Manambala Fibonacci nafe

Fibonacci manambala ali ponseponse. Iwo alinso music, pa zomangamanga, ndakatulo, masamu, zachuma, za momwe malonda akhalire, mu dongosolo la zomera mu mwauzimu cochlear, mu anapangira thupi ndi zina zotero, malonda infinitum ...

Wotchuka akale masamu Leonardo Pizansky (c. 1170-c. 1250), imadziwika Fibonacci, anali mmodzi wa asayansi otchuka kwambiri nthawi yake. Iye anali woyamba mu Europe adafotokoza ntchito manambala Arabic m'malo Roma ndipo anatsegula zinayendera masamu a manambala, kenako dzina lake, lomwe motere: 1,1,2,3,5,8,13,21, ... ndi zina zotero malonda infinitum. The ndondomeko ya manambala awa amatchedwa "manambala Fibonacci."

N'zosavuta kuona kuti mwa ndondomeko chidwi imeneyi zotsatirazi chiwerengero lililonse aumbike mwa kuwonjezera awiri amene m'mbuyomu. Ndi chiyani chidwi? Ngati ife kugawanitsa lililonse akuti wotsatira wa ndondomeko yapadera imeneyi ya m'mbuyomo chimodzi, ife pang'onopang'ono tidze chifupi ndi zina chodabwitsa transcendental chiŵerengero - chiwerengero cha F (Fibonacci chiwerengero) = 1.6180339887 ...

chiwerengerochi, ngati nambala ku Pihahiroti (3.1415 ...) ali kufunika enieni. chiwerengero cha manambala pambuyo mfundo decimal ali wopandamalire. Chimenechi ndicho chiyambi osati zozizwitsa masamu. Ngati ife kugawanitsa aliyense yokhala pa ndondomeko zotsatira, tidzakhalanso kupeza chiwerengero transcendental 0 6180339887 ... Miracles akupitiriza - pambuyo manambala decimal kubwereza chimodzimodzi zinayendera manambala a F, basi isanafike koma si 1, ndipo 0.

Pitani patsogolo. Ngati ife lalikulu chiwerengero Fibonacci, ndipo zotsatira zake zidzakhala wofanana ndi chiwerengero cha kuyima mu ndondomeko pamaso pake, kuchulukitsa ndi nambala yomwe ali kuseri, kuphatikiza kapena opanda 1. Mwachitsanzo, asanu lofanana mbali zonse ndi wofanana 3x8 + 1; 8 lofanana mbali liri 5x13 opanda 1; 13 anamuukitsa kwa lalikulu, komanso 8x21 + 1 ndi zina zotero. Zizindikiro "kuphatikiza" ndi "opanda" kusintha alternately. Chotero zozizwitsa masamu osiyanasiyana kwambiri pano. Fibonacci manambala ntchito zozizwitsa otizungulira, nthawizina ife basi osaganizira.

manambala Fibonacci m'chilengedwe

Fibonacci magawanidwe, lili ndi maina osiyana - Golden alionse m'dzikoli pali, Golden Gawo, Divine Molingana - opezeka mu malo mosayembekezeka ndi mwachinsinsi. Mwachitsanzo, Gona izi Tingaone pa mosamala za kufanana geometrical Piramidi wa Giza, mapiramidi mu Mexico, chipilala wakale zomangamanga Parthenon.

zomera akhoza kuona ubale zamatsenga. Tingaone manambala Fibonacci kachiwiri, ngati ife kuganizira zosiyanasiyana maluwa Asteraceae chomera: duwa la Iris, ife tikupeza 3 pamakhala, mu Primrose - 5, kwa ragweed - 13, mu Daisy -34, pamene asters - 55 89 pamakhala .

The Goethe kwambiri waona ndi kuphunzira mawu a helicity m'chilengedwe. Mizere yozungulira Tingaone mu njira imeneyi mpendadzuwa mbewu, cones paini, mu cacti, pineapples ndi ena. Pa nthawi zonsezi limapezeka Fibonacci chiwerengero. Mwauzimu kangaude analemba ukonde wake. Yamkuntho ndi wokhotakhota spirally. Choncho anapotoza ndi nyenyezi. "The pamapindikira wa moyo" - otchedwa mwauzimu Iogann Gote.

Akuwonekera Fibonacci chiŵerengero ndi zamoyo wa zamoyo zosiyanasiyana. Mwachitsanzo, chiwerengero cha kuwala starfish zimatsatira manambala a Fibonacci. A udzudzu ophweka akhoza kuwapeza: miyendo yake awiriawiri 3, 8 zigawo ali pamimba, ndi pa mutu wake ali 5 tinyanga. chiwerengero cha vertebrae mu nyama zina 55, ndi zina zotero.

Buluzi chiŵerengero cha kutalika kwa mchira wake kwa ena kutalika thupi la 62 ndi 38, ndipo ubwenzi umenewu ndi wogwirizana ndi zokondweretsa maso athu. Mu nyama ndi zomera dziko, kulikonse kuwawonetsera chosokonekera. Mulungu, Nature kapena Great omanga a gulu anazindikira mu zigawo symmetrical mbali ndi chiŵerengero golide. Mu gawo mobwerezabwereza dongosolo lonse, amene kumasonyeza fractal m'chilengedwe.

Gold chosokonekera anati mu kusintha kugwirizana ndi mtengo mphamvu ya particles pulayimale, kapangidwe ka mankhwala munthu, mu kachitidwe malo, nyumba chibadwa, kapangidwe ka ena ziwalo ndi thupi, anawona mu biorhythms, ubongo ntchito ndi katundu wa maganizo.