Fibonacci izinombolo nathi

Fibonacci zinombolo asizombelezileko. Nabo basesivumelwaneni umculo, bokwakha, izinkondlo, izibalo, ezomnotho, stock market, kule nokwakheka izitshalo Kuvunguza cochlear, olinganise zomzimba womuntu nokunye, Ad Infinitum ...

Famous sezibalo medieval Leonardo Pizansky (c. 1170-c. 1250), eyaziwa ngokuthi Fibonacci, wayengomunye walaba ososayensi edume kunazo zonke ngaleso sikhathi. WayeyiZwi wokuqala eYurophu aphakanyisiwe ukusetshenziswa zesi-Arabhu esikhundleni Roman futhi ngavula ukulandelana zezibalo izinombolo, kamuva ngegama lakhe, okuyinto kanje: 1,1,2,3,5,8,13,21, ... nokunye Ad Infinitum. Kulandzelana kwalokucuketfwe lokuhleliwe lezi zinombolo ngezinye izikhathi ibizwa ngokuthi "Fibonacci izinombolo."

Kulula ukuqaphela ukuthi kule ukulandelana emangalisayo elandelayo inombolo ngayinye kwakhiwa ngokungeza laba ababili langaphambilini. Futhi lokho kuyinto ephawulekayo? Uma thina uhlukanise ngamunye eside okwalandela lokhu ukulandelana eziyingqayizivele sangaphambilini, sizokwenza kancane kancane asondela kakhudlwana ezinye amazing isilinganiso obabazekayo - isibalo F (inombolo Fibonacci) = 1.6180339887 ...

Lesi sibalo, efana inombolo Pi (3.1415 ...) inenani ngqo. Inombolo yamadijithi emva iphuzu zamadesimali akunakulinganiswa. Lona ekuqaleni hhayi izimangaliso zezibalo kuphela. Uma thina uhlukanise eside wokulandelana ngamunye ukulandela, sizokwenza futhi uthole inombolo obabazekayo 0 6180339887 ... Izimangaliso uyaqhubeka - emva amadijithi idesimali ukuphinda ncamashi nokulandelana kwamadijithi F, ngaphambi nje kokuba ama-ukhefana akuyona 1, futhi 0.

Qhubekela phambili. Uma thina Square inombolo iyiphi Fibonacci, umphumela uyoba ilingana nenani emi ukulandelana phambi kwakhe, siphindwe ngesibalo ukuthi ongumgqugquzeli wawo, plus noma lokususa 1. Ngokwesibonelo, ezinhlanu yisikwele ilingana 3x8 +1; 8 yisikwele kulingana 5x13 lokususa 1; 13 ophakanyiswe square, kanye 8x21 +1 nokunye. Izimpawu "plus" futhi "lokususa" izinguquko yanjalo. Okunjalo izimangaliso zezibalo ezihlukahlukene omkhulu lapha. Fibonacci izinombolo wenza izimangaliso abasizungezile, kwesinye isikhathi thina nje awuboni.

izinombolo Fibonacci ngokwemvelo

Fibonacci okungu, ebizwa amagama ahlukene - Inani labantu okufanele lifinyelelwe Golden, Golden Isigaba, Ingxenye ZikaNkulunkulu - itholakala ezindaweni ezingalindelekile kakhulu futhi engaqondakali. Ngokwesibonelo, lezi ubudlelwane kungabonwa phezu Ukucabangisisa olinganise yejeyomethri Umbhoshongo Giza, imibhoshongo e Mexico, isakhiwo sasendulo izakhiwo Parthenon.

Izitshalo ungabona futhi ubuhlobo imilingo. Asikwazi ukubona Fibonacci izinombolo futhi, uma sicabanga ngokucophelela ezihlukahlukene izimbali Asteraceae isitshalo: imbali iris, sithola 3 amacembe, e primrose - 5, kusukela ragweed - 13, e Daisy -34, kuyilapho asters - 55 kanye 89 amacembe .

I Goethe enkulu ebuka futhi ecwaninga uwukubonakaliswa helicity ngokwemvelo. Lemiklamo kungabonwa ku elitholakala indlela imbewu sunflower, uphayini Izigaxa, e Cacti, uphayinaphu kanye nabanye. Kuzo zonke lezi zimo livela inombolo Fibonacci. spider Kuvunguza esenza web yayo. Hurricanes okokusonteka spirally. Ngakho basonta imithala. "I ijika wokuphila" - okubizwa ngokuthi Kuvunguza Iogann gote.

Kubonakala Fibonacci ratio futhi biology eziphilayo ezihlukahlukene. Ngokwesibonelo, isibalo imisebe starfish zivumelana Fibonacci izinombolo. A omiyane elula ungathola kuzo: imilenze yakhe 3 ngazimbili, 8 izingxenye has esiswini, nasekhanda lakhe has 5 izimpondo. Isibalo amathambo kwezinye izilwane kuyinto 55, nokunye.

isilinganiso Lizard ka ubude umsila wayo ukuze lonke ubude umzimba 62 no-38 ubudala, futhi Lobu buhlobo obunobunye futhi uyabukeka emehlweni ethu. Esikhathini izilwane nezitshalo zomhlaba, yonke indawo ububonisa wesimethri. Nkulunkulu, Imvelo noma lomhleli Omkhulu besigaba waqaphela zibe izingxenye ziyalingana, izingxenye kanye isilinganiso segolide. Engxenyeni okuphindaphindiwe can lonke isakhiwo, okuyinto siwukubonakaliswa Fractal ngokwemvelo.

wesimethri Igolide nasemkhakheni ukuhwebelana elihlanganiswe nokubiza amandla izinhlayiya aphansi, isakhiwo ngabanye chemical compounds, emkhathini izinhlelo, izakhiwo zofuzo, isakhiwo ezinye kwezitho zomzimba nomzimba, esibonakala biorhythms, ekusebenzeni kobuchopho futhi izakhiwo okuqonda.