Daim iav symmetry thiab kev nkag siab ntawm kev zoo nkauj

Raws li peb paub los ntawm lub tsev kawm ntawv chav kawm ntawm geometry, symmetry yuav ua tau ib ntawm peb hom: hauv paus, axial thiab symmetry nrog hwm rau tej dav hlau. Hu central symmetry ntawm tus kwv txheeb ze mus rau lub point (ib tug heev yooj yim piv txwv - tej lub voj voog), axial - symmetry nrog rau ib tug txoj kab ncaj nraim, thiab lub xeem saib ntawm proportionality (tus txheeb ze rau lub dav hlau) yog lub npe hu rau peb raws li daim iav symmetry.

Geometry lej muab peb ntshiab kev los ntawm cov uas peb yuav kom meej meej qhia uas qhov chaw yuav suav hais tias kuas, thiab yog dab tsi - tsis muaj. Txawm li cas los, sib nrug los ntawm lub boring lus muaj lwm parameter tus neeg ntawd ua zoo kev ua yuam kev-free - uas yog kev zoo nkauj.

Txawm lub ancient Greeks pom tias symmetrical khoom xam qhovkev kev sib raug zoo thiab kev zoo nkauj. German mathematician H. Weyl nyob rau hauv nws lub sij hawm sau tau nws "sketches ntawm symmetry", uas cav hais tias lub symmetry thiab kev zoo nkauj yog zoo zoo txog. Raws li nws, dab tsi yog suav tias yog kuas, nws muaj zoo nqi koj tshuav ntawm proportions thiab symmetry ntawm nws tus kheej - nws yog ib tug tshwj xeeb ntawm coherence ntawm tag nrho cov.

Daim iav symmetry nyob rau hauv geometry feem ntau peb nyob qib qub nrog kev uas, tab sis, yog hais tias koj saib ze ze, cov nuj nqis no heev nyob rau hauv cov xwm. Ib txhia ntawm lawv muaj peev xwm yuav pom nyob rau hauv daim ntawv ntawm muaju, rau lwm yam - nyob rau hauv daim ntawv ntawm protozoa los yog kab mob.

Daim iav symmetry yog heev nyob rau hauv architecture. Nws yog tam sim no nyob rau hauv tag nrho cov vaj tse ntawm ancient tim lyiv teb chaws thiab ancient Greece tuam tsev, amphitheaters, basilicas thiab triumphal arches Roman, Renaissance lub koom txoos thiab palaces, raws li zoo raws li nyob rau hauv ntau tej hauj lwm ntawm kev kawm architecture.

Nyob rau hauv cov xwm, rau hauv daim iav symmetry yog cov yam ntxwv ntawm cov tsiaj thiab nroj tsuag uas loj hlob los yog tsiv mus nyob rau thaum uas tig mus rau lub ntiaj teb nto, thiab yog feem ntau pom nyob rau hauv daim ntawv ntawm ib tug thiaj cheeb tsam nyob rau hauv cov dej saum npoo ntawm tus dej, pas dej, thiab lwm yam Ib tug piv txwv yog nws cov yeeb yuj npauj npaim tis qauv uas raws nraim ntais ntawv remarkably.

Thiab tam sim no tig lawv paub rau tus txiv neej. Yog vim li cas ua ib co neeg muaj ib tug lub koob npe nrov los ntawm sau zoo nraug, thiab tag devoid ntawm lwm cov tib neeg attraction? British zaum coj los evolutionary biologist William Brown teem tawm mus ua tau ib tug muaj tseeb lo lus teb rau lo lus nug no thiab ua rau txoj kev tshawb, uas twb tau mus kawm los ntawm 37 hluas cov poj niam thiab 40 cov neeg hluas (a ncauj lus kom ntxaws daim ntawv qhia luam tawm nyob rau hauv lub PNAS ntawv). Thaum xub thawj, tej zaum tau tsim ib tug scanner volumetric peb-dimensional qauv ntawm lub lub cev ntawm txhua tus ntawm cov neeg koom nyob rau hauv qhov kev xeem. Cov soj ntsuam ntawm ces 24 tsis txiav txim yuav ua li cas muaj tseeb daim iav symmetry txhua qauv. Tom qab hais tias, txhua pab dawb twb hais kom npaum lub attractiveness ntawm cov tswv cuab ntawm qhov opposite pw ua niam txiv.

Cov tau kov yeej tag nrho tsis ntseeg. Lub xyaum ua tej yam yuav paub tseeb tias daim iav symmetry ntawm lub cev muaj ib tug ncaj qha feem rau kev zoo nkauj ntawm ib tug neeg. Thiab qhov no yog muaj tseeb rau cov txiv neej thiab cov poj niam.

Ib txhia ntawm no muaj peev xwm yuav xaus lus? Ideals ntawm kev zoo nkauj kev hloov, tab sis nyob rau tib lub sij hawm nyob li qub - tus attractiveness ntawm yog vim li cas cov lus dag nyob rau hauv lub teeb. Thiab qhov no yog muaj tseeb tiag rau txhua yam uas nyob ib ncig peb nyob rau hauv no zoo kawg nkaus lub ntiaj teb no.