Umlinganiselo wegolide ungowaloo nto kanye intyatyambo yoBomi okanye imizimba yeplatonic yejometri engcwele kwaye, njengale miqondiso, imele umfanekiso wendalo ekhoyo kwindawo yonke.Ngaphandle kwemithetho yendalo yonke kunye neminye imigaqo yecosmic, indalo nayo ibonakaliswa kwezinye iindawo. Umfuziselo wobuthixo kulo mongo ubukho kangangamawaka eminyaka yaye uye wabonakala ngokuphindaphindiweyo ngeendlela ezahlukeneyo. Ijometri engcwele iphinda ichaze iziganeko zemathematika kunye nejometri ezinokubonakaliswa ngokulandelelana kokugqibeleleyo, iimpawu ezimele umfanekiso womhlaba ohambelanayo. Ngesi sizathu, ijometri engcwele ikwaquka imigaqo yokudibanisa okufihlakeleyo. Kubonisa kuthi bantu ukuba kukho imilo yendalo kunye neepateni ezimele imbonakalo yecosmos enamandla ngenxa yokuphelela nokugqibelela kwazo.

Iipateni zejometri ezingcwele kumaxesha amandulo

Ijiyometri engcwele yayisele isetyenziswa ngendlela ekujoliswe kuyo ziinkcubeko ezahlukeneyo zakudala eziphucukileyo zokwakha izakhiwo ezibalaseleyo nezizinzileyo. Kukho iisimboli zobuthixo ezingenakubalwa, zonke eziphethe kwaye zibonisa umgaqo wobomi ngendlela yazo. Ipateni eyaziwa kakhulu nguThixo, imathematika evela ngokuphindaphindiweyo kwindalo kubhekiswa kuyo njengecandelo legolide. I-golden ratio, ekwabizwa ngokuba yi-phi okanye i- divine division, sisiganeko semathematika esibonakala kuyo yonke indalo. Ngamafutshane, libonisa unxibelelwano phakathi kwezixa ezibini. Inombolo Phi (1.6180339) ithathwa njengenani elingcwele kuba liquka isakhiwo sejometri yazo zonke izinto eziphathekayo kunye nobomi obungabonakaliyo. Kwizokwakha, icandelo legolide, elifumene ingqalelo encinci ukuza kuthi ga ngoku, linentsingiselo ekhethekileyo. Ngayo, izakhiwo zinokwakhiwa, okokuqala, zikhazimle imvisiswano enkulu kwaye, okwesibini, zinokuhlala amawaka eminyaka. Oku kucaca ngakumbi xa ujonga iiPiramidi zaseGiza, umzekelo. Iiphiramidi zaseGizeh kunye nazo zonke izakhiwo ezinjengephiramidi (iitempile zamaMaya) zinesakhiwo esikhethekileyo. Zazakhiwe kusetyenziswa iifomyula zePi kunye nePhi. Kwaba kuphela ngoncedo lwesi sakhiwo sikhethekileyo apho iiphiramidi zazikwazi ukuphila iminyaka engamawaka ngaphandle kokuba zibe brittle okanye zingazinzi kwisakhiwo sazo sonke, nangona zachatshazelwa ubuncinane ziinyikima ezinkulu ezi-3 kwixesha elidlulileyo. Ngaba ayimangalisi into yokuba kukho izakhiwo zamandulo ezakhiwa ngokugqibeleleyo ukuya kutsho kwezona nkcukacha zincinane yaye zazinokuphila ixesha elide kangako zingaboli nangayiphi na indlela? Ukuba isakhiwo esisusela kwixesha lethu besishiywe singalungiswa kangangeenkulungwane, eso sakhiwo kuthethwa ngaso besiya kuba sidilika size sidilike. Enye into enomdla kukuba ngokwembali yethu, amanani pi kunye ne-phi ayengaziwa ngelo xesha. Iimbekiselo zokuqala kwinani lesangqa esinguPi zafunyanwa kwiPapyrus Rhind, isicatshulwa samandulo semathematika saseYiputa esasukela emva malunga no 1550 BC. kuqikelelwa. Icandelo legolide elithi Phi laziswa okokuqala yingcali yezibalo yamaGrike uEuclid malunga no-300 BC. ibhalwe ngokwenzululwazi. Nangona kunjalo, ngokwesayensi yethu, iiphiramidi zaziqikelelwa ukuba zingaphezu kweminyaka engama-5000 ubudala, nto leyo ayihambelani nobudala bokwenyani. Malunga nobudala obuchanekileyo, kukho kuphela imithombo engachanekanga kakhulu. Nangona kunjalo, umntu unokuthatha iminyaka engaphezu kwe-13000 yeminyaka. Ingcaciso yolu qikelelo inikwa ngu umjikelo wecosmic.

Inyaniso malunga neephiramidi zaseGiza

Ngokubanzi, iiphiramidi zaseGizeh zinokungahambelani okuninzi, konke oku kuphakamisa imibuzo emininzi engaphendulekiyo. KwiPiramidi eNkulu yaseGizeh, ekwabizwa ngokuba yiPiramidi yeCheops, ithafa elinamatye elisi-6 lilonke lebala lebhola ekhatywayo lagatywa phambi kokwakhiwa emva koko landlalwa ngeebhloko ezinkulu zamatye ezinobunzima obungaphezulu kwetoni enye. Kwiphiramidi ngokwayo, ngaphandle kwe-1 - 103 yezigidi zeebhloko ze-limestone, iibhloko ze-granite eziyi-2.300.000 zakhiwa, ezinobunzima obuphakathi kwe-130 kunye ne-12 yeetoni. Zakhukuliseka kwinduli enamatye kumgama oziikhilomitha ezingama-70. Ngaphakathi kwiphiramidi kukho amagumbi okungcwaba ama-800, apho igumbi lokumkani lalisebenza ngokugqibeleleyo ngokuthe tye nangokuthe nkqo. Ukuchaneka kwishumi loluhlu lwe-millimeter kwaphunyezwa. Iphiramidi yeCheops, kwelinye icala, inamacala asi-3, njengesiqhelo, kuba imiphezulu emi-8 i-engile kancinane, leyo ngokuqinisekileyo ayiyosiphumo samathuba, kodwa ngenxa yomsebenzi wokwakha owenziwe ngamabom. Enye inyani eyothusayo yeyokuba itonela elibude obuzimitha ezili-4 liye lakrolwa kwilitye. Esi sakhiwo sikhulu sakhiwa kwiminyaka nje engama-100 yaye amaYiputa amandulo ayengayazi intsimbi, singasathethi ke ngentsimbi. Oku kuphakamisa umbuzo onzulu wokuba amaJiphutha elo xesha, ngokwembali yethu ayengabantu abahlelelekileyo, benezixhobo zamatye kuphela, iitshizili zobhedu kunye neentambo zehemp, bawulawula njani lo msebenzi uphantse ungenakwenzeka? Ewe, oku kwakunokwenzeka ngenxa yokuba iiPyramids zaseGiza azakhiwanga ngabantu abalula bamandulo kodwa yimpucuko yangaphambili. Inkcubeko ephezulu eyayikude lee kwixesha lethu kwaye yayiqonda umlinganiselo wegolide kakuhle (Inyaniso malunga neephiramidi zaseGiza). Abantu bezi nkcubeko ziphakamileyo babengabantu abazi ngokupheleleyo abayiqondayo i-cosmos enamandla ukuya kwimfezeko kwaye babeyazi ngokupheleleyo izakhono zabo ezininzi. Nangona kunjalo, icandelo legolide linezinye iimpawu ezinomdla. Enye yazo ibonakala xa wolula naliphi na icandelo kunye Phi rhoqo kwaye usebenzise amacandelo isiphumo njengoko amacala uxande oluhambelanayo. Oku kudala into ebizwa ngokuba nguxande lwegolide. Uphawu olukhethekileyo loxande lwegolide kukuba unokwahlula esona sikwere sikhulu sinokubakho kuso, nto leyo eya kuthi idale olunye uxande lwegolide. Ukuba uphinda esi sikimu, iirectangles ezincinci ezincinci zegolide zenziwe kwakhona kwaye kwakhona. Ukuba ngoko uzobe isangqa sekota kwisikwere ngasinye esinesiphumo, isiphumo yi-logarithmic spiral okanye igolden spiral. I-spiral enjalo ngumfanekiso we-Phi rhoqo. Ke i-phi inokubonakaliswa njenge-spiral.

Le spiral Ngokulandelayo yimbonakaliso encinci kunye ne-macrocosmic yomoya wokudala okhoyo kwindawo yonke kwaye inokufumaneka kuyo yonke indawo kwindalo. Apha isangqa sivala kwakhona. Umntu ekugqibeleni ufikelela kwisigqibo sokuba indalo iphela yinkqubo ehambelanayo necingelwe ngokugqibeleleyo, inkqubo eqhubeka izibonakalisa ngeendlela ezahlukeneyo kodwa eziphelelisanayo. I-Phi iyinto ekhoyo rhoqo ebomini bonke. Luphawu olumele indalo engenasiphelo negqibeleleyo. Ngale ndlela hlala usempilweni, wonwabe kwaye uphile ubomi obuvisisanayo.