Tus Golden seem nyob rau hauv kev kawm txog zauv

zoo ntawm tus kwv, uas yog raws li nyob rau hauv lub ratio ntawm cov golden piv li pov thawj los ntawm psychologists thiab daim ntawv thom nug, yog dab tsi los ntawm tus txiv neej raws li kev zoo nkauj thiab sib raug zoo. Tus Golden seem nyob rau hauv kev kawm txog zauv - nws yog ib tug faib ntawm ib feem ntawm lub ya, thaum tag nrho cov ya siv rau feem ntau ntawm cov kev feem ntau ntawm cov lesser qhov chaw.

Nws yog ntseeg hais tias lub tswvyim ntawm tus Golden seem ua ntej nkag tau los ntawm Pythagoras. Muaj yog speculation hais tias nws nws paub txog dab tsi lub golden seem nyob rau hauv kev kawm txog zauv thiab tsis tsuas muaj, tab sis kuj nyob rau hauv architecture, painting, kos duab thiab ntau ntau lwm yam, coj los ntawm cov Npanpiloo Egyptians. Nyob rau hauv qhov tseeb, lub kev faib ua feem ntawm lub tuam tsev, pyramids ntawm Cheops, ib co tsev neeg cov khoom qhia tias tus masters ntawm tim lyiv teb chaws siv tus piv ntawm cov golden piv nyob rau hauv lawv cov kev tsim kho thiab raug.

Plato, dhau lawm, yog paub hais tias lub golden seem. nws chaw nyob tej teeb meem hais txog qhov zoo nkauj thiab xaam yam ntawm lub Pythagorean tsev kawm ntawv, nrog rau cov teeb meem ntawm lub golden piv nyob rau hauv lub "Timaeus" lawv sib tham.

Lub proportions ntawm lub façade ntawm tus Parthenon tuam tsev yog muab sau rau hauv lub xub ntiag ntawm lub kub division. Thaum lub sij hawm lub excavation ntawm lub tuam tsev compasses twb pom, uas yog siv los ntawm sculptors thiab architects ntawm ancient Greece. Raws li pom nyob rau hauv Pompeii compass, uas yog tam sim no nyob rau hauv lub tsev cia puav pheej nyob rau hauv Naples, kuj nteg lub divine kev faib ua feem.

Tus thawj mention ntawm lub kub faib nyob rau hauv ancient cov ntaub ntawv, extant, yuav muaj nyob rau hauv lub "Hais" ntawm Euclid, uas muab kev siv ntawm cov golden seem geometrically.

Nyob rau hauv medieval teb chaws Europe, cov golden seem secrets khaws cia nyob rau hauv nruj secrecy, ua tib zoo fwm. Lawv yuav tsum paub tias tsuas mus rau cov pib.

Thaum lub sij hawm Renaissance paj nyob rau hauv lub kub faib qab. Great artist thiab paub txog Leonardo da Vinci, ntawm chav kawm, yuav tsis tsis tau paub txog los ntawm Vajtswv txoj kev faib ua feem thiab siv nws nyob rau hauv lawv tej hauj lwm. Nyob rau hauv tas li ntawd, nws pib mus rau sau ib phau ntawv nyob rau hauv geometry, qhov twg nws xav kom koj qhia cov kev xav ntawm lub golden ratio, tab sis nws yog ua ntej ntawm ib tug haujsam thiab ib tug zoo mathematician Italian Luca Pacioli, uas nyob rau hauv Venice nyob rau hauv 1509 luam tawm hauv phau ntawv "Lub Divine kev faib ua feem".

Medieval mathematician Leonardo Pizansky (yug ca. 1170 -.... siab ca. 1250), zoo dua lub npe hu ua Fibonacci, yog ib tug ntawm tus naas ej kws tshawb fawb ntawm lub sij hawm. Rau cov thawj lub sij hawm nyob rau hauv Teb chaws Europe, nws siv es tsis txhob ntawm Roman numerals Arabic thiab nrhiav tau ib series ntawm cov zauv nyob rau hauv kev kawm txog zauv, tom qab ntawd hu ua Fibonacci lub npe. Nws zoo li no: 1,1,2,3,5,8,13,21, ... thiab thiaj li nyob. Cov kab sab ntawm cov zauv no yog hu ua tej zaum Fibonacci tooj. Golden Section yuav pom ntawm no. Nws yuav pom tias nyob rau hauv txhua tus ntawm cov theem zuj zus tus xov tooj raws li nram no, yog hais tias tus yav dhau los ob npaug kiag. Yog hais tias peb faib txhua lub sij hawm ntawm no zoo kawg li ib theem zuj zus ntawm yav tas los ib tug, peb tau txais ib gradual mus kom ze rau lub Fibonacci tooj (P = 1,6180339 ...). Qhov no yog qhov golden piv Fibonacci tooj qhia F. Qhov no muaj pes tsawg tus, raws li zoo-paub pi = 3,1415 ... tsis muaj ib tug leej tus nqi. Tom qab tus zauv point tus xov tooj ntawm tug lej tom qab yog infinite. Yog li ntawd nws ua lub golden seem nyob rau hauv kev kawm lej. Yog li pib cov zauv thiab tsis tsuas txuj ci tseem ceeb. Yog hais tias peb faib txhua lub sij hawm ntawm ib theem zuj zus mus rau lub tom ntej no, peb tau txais cov xov tooj 0, 6180339 ... Miracles tshwm sim dua - tom qab tus zauv point xov tooj rov qab ua raws nraim tag nrho cov xov tooj ntawm F, cia li ua ntej lub comma yuav tsum tsis txhob 1 tiam sis 0. Tej zauv paradoxes no heev npaum li cas. Thiab qhov no yog tsuas yog thaum pib. Tus Golden seem nyob rau hauv kev kawm txog zauv thiab tsis tsuas yog nws ua hauj lwm cov kev xav, tab sis tej zaum peb tsis pom.

Nws tseem yog nyob rau hauv architecture thiab nyob rau hauv cov suab paj nruag, kev kawm txog zauv, paj huam, economics, thiab nyob rau hauv cov qauv ntawm cov nroj tsuag nyob rau hauv lub lag luam Tshuag, nyob rau hauv lub proportions ntawm tib neeg lub cev thiab lub cev ntawm cov tsiaj, kauv qwj hauv macro thiab microcosm, lub ntug thiab hais txog, infinity ...

Yog li ntawd, peb yuav hais tsis xav hais tias Golden piv (Golden Section, Divine kev faib ua feem) yog tam sim no ntawm txhua theem ntawm lub ntug.