{"id":14,"date":"2015-06-17T22:17:22","date_gmt":"2015-06-17T19:17:22","guid":{"rendered":"http:\/\/kosmosmacerasi.com\/v1\/?p=14"},"modified":"2019-10-30T12:27:29","modified_gmt":"2019-10-30T09:27:29","slug":"fibonacci-dizisi-ve-altin-oran","status":"publish","type":"post","link":"https:\/\/kosmosmacerasi.com\/v1\/2015\/06\/fibonacci-dizisi-ve-altin-oran\/","title":{"rendered":"ALTIN ORAN VE F\u0130BONACC\u0130 D\u0130Z\u0130S\u0130"},"content":{"rendered":"

 <\/p>\n

Alt\u0131n oran, Fi (phi) say\u0131s\u0131 olarak bilinir. Neticede matematiksel bir kavramd\u0131r ve de\u011feri de 1,618 dir.<\/p>\n

Fibonacci say\u0131lar\u0131 ve alt\u0131n oran matemati\u011fin en ilgi \u00e7ekici konular\u0131 aras\u0131ndad\u0131r. Fibonacci dizisinin mucidi Leonardo Fibonacci 13. y\u00fczy\u0131lda ya\u015fam\u0131\u015f bir \u0130talyan matematik\u00e7isiydi.<\/p>\n

F\u0130BONACC\u0130 D\u0130Z\u0130S\u0130: 1,1,2,3,5,8,13,21,34,55,89,144\u2026.<\/p>\n

Bu diziye bakt\u0131\u011f\u0131m\u0131z zaman onun basit bir kurala dayanarak olu\u015fturuldu\u011funu g\u00f6rebiliriz. Bu kural\u0131 s\u00f6zc\u00fcklerle ifade edersek; her say\u0131 (ilk ikisi d\u0131\u015f\u0131nda) kendisinden \u00f6nce gelen iki say\u0131n\u0131n toplam\u0131ndan olu\u015fmu\u015ftur. Dizinin ilerleyen say\u0131lar\u0131nda al\u0131nan bir terimin bir \u00f6nceki terime oran\u0131 alt\u0131n orana yak\u0131nla\u015fmaktad\u0131r.<\/p>\n

\"image007\"<\/a>ALTIN ORANIN G\u00d6R\u00dcLD\u00dc\u011e\u00dc VE KULLANILDI\u011eI YERLER:<\/span><\/strong><\/p>\n

1) Ay\u00e7i\u00e7e\u011fi:<\/span> Ay\u00e7i\u00e7e\u011finin merkezinden d\u0131\u015far\u0131ya do\u011fru sa\u011fdan sola ve soldan sa\u011fa do\u011fru tane say\u0131lar\u0131n\u0131n birbirine oran\u0131, alt\u0131n oran\u0131 verir.<\/p>\n

 <\/p>\n

2) Papatya:<\/span> Papatya \u00e7i\u00e7e\u011finde de ay\u00e7i\u00e7e\u011finde oldu\u011fu gibi bir alt\u0131n oran mevcuttur.<\/p>\n

3) M\u0131s\u0131r Piramitleri:<\/span> Her bir piramidin taban\u0131n\u0131n y\u00fcksekli\u011fine oran\u0131 yine alt\u0131n oran\u0131 veriyor.<\/p>\n

\"mona<\/a><\/p>\n

 <\/p>\n

4) Leonardo da Vinci:<\/span> Bilindi\u011fi gibi Leonardo da Vinci R\u00f6nesans devri \u00fcnl\u00fc ressamlar\u0131ndand\u0131r. \u015eimdi bu \u00fcnl\u00fc ressam\u0131n \u00e7izmi\u015f oldu\u011fu tablolar\u0131 inceleyelim.<\/p>\n

Mona Lisa: Bu tablonun boyunun enine oran\u0131 alt\u0131n oran\u0131 verir.<\/p>\n

Aziz Jerome: Yine tablonun boyunun enine oran\u0131 bize alt\u0131n oran\u0131 verir.<\/p>\n

Cool Picasso: Picasso da Leonardo da Vinci gibi \u00fcnl\u00fc bir ressamd\u0131r ve resimlerinde bu oran\u0131 kullanm\u0131\u015ft\u0131r.<\/p>\n

 <\/p>\n

5) \u00c7am Kozala\u011f\u0131:<\/span> \u00c7am kozala\u011f\u0131ndaki taneler kozala\u011f\u0131n alt\u0131ndaki sabit bir noktadan kozala\u011f\u0131n tepesindeki ba\u015fka bir sabit noktaya do\u011fru spiraller (e\u011friler) olu\u015fturarak \u00e7\u0131karlar. \u0130\u015fte bu e\u011frinin e\u011frilik a\u00e7\u0131s\u0131 alt\u0131n orand\u0131r.<\/p>\n

\"deniz\"<\/a>6) Deniz Kabu\u011fu:<\/span> Deniz kabu\u011funun yap\u0131s\u0131 incelendi\u011finde bir e\u011frilik tespit edilmi\u015f ve bu e\u011frili\u011fin tanjant\u0131n\u0131n alt\u0131n oran oldu\u011fu g\u00f6r\u00fclm\u00fc\u015ft\u00fcr.<\/p>\n

7) T\u00fct\u00fcn:<\/span> T\u00fct\u00fcn Bitkisinin yapraklar\u0131n\u0131n dizili\u015finde bir e\u011frilik s\u00f6z konusudur. Bu e\u011frili\u011fin tanjant\u0131 alt\u0131n orand\u0131r. Ayn\u0131 \u00f6zellik e\u011frelti otunda da vard\u0131r.<\/p>\n

8) Elektrik Devresi:<\/span> Alt\u0131n Oran sadece Matematik ve k\u00e2inatta de\u011fil, Fizik\u2019te de kullan\u0131l\u0131yor. Verilen n tane diren\u00e7ten maximum verim elde etmek i\u00e7in bir paralel ba\u011flama yap\u0131lmas\u0131 gerekir. Bu durumda E\u015fde\u011fer Diren\u00e7, yani Re\u015f = alt\u0131n oran olur.<\/p>\n

9) Salyangoz:<\/span> Salyangozun Kabu\u011fu bir d\u00fczleme aktar\u0131l\u0131rsa, bu d\u00fczlem bir dikd\u00f6rtgen olu\u015fturur (ki biz bu dikd\u00f6rtgene alt\u0131n dikd\u00f6rtgen diyoruz) \u0130\u015fte bu dikd\u00f6rtgenin boyunun enine oran\u0131 yine alt\u0131n oran\u0131 verir.<\/p>\n

10) Mimar Sinan:<\/span> Mimar Sinan\u2019\u0131n da bir\u00e7ok eserinde bu alt\u0131n oran g\u00f6r\u00fclmektedir. Mesela S\u00fcleymaniye ve Selimiye Camileri\u2019nin minarelerinde bu oran kullan\u0131lm\u0131\u015ft\u0131r.<\/p>\n

 <\/p>\n

11) Ar\u0131 Kovanlar\u0131:<\/span> Ar\u0131 kovanlar\u0131nda ya\u015fayan di\u015fi ar\u0131lar\u0131n say\u0131s\u0131n\u0131n erkek ar\u0131lar\u0131n say\u0131s\u0131na b\u00f6l\u00fcnd\u00fc\u011f\u00fcnde hep ayn\u0131 say\u0131 elde edilir. Yani 1.618<\/p>\n

12) Sanatta:<\/span> Michelangelo, Albrecht D\u00fcrer, Da Vinci ve di\u011ferlerinin sanat eserlerinde, Alt\u0131n Orana bilin\u00e7li ve dikkatli bir ba\u011fl\u0131l\u0131k s\u00f6z konusudur. Beethoven in Be\u015finci Senfonisinde, Bartok\u2019un, Debussy\u2019nin ve Shubert\u2019in eserlerinde de g\u00f6z\u00fck\u00fcr. Stradivarius\u2019 un bile \u00fcnl\u00fc kemanlar\u0131ndaki F deliklerinin yerlerini belirlemekte alt\u0131n oran\u0131 kulland\u0131\u011f\u0131 bilinmektedir.<\/p>\n

\"bedenmimari\"<\/a>\u0130NSAN V\u00dcCUDUNDA ALTIN ORAN<\/span><\/strong><\/p>\n

\u0130nsan g\u00f6z\u00fcn\u00fcn alt\u0131n orana bu kadar yak\u0131n olmas\u0131n\u0131n, estetik a\u00e7\u0131dan s\u00fcrekli olarak alt\u0131n orana uygun \u015fekil ve yap\u0131lar\u0131 tercih etmesinin bir nedenini, ya\u015fad\u0131\u011f\u0131 \u00e7evre olan do\u011fada hemen her an alt\u0131n oranla kar\u015f\u0131 kar\u015f\u0131ya olmas\u0131n\u0131n yan\u0131 s\u0131ra, kendi v\u00fccudunun hemen her noktas\u0131nda alt\u0131n orana sahip olmas\u0131nda arayabiliriz. A\u015fa\u011f\u0131da oranlarda insan\u0131nda ne kadar alt\u0131n oran \u00f6rne\u011fi oldu\u011funu g\u00f6receksiniz:<\/p>\n

Tam Boy \/ Bacak boyu<\/p>\n

Beden Boyu \/ Kol alt\u0131 beden boyu<\/p>\n

Parmak ucu \u2013 Omuz boyu \/ Parmak ucu \u2013 Dirsek boyu<\/p>\n

G\u00f6bek \u2013 Omuz boyu \/ G\u00f6bek \u2013 Bel boyu<\/p>\n

Kollar:<\/span> \u0130nsan v\u00fccudunun bir par\u00e7as\u0131 olan kollar\u0131 dirsek iki b\u00f6l\u00fcme ay\u0131r\u0131r. B\u00fcy\u00fck (\u00fcst) b\u00f6l\u00fcm ve k\u00fc\u00e7\u00fck (alt) b\u00f6l\u00fcm olarak. Kolumuzun \u00fcst b\u00f6l\u00fcm\u00fcn\u00fcn alt b\u00f6l\u00fcme oran\u0131 alt\u0131n oran\u0131 verece\u011fi gibi, kolumuzun tamam\u0131n\u0131n \u00fcst b\u00f6l\u00fcme oran\u0131 yine alt\u0131n oran\u0131 verir.<\/p>\n

Parmaklar:<\/span> Ellerimizdeki parmaklarla alt\u0131n oran\u0131n ne alakas\u0131 var diyebilirsiniz. \u0130\u015fte size alaka\u2026 Parmaklar\u0131n\u0131z\u0131n \u00fcst bo\u011fumunun alt bo\u011fuma oran\u0131 alt\u0131n oran\u0131 verece\u011fi gibi, parma\u011f\u0131n\u0131z\u0131n tamam\u0131n\u0131n \u00fcst bo\u011fuma oran\u0131 yine alt\u0131n oran\u0131 verir.<\/p>\n

\u0130NSAN Y\u00dcZ\u00dcNDE ALTIN ORAN<\/span><\/strong><\/p>\n

\u0130deal \u00f6l\u00e7\u00fclere sahip bir insan y\u00fcz\u00fcnde de say\u0131s\u0131z alt\u0131n oran \u00f6rnekleri g\u00f6rmek m\u00fcmk\u00fcnd\u00fcr:<\/p>\n

\"altin-oran_152b871b1d25da\"<\/a>Y\u00fcz y\u00fcksekli\u011fi \/ Y\u00fcz geni\u015fli\u011fi<\/p>\n

Al\u0131n geni\u015fli\u011fi \/ Burun boynu<\/p>\n

Y\u00fcz geni\u015fli\u011fi \/ G\u00f6zbebekleri aras\u0131<\/p>\n

G\u00f6zbebekleri aras\u0131 \/ A\u011f\u0131z geni\u015fli\u011fi<\/p>\n

A\u011f\u0131z geni\u015fli\u011fi \/ Burun geni\u015fli\u011fi<\/p>\n

 <\/p>\n

Kaynak:<\/strong> Britannica<\/p>\n

Resim D\u00fczenleme:<\/strong> \u00c7i\u011fdem Sar\u0131g\u00fcl<\/p>\n","protected":false},"excerpt":{"rendered":"

  Alt\u0131n oran, Fi (phi) say\u0131s\u0131 olarak bilinir. Neticede matematiksel bir kavramd\u0131r ve de\u011feri de 1,618 dir. Fibonacci say\u0131lar\u0131 ve alt\u0131n oran matemati\u011fin en ilgi \u00e7ekici konular\u0131 aras\u0131ndad\u0131r. Fibonacci dizisinin mucidi Leonardo Fibonacci 13. y\u00fczy\u0131lda ya\u015fam\u0131\u015f bir \u0130talyan matematik\u00e7isiydi. F\u0130BONACC\u0130 D\u0130Z\u0130S\u0130: 1,1,2,3,5,8,13,21,34,55,89,144\u2026. Bu diziye bakt\u0131\u011f\u0131m\u0131z zaman onun basit bir kurala dayanarak olu\u015fturuldu\u011funu g\u00f6rebiliriz. Bu kural\u0131 …<\/p>\n","protected":false},"author":1,"featured_media":15,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,94],"tags":[],"class_list":["post-14","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-altin-oran","category-one-cikanlar"],"_links":{"self":[{"href":"https:\/\/kosmosmacerasi.com\/v1\/wp-json\/wp\/v2\/posts\/14","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kosmosmacerasi.com\/v1\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kosmosmacerasi.com\/v1\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kosmosmacerasi.com\/v1\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kosmosmacerasi.com\/v1\/wp-json\/wp\/v2\/comments?post=14"}],"version-history":[{"count":11,"href":"https:\/\/kosmosmacerasi.com\/v1\/wp-json\/wp\/v2\/posts\/14\/revisions"}],"predecessor-version":[{"id":4149,"href":"https:\/\/kosmosmacerasi.com\/v1\/wp-json\/wp\/v2\/posts\/14\/revisions\/4149"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/kosmosmacerasi.com\/v1\/wp-json\/wp\/v2\/media\/15"}],"wp:attachment":[{"href":"https:\/\/kosmosmacerasi.com\/v1\/wp-json\/wp\/v2\/media?parent=14"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kosmosmacerasi.com\/v1\/wp-json\/wp\/v2\/categories?post=14"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kosmosmacerasi.com\/v1\/wp-json\/wp\/v2\/tags?post=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}