Amanani Fibonacci nathi

amanani Fibonacci yonke indawo. Kwakhona umculo, bokwakha, kwimibongo, imathematika, ezoqoqosho, imarike stock, xa isakhiwo lezityalo isantya cochlear, xa olinganise umzimba womntu njalo, ad infinitum ...

yezibalo medieval Famous Leonardo Pizansky (c. 1170-c. 1250), eyaziwa ngokuba Fibonacci, wayengomnye izazinzulu abadumileyo ngexesha lakhe. Yena waba ngowokuqala eYurophu wacebisa ukusetyenziswa Amanani Arabhu endaweni waseRoma yaye wavula ulandelelwano zezibalo zamanani, kamva igama emva kwakhe, oko ngolu hlobo lulandelayo: 1,1,2,3,5,8,13,21, ... njalo infinitum intengiso. Ulandelelwano kwezi nombolo maxa wambi ebizwa ngokuba "amanani Fibonacci."

Kulula ukuba uqaphele ukuba le ulandelelwano ephawulekayo inombolo elandelayo ngalinye luqokelelane ngokudibanisa abo emibini edlulileyo. Kwaye yintoni na ephawulekayo? Xa sisahlula kwikota nganye esilandelayo sale ulandelelwano Iweziganeko kowangaphambili, siya ngcembe uya zisondele amangalisayo ratio ngokudlul - inani F (Inombolo Fibonacci) = 1.6180339887 ...

Eli nani, njenge inani le Pi (3.1415 ...) anexabiso ngqo. Inani lamasuntswana emva kokuba kwesishumi ayiphele ndawo. Esi sisiqalo kwaye imimangaliso kuphela zezibalo. Xa sisahlula kwikota nganye bokulandelelana ukulandela, siza kufumana inani ngokudlul 0 6180339887 ... Imimangaliso uyaqhubeka - emva imivo lokugqibela ukuphinda kanye ukulandelelana zekhadi F, ngaphambi nje kokuba kwekoma ayikho 1, no 0.

Yiya phambili. Ukuba inxaki inani nayiphi Fibonacci, umphumo iya kulingana nenani emi ngokulandelelana phambi kwakhe, liphindaphindwe ngenani osemva ngayo, dibanisa okanye thabatha 1. Umzekelo, ezintlanu kabini ilingana 3x8 + 1; 8 'ophindwe kabini lingana 5x13 thabatha 1; 13 akavuswanga isikwere, ngokunjalo 8x21 + 1 njalo njalo. Gns "dibanisa" yaye "thabatha" utshintsho yanjalo. loo mimangaliso zezibalo ezahlukeneyo enkulu apha. amanani Fibonacci ukusebenza imimangaliso ngeenxa zonke kuthi, ngamanye amaxesha nje awuboni.

amanani Fibonacci endalweni

Fibonacci Imilinganiselo, ethwele amagama ahlukeneyo - Ratio Golden, Section Golden, emisiweyo eNgcwele - ifumaneka kwiindawo ezininzi engalindelekanga yaye kungakholeleki. Umzekelo, ezi ubudlelwane ingabonwa phezu ingqalelo ngononophelo olinganise zejometri nePiramidi Giza, iiphiramidi e Mexico, lesikhumbuzo yamandulo ukwakhiwa iParthenon.

Ibeetroot kwakhona ukubona ubudlelwane omlingo. Sinako bagcine amanani Fibonacci kwakhona, xa siqwalasela ngenyameko iintlobo seentyatyambo, kanti isityalo: intyantyambo iris, sifumana ezinamagqabi 3, xa primrose - 5, ukusuka ragweed - 13, kwi mbali -34, lo gama asters - 55 no 89 ezinamagqabi .

I Goethe omkhulu eziqwalaselwa wafunda amazwi helicity endalweni. Ahamba kunokubonwa ukuba ime ngendlela iimbewu zikajongilanga, iikhowuni pine, xa Cacti, pineapples kunye nabanye. Kuzo zonke ezi meko kubonakala inombolo Fibonacci. spider Ukonakala eman 'web yayo. Hurricane ukuba basonte spirally. Ezingatshongo ziwe. "Le kwigophe wobomi" - ekuthiwa-ezijikeleze Iogann Gote.

Kubonakala Fibonacci ratio kunye eziphilayo zezinto eziphilayo ezahlukeneyo. Umzekelo, inani reyi ezizinkwenkwezi bahambelana Fibonacci amanani. A iingcongconi elula nako ukufumana kubo: Imilenze yakhe izibini 3, 8 ziqwempu uye isisu, kwaye phezu kwentloko yakhe 5 zazibekwe. Inani omqolo kwezinye izilwanyana ngu 55, njalo njalo.

ratio necilishe lobude umsila wayo ukuba abaseleyo ubude umzimba 62 no-38, yaye olu lwalamano oluhle kunye elikholekileyo emehlweni ethu. Xa zezilwanyana nezityalo ehlabathini, yonke ubonisa ulingano. UThixo, Nature okanye lomhleli lomahluko waqonda ibe amacandelo macala, iindawo kunye ratio segolide. Kwinxalenye ngokuphindaphindiweyo ungakwazi yonke isakhiwo, nto leyo ibonakalisa Fractal endalweni.

lohlukanisa Gold iqatshelwe zinakho ezinxulumene neendleko amandla amasuntswana samabanga aphantsi, ubume iikhemikali ngamnye, kwiinkqubo isithuba, izakhiwo yemfuza, isakhiwo amanye amalungu oluntu kunye nomzimba, sibonile biorhythms, nokusebenza kwengqondo kunye neempawu okuqonda.