\/div>\n\n\n<p>Auksinio santykio diagrama matoma ir Spiralini\u0173 galaktik\u0173 vijose. Kadangi galaktikos vijos tur\u0117tu jud\u0117ti ma\u017eesniu kampiniu grei\u010diu, vijos tur\u0117t\u0173 u\u017esilengti ir prisiglausti prie galaktikos centro.<br>Bet taip nevyksta, tai rei\u0161kia, kad galaktikos vijose esan\u010di\u0173 \u017evaig\u017ed\u017ei\u0173 greitis yra didesnis negu prie centro.<br>D\u0117l \u0161io Niutono fizikos nepaisymo galaktika i\u0161laiko savo form\u0105 pana\u0161i\u0105 \u012f auksin\u0119 diagram\u0105.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.konstanta.lt\/wp-content\/uploads\/2024\/05\/6_5.jpg\" alt=\"\" class=\"wp-image-6539\"\/><\/figure>\n<\/div>\n\n\n<p>Taip pat galime \u012f\u017evelgti Auksinio santykio diagram\u0105 \u017emogaus veide. Ypatingai Auksinio santykio diagrama atitinka gra\u017e\u0173-proporcing\u0105 veid\u0105. Kaip ir paveiksl\u0117lyje matome, kad ma\u017eesnioji-centrin\u0117 spiral\u0117 \u012fr\u0117mina kair\u012fj\u012f akies plot\u0105. Toliau jinai ple\u010diasi taip, kad spiral\u0117s r\u0117mai tvarkingai glaud\u017eiasi su veido kra\u0161tais. Taip mes suvokiame gra\u017e\u0173 veid\u0105 d\u0117l tvarking\u0173 proporcij\u0173 tarp nosies ir smakro, nosies ir aki\u0173 ir nuo aki\u0173 iki pakau\u0161io.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.konstanta.lt\/wp-content\/uploads\/2024\/05\/6_6.jpg\" alt=\"\" class=\"wp-image-6540\"\/><\/figure>\n<\/div>\n\n\n<p>Dar keletas gamtoje matom\u0173 Auksinio pj\u016bvio diagramos pavyzd\u017ei\u0173;<\/p>\n\n\n\n<p>Viesuluose yra matoma toji proporcija, nes oro mas\u0117s pakei\u010dia savo krypt\u012f ir pradeda suktis jud\u0117damos aplink t\u0105 pat\u012f centr\u0105.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.konstanta.lt\/wp-content\/uploads\/2024\/05\/6_7.jpg\" alt=\"\" class=\"wp-image-6541\"\/><\/figure>\n<\/div>\n\n\n<p>\u012evairi\u0173 g\u0117li\u0173 \u017eieduode matoma proporcija, nes \u017eiedlapiai auga nuo centro po truput\u012f agdami vis \u012f \u0161onus.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.konstanta.lt\/wp-content\/uploads\/2024\/05\/6_8.jpg\" alt=\"\" class=\"wp-image-6542\"\/><\/figure>\n<\/div>\n\n\n<p>Sraigi\u0173 kiautuose ir kriaukl\u0117se taip pat galime pamatyti auksinio pj\u016bvio diagram\u0105 kuri labai pana\u0161i \u012f viesulo.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.konstanta.lt\/wp-content\/uploads\/2024\/05\/6_9.jpg\" alt=\"\" class=\"wp-image-6543\"\/><\/figure>\n<\/div>\n\n\n<p>Taigi galime ai\u0161kiai sakyti, kad matematika yra visur aplink mus, tik kasdieniame gyvenime retai apie tai susim\u0105stome\u2026<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u0160altiniai: ,,wikipedija\u2019\u2019 (lietuvi\u0173 kalba). ,,wikipedia (angl\u0173<br>kalba). ,,visuotin\u0117 lietuvi\u0173 enciklopedija\u2019\u2019. ,,Mathnasium\u2019\u2019 .<br>,,The Mona Lisa foundation\u2019\u2019<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kvie\u010diame skaityti \u0161e\u0161t\u0105j\u012f konkurso darb\u0105! \u0160is darbas var\u017eosi mokini\u0173 kategorijoje. Daugiau apie \u0161\u012f mokslo populiarinimo konkurs\u0105 skaitykite\u00a0\u010cIA. Matas Joris Normantas K\u0105 turi bendro Galaktikos ir Mona Lisa \u0161edevras? Atrodyt\u0173 niekuom [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":8042,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_themeisle_gutenberg_block_has_review":false,"footnotes":""},"categories":[8,1],"tags":[249,128,138],"class_list":["post-8036","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-rasiniai","category-uncategorized","tag-konkursas2024","tag-matematika","tag-mokslas-ir-menas","pb-post","pb-item","pb-col-xl-4 pb-col-m-6 pb-col-s-12","pb-animate pb-animated "],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/mokslosriuba.lt\/kartumesgalime\/wp-content\/uploads\/2024\/05\/Mona-Lisa.jpg","_links":{"self":[{"href":"https:\/\/mokslosriuba.lt\/kartumesgalime\/wp-json\/wp\/v2\/posts\/8036","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mokslosriuba.lt\/kartumesgalime\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mokslosriuba.lt\/kartumesgalime\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mokslosriuba.lt\/kartumesgalime\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mokslosriuba.lt\/kartumesgalime\/wp-json\/wp\/v2\/comments?post=8036"}],"version-history":[{"count":3,"href":"https:\/\/mokslosriuba.lt\/kartumesgalime\/wp-json\/wp\/v2\/posts\/8036\/revisions"}],"predecessor-version":[{"id":8139,"href":"https:\/\/mokslosriuba.lt\/kartumesgalime\/wp-json\/wp\/v2\/posts\/8036\/revisions\/8139"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mokslosriuba.lt\/kartumesgalime\/wp-json\/wp\/v2\/media\/8042"}],"wp:attachment":[{"href":"https:\/\/mokslosriuba.lt\/kartumesgalime\/wp-json\/wp\/v2\/media?parent=8036"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mokslosriuba.lt\/kartumesgalime\/wp-json\/wp\/v2\/categories?post=8036"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mokslosriuba.lt\/kartumesgalime\/wp-json\/wp\/v2\/tags?post=8036"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}