Koj puas muaj ib tug zoo nkauj lawv cov kev cai? Golden Section thiab symmetry

Lub tswvyim ntawm "kev zoo nkauj", raws li peb paub, nyob rau hauv lub abstract. Qhov tseeb yog, seb kev zoo nkauj nws muaj nws tus kheej cov kev cai, nrog rau cov neeg feem coob xav tias ib tug ntev lub sij hawm. Sib cav tswv yim nyob rau hauv no lub ntsiab lus niaj hnub no. Tab sis tseem, yog ib co tej yam ntuj tso, immutable kev cai ntawm kev zoo nkauj muaj, uas yuav tsum tau ntaus nqi raws li feem ntau txais? Los yog nws lub tswvyim yog ib tug neeg nyob rau hauv lub ntuj? Yuav ua li cas yog kev sib raug zoo? Symmetry thiab asymmetry? Nyob rau qhov no thiab lwm yam uas muaj peb yuav sim qhia nyob rau hauv no cov ntaub ntawv uas.

Kev zoo nkauj nyob rau hauv kev cai lij choj rau lub kos duab ntawm lub ancient ntiaj teb no

Nyob rau hauv thaum ntxov lub sij hawm, qhov kaj ntug ntawm tib neeg zej zog, thiab cov Iyi thiab Suav sib raug zoo lej substantiated los mus faib kev sib raug zoo thiab feem raws li cov mis mos ib / b = b / (a + b), qhov chaw uas ib tug yog tsawg tshaj li b. Lub Greeks ntaus nqi qhov kev sib raug zoo nrog lub tswv yim ntawm "kev ntsuas" thiab "kev sib raug zoo", deriving los ntawm qhov no "tso cai raznoglasnogo" thiab tej ntsiab cai ntawm cov suab paj nruag thiab suab. Lub sib npaug hauv daim ntawv ntawm - faib ib tug nqi ntawm ib qho ratio ntawm 62% thiab 38% - tus xov tooj yog tas rau 1,62.

Tus Golden seem nyob rau hauv kos duab thiab architecture

Koj puas muaj ib tug zoo nkauj lawv cov kev cai, peb yuav kawm txog cov piv txwv ntawm lub ntiaj teb kos duab keeb kwm. Lub proportions ntawm ntau ntawm cov pyramids nyob rau hauv ancient Egypt sib haum mus rau cov kev cai ntawm "Golden seem". Nws kuj feem ntau yog siv nyob rau hauv qhov siv thiab ua tsev neeg khoom, decorations, bas-reliefs (los ntawm txoj kev, nyob rau hauv cov kev phem ntawm no, raws li rau lub tswv yim chaw xaiv tsa, ntau cov neeg niaj hnub no ntseeg hais tias cov proportions tshaj ncua).

Leonardo da Vinci thiab ntau lwm yam nyuab consciously siv cov "divine kev faib ua feem" thiab ratios. Tam sim no zaum no pom tias tag nrho cov ntug, los ntawm lub microcosm rau galaxies nyob rau hauv Feem ntau, ua raws li txoj kev cai no ntawm kev zoo nkauj. Nyob kab mob kuj muaj lub "golden seem". Qhov no txoj cai - universal. Kev faib ua feem yog ib yam ntawm cov txheej txheem, matrix. Ib tug txawv los ntawm nws - es kos rau txoj cai, lees tias kev cai lij choj (tshwm sim los, piv txwv li, adaptation rau lub cheeb tsam).

Symmetry thiab asymmetry

Koj puas muaj ib tug zoo nkauj lawv cov kev cai, peb yuav tau soj ntsuam los ntawm kev kawm phenomenon ntawm symmetry. Cov tswvyim no yog pom nyob rau hauv ntau qhov chaw ntawm tib neeg kev ua si. Nyob rau hauv kev - nyob rau hauv kos duab thiab architecture. Yuav ua li cas yog nws?

Neeg txhais lus los ntawm Greek - proportionality los yog immutability. Thiab kuj - lub ordering, proportionality. Cov no yog cov ntsiab yam ntxwv ntawm cov tswvyim no. Nyob rau hauv lub animate thiab tswg xwm ntawm no phenomenon yog haum zoo tsim, thiab nws muaj peev xwm feem ntau yuav cai. Ib tug piv txwv - tus tis ntawm ib tug npauj npaim los yog ib tug tsim ntawm ib tug tib neeg lub ntsej muag. Txawm li cas los, nyob rau hauv lub qhov ntawm lub teeb yog tsis tiav, tsis yog. Thiab zoo ib yam li txhua lwm qhov chaw yuav tsis tib yam nrog tsis precision.

Nyob rau hauv kev kawm txog zauv thiab geometry, rau lwm cov tes, cov tswvyim no nce mus txog tus tsis muaj nuj nqis. Yog li, nyob rau hauv lub geometry ntawm symmetry yog lub peev xwm los tso saib cov nuj nqis, uas khaws nws zoo lawm thiab zog. Roughly hais lus, ib tug symmetrical daim duab yog suav tias yog, nyob rau hauv ib tug linear transformation tig mus rau nws tus kheej.

Symmetry nyob rau hauv cov kawm Askiv

Lub tswv yim ntawm meej linear daim ntawv qhia permeates kos duab rau ntawm ancient Greece. Nco ntsoov nruj me ntsis symmetrical rho los ntawm ancient monuments, tej khoom (xws li Greek vases). Feem ntau cov kom meej meej no tshwm sim yog thaws rov los nyob rau hauv lub ornaments ntawm ntau haiv neeg ntawm lub ntiaj teb no. Thaum sib txawv lub sij hawm lub tswv yim ntawm symmetry nyob hauv cov dluab - consciously los looj hlias - siv los ntawm ntau painters thiab sculptors. Lub uniformity yog yus muaj los ntawm repetitions, txawm rau qhov ncauj thiab songwriting, txij ancient sij hawm. Yog li, cov lus nug: "Koj puas muaj lawv tus kheej cov kev cai ntawm kev zoo nkauj" yuav teb tau hais tias ib tug ntawm lawv - lub symmetry. Los ntawm txoj kev, lub asymmetry nyob rau hauv tej hauj lwm ntawm ib co ntxias (Picasso, Dali thiab ib co lwm tus neeg), raws li ib qho kev zam rau txoj cai, tsuas yog qhia ntau txog kev cov nyhuv uas cov yooj yim kev cai lij choj.