Fibonacci nhamba nesu

Fibonacci nhamba vose yakatipoteredza. Ivowo vari mumhanzi, muna mapurani, muna nhetembo, masvomhu, zvoupfumi, pamusika wemari, marongerwo zvinomera zviri cochlear zononoka, ari kukura nomuviri womunhu uye zvichingodaro, AD infinitum ...

Famous Ages yemasvomhu Leonardo Pizansky (c. 1170-c. 1250), nani kuzivikanwa Fibonacci, aiva mumwe yakakurumbira masayendisiti nguva yake. Ndiye aiva wokutanga Europe zvairatidza kushandisa Arabic sezviverengo panzvimbo Roman uye akazarura kwemasvomhu kutevedzana nhamba, yainzi pashure pake, riri sezvinotevera: 1,1,2,3,5,8,13,21, ... zvichingodaro vaGiriyedhi infinitum. The kutevedzana nhamba idzi dzimwe nguva anonzi "Fibonacci nhamba."

Zviri nyore kuona kuti iyi urongwa kunoshamisa pakutevera nhamba nomumwe achiumbwa nokuwedzera mbiri yapfuura vaya. Uye chii zvichishamisa? Kana isu vagovane mumwe Zvakazoitwa izwi iyi yakasiyana kutevedzana kwezviitiko yapfuura mumwe, tichava zvishoma nezvishoma kuuya pedyo zvimwe zvinoshamisa transcendental reshiyo - kuwanda F (Fibonacci nhamba) = 1.6180339887 ...

Nhamba iyi, kufanana nhamba Pi (3.1415 ...) ane chaiyo ukoshi. Kuwanda digits mushure grade pfungwa magumo. Ndiwo mavambo uye kwete kwemasvomhu zvishamiso chete. Kana isu vagovane mumwe rokuti kutevedzana kutevera, tichabata kuwana transcendental nhamba 0 6180339887 ... Miracles anopfuurira - mushure grade digits kudzokorora chaizvo kutevedzana kwezviitiko digits pakati F, ari koma asati haisi 1, uye 0.

Enda mberi. Kana Tinotenderana kuti chero Fibonacci nhamba, zvichabuda akaenzana nokuwanda amire kutevedzana pamberi pake, vawanda nenhamba kuti chinozvikonzera, pamwe kana kubvisa 1. Somuenzaniso, shanu akaenzana akaenzana 3x8 + 1; 8 akaenzana akaenzana 5x13 kubvisa 1; 13 akamutsa kuti square, uyewo 8x21 + 1 uye zvichingodaro. Zviratidzo "ndinoiitawo" uye "kubvisa" kuchinja rave. Kwakadaro zvishamiso kwemasvomhu zvakawanda pano. Fibonacci nhamba zvishamiso zvakatipoteredza, dzimwe nguva isu chete regai cherechedzai.

Fibonacci nhamba zvakasikwa

Fibonacci ratios, akatakura mazita akasiyana - Golden Ratio, Golden Section, zvinoenderana Divine - hunowanikwa isingambofungirwi uye zvisinganzwisisiki nzvimbo. Somuenzaniso, ukama izvi zvinogona kuonekwa pamusoro pokunyatsofungisisa geometrical kukura Pyramid of Giza, mapiramidhi muna Mexico, Monument yekare mapurani Parthenon.

Mbeu rinogonawo kuona mashiripiti ukama. Tinogona kuona Fibonacci nhamba zvakare, kana isu nyatsofunga-siyana maruva Asteraceae chirimwa: ruva Iris, tinowana 3 petals, mu Mupedzi - 5, kubva ragweed - 13, muna Daisy -34, apo asters - 55 uye 89 petals .

Mukuru Goethe akacherechedza uye kudzidza kutaura helicity zvakasikwa. Spirals zvinogona kuonekwa munzira rakamiswa sunflower mbeu, nemipaini pasikweya, muna cacti, pineapples uye vamwe. Muzviitiko zvose izvi anooneka Fibonacci nhamba. Spiral dandemutande weaving padandemutande kwayo. Madutu vari vakamonyanisa spirally. Saka vakamonyanisa uye mapoka enyeredzi. "The munyonga kwoupenyu" - vanonzi zononoka Iogann Gote.

Unoratidzwa Fibonacci reshiyo uye zvipenyu zviri zvipenyu zvakasiyana. Somuenzaniso, nhamba nemwaranzi Starfish anoenderana Fibonacci nhamba. A nyore mosquito kunogonawo kudziwana; makumbo ake 3 majoko, 8 zvikamu ane mudumbu, uye pamusoro wake ane 5 tunonzwa. Kuwanda vertebrae mune dzimwe mhuka 55, uye zvichingodaro.

Dzvinyu nhamba kureba muswe wayo Vamwe muviri urefu 62 uye 38, uye ukama izvi zvinopindirana uye zvinofadza meso edu. Vari mhuka uye chirimwa nyika, kwese anoratidza symmetry. Mwari, Nature kana Great Architect of vakaziva weboka kupinda zvakafanana, ichibata zvikamu, nhengo uye yendarama reshiyo. Muchikamu akadzokorora chikamu anogona yose chimiro, inova kuratidzwa Fractal zvakasikwa.

Gold symmetry akaona kuchinja chokuita simba mari zvokutanga nezvimedu, sechivako nomunhu makemikari, muchadenga hurongwa, nemagene zvivako, sechivako vamwe nhengo dzakavandika dzevanhu uye muviri, kuonekwa biorhythms, uropi kushanda uye zvivako zviri maonero.