Linomoro Fibonacci le rona

Fibonacci linomoro li hohle. Ba boetse ho na le ka 'mino, ka mehaho, ka lithothokiso, thuto ea lipalo, moruo,' marakeng setokong, ka sebopeho sa ea limela ka spiral cochlear, ka boholo ba 'mele oa motho le tse ling tse joalo, papatso infinitum ...

Famous mehleng e bohareng setsebi sa lipalo Leonardo Pizansky (c. 1170-c. 1250), molemo e tsejoang e le Fibonacci, e ne e le e mong oa bo-rasaense ba tumme haholo mehleng ea hae. E ne e le lekhetlo la pele Europe etsa tlhahiso ea ho sebelisoa ha lipalo Searabia sebakeng sa Roma le ho bula tatelano thuto ea lipalo tsa linomoro, hamorao e mong ea bitsoang ka mor'a hae, eo e ka tsela e latelang: 1,1,2,3,5,8,13,21, ... joalo joalo papatso infinitum. Tatelano ea linomoro tsena ka linako tse ling se bitsoang "linomoro Fibonacci."

Ho bonolo ho hlokomela hore ka tatelano e tsotehang ena latelang palo e mong le e thehoa ka ho phaella ka ho re tse peli tse ba fetileng. Le ha e le life ka tsela e hlollang? Ha re arola mong le poleloana e reng latelang tsa latellana joang ena e ikhethang ea pejana e mong, re tla butle-butle li haufi-ufi le ba bang ba hlollang transcendental karo-karolelano - palo ea F (Fibonacci palo) = 1.6180339887 ...

palo ena, joaloka palo Pi (3.1415 ...) e na le boleng hantle. palo ea dinokong mor'a ntlha e mesa ke keng ba lekanngoa. Sena ke qalo le seng feela mehlolo lipalo. Ha re arola mong le e telele tsa latellana joang ileng tsa latela, re tla boela re fumana nomoro transcendental 0 6180339887 ... Mehlolo tsoela pele - ka mor'a ea dinokong tesimale pheta hantle tatelano ya dinokong ea F, feela pele phelelwana hase 1, 'me 0.

Tsoelepele. Ha re le boholo ba lisekoere palo efe kapa efe Fibonacci, phello e tla ba lekana le palo ea emeng a latellana joang ka pel'a hae, ba ntse ba eketseha ka palo le hore na ka mor'a bona, le se le kapa ho tloswa 1. Ka mohlala, tse hlano nang le disekwere o lekana le 3x8 + 1; 8 nang le disekwere lekana 5x13 tloswa 1; 13 tsosetsoa lisekoere, hammoho 8x21 + 1 joalo joalo. Matšoao "garena" le "ho tloswa" liphetoho alternately. Joalo mehlolo thuto ea lipalo tse fapa-fapaneng haholo mona. Fibonacci linomoro sebetsa mehlolo re pota-potileng, ka linako tse ling re mpa re sa hlokomela.

linomoro Fibonacci tsa tlhaho

Fibonacci dikabo, ho beha mabitso a fapaneng - Golden karo-karolelano, Golden Karolo, Molimo lekana - fumanoa libakeng tse ngata tse sa lebelloang le mohlolo. Mohlala, likamano tsena ka bonoa holim 'a hlahlobisisa tsa boholo jeometeri phiramiti ya ya Giza, liphiramide ka Mexico, sefika ea boholo-holo mehaho Parthenon.

limela ka boela bona le kamano ea boselamose. Re ka boloka linomoro Fibonacci hape, haeba re hlahloba ka hloko mefuta e fapaneng ya lipalesa Asteraceae dimela: palesa ea iris e, re fumana 3 le mahlaku a, ka Primrose - 5, ho tloha ragweed - 13, ka Daisy -34, ha asters - 55 le ea 89 le mahlaku a .

The wolfgagng goethe moholo o ile a re le ka ithuta le pontšo ea helicity ka tlhaho. Ikhara ka bonoa ka tsela leng le sonobolomo dipeo, dikhouno phaene, ka cacti, liphaenapole le ba bang. Maemong ana kaofela bonahala Fibonacci palo. Spiral sekho weaves ho web tsa lona. Maholiotsoana li sothile spirally. Kahoo sothile le lihlopha tsa linaleli. "The mothinya oa bophelo" - ho thoeng spiral Iogann gote,.

E bontšoa Fibonacci karo-karolelano le baeloji ea lintho tse fapaneng. Ka mohlala, palo ea mahlaseli starfish tsamaisana Fibonacci linomoro. A monoang e bonolo ka boela fumana: maoto a hae lipara 3, 8 likarolo na le mpeng, 'me ka hlooho ea hae e na le 5 antennae. palo ea vertebrae ka bang liphoofolo ke batho ba 55, 'me joalo-joalo.

Lizard karo-karolelano ea bolelele ba mohatla oa eona ho ba bang kaofela ba bolelele mele oa 62 le 38, 'me kamano ena ea lumellana le khahlisang mahlo a rōna. Ka phoofolo le limela lefatše, hohle bontša setshwani. Molimo, Nature kapa Great meralo ya karohano hlokomela ka likarolo ditshwani, likarolo le karo-karolelano ea khauta. Karolong e ka makhetlo-khetlo ka sebopeho kaofela, oo e leng pontšo ea fractal ka tlhaho.

Khauta setshwani hlokomela ka ho fetoha e amanang le theko eneji, le ea likaroloana tsa motheo, sebōpeho sa metsoako lik'hemik'hale motho, ka tsamaiso ea sebaka, mehaho e liphatseng tsa lefutso, sebōpeho sa ba bang ba makala a batho le 'mele, bonoa biorhythms, boko mosebetsi le thepa ea maikutlo.