Imizekelo yolwakhiwo lwegolide inokufumaneka kubomi bemihla ngemihla kubandakanya nendalo nakwizinto ezenziwe ngabantu kunye nezakhiwo kunye nomculo. Imizekelo yeGreyini yeGolide, ekwabizwa ngokuba yi Ubungakanani bukaThixo, bonisa inani elingenasiphelo elingenakusetyenziswa njengenani elipheleleyo okanye iqhezu. Inombolo ibhaliwe njenge-1.62, isifinyezo se-1.618033989. Eli nani lamanani laziwa njenge Phi . Ungasifumana isiXeko sikaThixo kuyo yonke indalo. Iingcali zeMathematika, iimvumi kunye namagcisa asebenzise iRatio yeGolide. Ngenxa yeepropathi zayo ezizodwa, abaninzi bakholelwa ukuba umlinganiso wegolide, unxantathu wegolide (okwaziwa ngokuba yiGolden Proportions), kunye neGolden Triangle ukuba ingokobuthixo.
Imizekelo yoyilo loyilo lwegolide
Umlinganiso weGolide udala ubuhle obugqibeleleyo kwindalo nakubugcisa. Xa uqala ukukhangela imizekelo yemizekelo ye-Golden Ratio kubomi bemihla ngemihla, ungothuka ziziganeko ezininzi eziye zasetyenziswa luluntu ukwenza izakhiwo kunye nezakhiwo ezikhulu. Xa sisetyenziswa kulwakhiwo, kuthiwa isakhiwo senziwe ngokusebenzisa 'uyilo olungcwele.'
Amanqaku afanelekileyo- Izikhumbuzo ezilishumi eziMangalisayo ngeRatio yeGolide
- Iimpawu zeYin Yang kubugcisa nakwiifoto
- Imizekelo emangazayo yobuGcisa bobuGcisa baseJapan
Umzekelo woxande lwegolide: IParthenon
UPhidias, umkroli waseGrisi, wasebenzisa iRatio yeGolide emsebenzini wakhe, ngakumbi xa wayeqala ukusebenza namaqela awaqingqayo ngaphezulu kweentsika zeParthenon. Kukwabalulekile ukuba uqaphele ukuba inani lamanani elinikezelwe kwi-Golden Ratio, Phi, labizwa ngembeko yakhe.
Ukuba ulinganisa ubungakanani bangaphandle beParthenon, uya kufumanisa ukuba ayisiyiyo kuphela iRangleangle egolide, kodwa zininzi kwakhona iiRectangles zeGolide phakathi kweekholamu. Ukusetyenziswa kwengxelo yeGolide yeRatio kubukrelekrele kunye nobuhle balo mzekelo wobugcisa obungcwele.
Umzekelo woNxantathu weGolide: IPiramidi enkulu yaseGiza
Umgangatho wegolide, unxantathu wegolide kunye noonxantathu begolide unokufumaneka kwimfezeko yenye yeziMangaliso ezisixhenxe zehlabathi. IPiramidi enkulu yaseGiza . Ukufumana iRatio yeGolide, kuya kufuneka unqumle isiseko sesikwere sepiramidi kwaye uzobe umgca othe nkqo ukuya kwiziko lephiramidi. Xa oku kudityaniswe kwicala le-angled lephiramidi, unokubona ngokulula ukuba iyenza njani iGolden Triangle enomlinganiselo we-1.62, iGolide Ratio.
ungamcela njani umntu akutshate
Eminye imizekelo yoyilo
Unokufumana imizekelo emininzi yakudala yoyilo olungcwele lwangoku olunayo iRhafu yeGolide kuyo:
- IChartres Cathedral-iZiko, eFrance
- I-Notre Dame -Paris, eFrance
- Iveranda yeentombi - iAcropolis, eAthene
- UTaj Mahal-Agra, eIndiya
- Isakhiwo seZizwe eziManyeneyo-kwisiXeko saseNew York, eNew York
Imizekelo yeNqanaba leGolide kubuGcisa
Unokufumana imizekelo emininzi ngabapeyinti abaziintloko abaqonda kwaye basebenzise umlinganiso wegolide. Le misebenzi yemfezeko yenziwa kusetyenziswa umlinganiso weeRangqa eziGolide kunye nooNxantathu abaGolide. Ubugcisa obenziwe ngokusekwe kwi-Golden Rectangle bubonakalisa ukuba buyathandeka ngakumbi kwiliso lomntu. Yenye yeemfihlelo ezingqonge eli xande lihle kunye noMgangatho weGolide.
Sebenzisa iRatio yeGolide yoBunjineli
Kuyaziwa ukuba ngaphakathi koxande lwegolide kukho iindawo ezithile ezibonakala zibonakala kunezinye iindawo. La manqaku afunyenwe ngokuzoba umgca osuka kwikona esezantsi yoxande uye kwikona ejongene nayo kwaye uyiphinda ngenye ikona esezantsi. Le migca iya kudibana kwiziko ngqo loNxantathu weGolide. Emva koko, ulinganise umgama ophakathi kumgca ngamnye ukusuka kwindawo esembindini. La manqaku mane abizwa ngokuba yi Amehlo oxande (iGolide Ratio) . Eyona nto kugxilwe kuyo kupeyintwa emva koko kuzotywe okanye kupeyintwe ngaphakathi kwezi ndawo zomdla.
Ubugcisa obunomdla weGolide
Imizekelo yobugcisa obubonisa iRatio yeGolide ibandakanya:
Indawo efanelekileyo yokuthenga iwayini kwi-intanethi
- Ibhotile - Ukuzalwa kukaVenus
- ULeonardo Di Vinci - UMona Lisa , Indoda yaseVitruvian
- UMichelangelo - Usapho Olungcwele ', UDavide ''
- URafael - Ukubethelelwa emnqamlezweni
- Rembrandt - Umzobo wakho
- USalvador Dali - Umthendeleko weSidlo sokugqibela , Ukuqhubeka kweMemori
Ukulinganiswa kwegolide kuMculo
Umculo ubunjwe lixabiso lamanani kwaye xa iRatio yeGolide isetyenziselwa ukwenza isiqwenga somculo, iba ngumzekelo ophilayo wezibalo. Ukulandelelana kweFibonacci kuxhaphakile kwi umculo :
- Kukho amanqaku asibhozo kwisikali.
- Inqaku lesithathu nelesihlanu sisiseko seendlela.
- Ubude, okanye i-octave, yalo naliphi na inqaku linamanqaku ali-13.
Ukulandelelana kuyaqhubeka kwisiqwenga somculo kwaye kuya kusiba nzima ngakumbi njengoko kufikelela kwiRatio yeGolide.
liphi elona xesha lilungileyo lokuzala inja kumjikelo wobushushu bayo
Abaqambi abasebenzisa iRatio yeGolide
Abaqambi abambalwa beklasikhi basebenzise iRatio yeGolide kunye nokuLandelelana kweFibonacci kumaculo omculo kubandakanya iBach, Beethoven, Chopin neMozart. Abanye abaqambi banamhlanje bathanda Icasey Mongoven baphonononge ezi nyani zindala kumculo wabo.
Ukulinganiswa kweMizekelo yeGolide kwiNdalo
I-Nautilus yolwandle A Fibonacci Spiral zinokwenziwa ngokusebenzisa umlinganiso wegolide. Le yinto efumaneka kwindalo. Amagqabi esityalo akhula kangangoko anakho ukukhulisa isiqu. Igqabi elitsha lifumaneka kuphela emva kokuba iqhubekile.
- Cacti yomoya
- Iminyele yomoya
- Oojongilanga
Iintyatyambo ezilandelelana ngokulandelelana kweFibonacci
Ezinye iintyatyambo ezineentyatyambo zeentyatyambo ezilandelelana ngokulandelelana kweFibonacci:
- Amagumbi amathathu: Iris, inyibiba,iiorchid, kwiitrilium
- Iipalali ezintlanu: Ii-Buttercups, geraniums, hibiscus, uzuko lwakusasa, i-nasturtium
- Amagqabi asibhozo: KwiiDelphiniums
- Iipalali ezili-13: Iindidi ezithile zedaisy, ragwort, marigold
I-Fibonacci Spiral kwiiPinecones
Kuxhomekeka kuhlobo lomthi, unokubona umlinganiso weGolide usebenza ngaphakathi kuthotho lweenombolo zeFibonacci kwiipinecone. Unokufumana uthotho lwezinto ezisibhozo ezijikelezayo kwelinye icala le-pinecone ene-13 yomoya kwelinye. Enye ipinecone ipateni inezinto ezintlanu zokujikeleza kwelinye icala zinesibhozo kwelinye.
IFibonacci kwezinye izityalo
Ipateni eyahlukileyo yenaninaphine yenziwe ngemilo ediagonal kunye nesibhozo esihamba kwicala elinye ne-13 kwelinye icala.
Ukulinganiswa kwegolide kuBantu
Lo mlinganiselo ubalulekile hayi kwindlela abantu abajonga ngayo, kodwa nakwindlela imizimba yabo esebenza ngayo.
ukubeka phi iviniga ngaphambili kwewasher yomthwalo
Abantu kunye noMxholo woBuhle
Umzimba womntu kunye nolwakhiwo lobuso zithathwa njengezintle ukusondela kweempawu kunye nolwakhiwo lwethambo kwiGolide yeRatio. Inani lesihlanu kunye ne-phi lifunyenwe liyisiseko somzimba womntu.
I-DNA ityhila ubungakanani beGolide
Omnye wemizekelo emangalisa kakhulu yeRhafu yeGolide ifumaneka ngaphakathi komntu Ubume beDNA . Oku kunokubonwa kwicandelo elinye le-DNA enqamlezayo ebonisa ukuba i-DNA kabini i-helix yenza imilo ye-decagon. Olu ludibaniso lwepentagon ezimbini, ezijikelezisiweyo iidigri ezingama-36 zivela kwenye nganye zenza i-DNA kabini i-helix I-helix ephindaphindayo yona ngokwayo yenza ipentagon. Nokuba imolekyuli enye ye-DNA ityhila isiseko seCandelo eliGolide okanye isiQinisekiso sikaThixo.
IMathematika engasemva kweRatio yeGolide
Inkqubo ye-Ukulinganiswa kwegolideinokufumaneka kubomi bokwenyani. Yi inyani yemathematics esetyenziselwa ukuchaza into eyaziwa njengeyona nombolo igqibeleleyo efumaneka kwindalo eye yaphindwa kwaye yaxeliswa ngabantu kwiinkulungwane. Ubuhle obulula beli nani buthintela ukuntsokotha kwenkqubo. Ukuqonda ithiyori esemva kweRatio yeGolide, kufuneka uqale uphonononge ukulandelelana kweFibonacci yomlinganiso.
Ukulandelelana kweFibonacci kunye noMgangatho weGolide
Inkqubo ye-Ukulandelelana kweFibonacciokanye uthotho inobudlelwane kwiRatio yeGolide. Uthotho lweFibonacci lubonisa inani lamagqabi kwisityalo kunye nenani lamagqabi entyatyambo. I-Fibonacci Spiral, efumaneka kwindalo, ihlala iyinxalenye yoxande lweGolide ngeRatio yeGolide.
Udidi lweFibonacci Series math ilula:
- Ulandelelwano luqala ngo-0 no-1.
- Yongeza nje amanani amabini okugqibela kunye ukufumana inani elilandelayo kuthotho.
- 0 + 1 = 1, 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5, 3 + 5 = 8, njalo njalo.
- Umzekelo weFibonacci Series uba: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, njalo njalo.
Ubudlelwane beFibonacci kwiRatio yeGolide buqapheleka xa bongezwe phambili, phambili nangakumbi. Okukhona usongeza kuthotho, kokukhona uya usiya kufikelela kwiRatio yeGolide.
Ukwenza uxande lwegolide kunye nonxantathu
Ukwenza uxande lwegolide ngokulandelelana kweFibonacci, uqala ngesikwere. Uya kuqala ukwakha uxande ngokongeza esinye isikwere kwisikwere sokuqala. Khumbula ukusebenzisa ifomula: 0 + 1 = 1 sisikwere sokuqala, 1 + 1 = 2 - uyakongeza esinye isikwere. 1 + 2 = 3 uzakongeza izikwere ezintathu kwaye ngokulandelayo, 2 + 3 = 5, uzakongeza izikwere ezintlanu. Uya kuqhubeka ukongeza izikwere kwaye ekugqibeleni wenze uxande lwegolide.
Unxantathu wegolide unokwenziwa ngokujonga iRectangle egolide ukusuka kwikona enye ukuya kwikona ejongene nayo. Oku kudala unxantathu apho amacala ayo amathathu okanye iiengile zinenqanaba elingu-2: 2: 1, okuthetha ukuba amacala amabini amade ayalingana ngobude kwaye i-engile emfutshane ilingana nesiqingatha kubude bezi zimbini zide.
loluphi uphawu oluhambelana negemini
Ukulinganiswa kwegolide kungokobuthixo
Umgangatho wegolide uhlala ubizwa ngokuba yi-Divine Ratio. Kulula ukuqonda ukuba kutheni le meko yemathematics ithathwa njengevela kuThixo. Ubunzima kunye nobukho obungaguquguqukiyo beRatio yeGolide kuyo yonke indalo iyamangalisa kwaye ishiya umhlaba wothukile.
