Yuav ua li cas koj yuav tsum paub txog Penrose daim duab peb sab?

Tsis yooj yim sua yog tseem tau. Thiab ib tug tawm kev paub ntawm qhov tseeb - Penrose tsis yooj yim sua daim duab peb sab. Qhib nyob rau hauv lub xyoo pua xeem, nws yog tam sim no feem ntau pom nyob rau hauv scientific ntaub ntawv. Thiab raws li yog hais tias nws yuav sound ceeb, tab sis nws txawm yuav ua rau koj tus kheej. Thiab yuav ua rau nws ib tug snap. Muaj ntau cov kiv cua kos los yog collect origami tau ntev lawm tau ua rau nws.

Lub ntsiab lus daim duab peb sab Penrose

Muaj ob peb npe ntawm daim duab. Ib txhia hu nws tsis yooj yim sua daim duab peb sab, lub lwm - cia li tribar. Tiam sis ntau tshaj feem ntau nws yog ua tau kom tau raws li lub ntsiab txhais ntawm "Penrose daim duab peb sab".

Yog meant los ntawm cov ntsiab lus, yog ib lub yooj yim tsis yooj yim sua nuj nqis. Judging los ntawm lub npe, ces tau txais ib tug zoo li daim duab nyob rau hauv kev muaj tiag tsis yooj yim sua. Tab sis nyob rau hauv kev xyaum, nws twb tau qhov tseeb hais tias ua li ntawd yog tseem tau. Nov yog tus duab ntawm ib daim duab peb sab zoo yuav noj thaum koj saib nws los ntawm ib tug tej yam taw tes rau ib tug txoj cai kaum sab xis. Nyob rau tag nrho lwm cov tog hauv daim duab yog heev tiag tiag. Nws muaj peb lub voos xwmfab npoo. Thiab kom ib tug uas zoo sib xws siv yooj yim.

Keeb kwm ntawm foundations

Penrose daim duab peb sab sab rov qab nyob rau hauv 1934 los ntawm cov artist los ntawm Sweden Oscar Reutersvärd. Tus naj npawb tau muab nyob rau hauv daim ntawv ntawm lub dho pob. Nyob rau hauv lub neej yav tom ntej, cov artist lub npe hu ua "txiv ntawm tsis yooj yim sua nuj nqis."

Tej zaum nqus Reutersvärd yuav tseem yuav nyob nraim. Tab sis nyob rau hauv 1954 lub Swedish mathematician Rodzher Penrouz sau ib tsab xov xwm hais txog tsis yooj yim sua nuj nqis. Nws yog tus thib ob yug me nyuam ntawm daim duab peb sab. Txawm li cas los, zaum tau hais nws nyob rau hauv ib tug ntau paub daim ntawv no. Nws siv tsis muaj cib thiab kab teeb. Lub peb beams koom ua ke nyob rau ntawm ib lub ntawm 90 degrees. Qhov txawv yog kuj hais tias Reutersvärd siv thaum uas tig mus foundations thaum lub teeb duab. Ib tug Penrose thov lub sij hawm linear cim, uas tau muab rau hauv daim duab txawm ntau heev. Qhov no daim duab peb sab twb luam tawm nyob rau hauv 1958 nyob rau hauv ib tug ntawm cov British Journal ntawm Psychology.

Nyob rau hauv 1961, cov artist Maurits Escher (Netherlands) tau tsim ib tug ntawm nws nto moo tshaj plaws lithographs "Dej tsaws tsag". Nws yog tsim los nyob rau hauv lub tswv yim hais tias nws yog tshwm sim los ib tsab xov xwm hais txog tsis yooj yim sua nuj nqis.

Nyob rau hauv lub eighties ntawm lub xyoo pua xeem tribar thiab lwm yam tsis yooj yim sua nuj nqis xwm li nyob rau nqi xa ntawv nyiaj muas ntawm lub xeev Sweden. Qhov no ntawd kub ntev li ob peb lub xyoos.

Qhov kawg ntawm lub xyoo pua xeem (los yog ntau tshaj precisely nyob rau hauv 1999) nyob rau hauv teb chaws Australia tau tsim ib tug duab puab ntawm txhuas, depicting Penrose tsis yooj yim sua daim duab peb sab. Nws nce mus txog ib qhov siab ntawm 13 meters. Cov sculptures, tsuas me me nyob rau hauv loj, yog pom nyob rau hauv lwm lub teb chaws.

Tsis yooj yim sua nyob rau hauv kev muaj tiag

Raws li ib tug tej zaum yuav tau guessed, lub Penrose daim duab peb sab nyob rau hauv kev muaj tiag yog tsis yog ib tug daim duab peb sab hauv lub niaj zaus kev txiav txim zoo. Nws nruab nrab yog cov peb ib sab ntawm cov thawv muaj rau sab. Tab sis thaum saib los ntawm ib yam lub, nws puv daim duab peb sab illusion vim lub fact tias lub dav hlau yog tag nrho coincide 2 fab. Dig muag, raws li cov neeg nyob ze ntawm lub beholder thiab cov nyob deb ces kaum.

Yuav tau, peb yuav twv hais tias tribar yog tsis muaj dab tsi ntau tshaj li ib tug illusion. Real zoo ntawm cov nuj nqis yuav muab ib tug duab ntxoov ntxoo ntawm nws. Rau nws yog tseeb hais tias nyob rau hauv qhov tseeb lub ces kaum yog tsis cob cog rua. Thiab, ntawm chav kawm, nws tag nrho cov yuav meej yog hais tias daim duab khaws.

Ua daim nrog lawv ob txhais tes

Penrose daim duab peb sab yuav sib sau ua ke rau koj tus kheej. Piv txwv li, cov ntawv los yog paperboard. Thiab yuav pab tau nyob rau hauv no Circuit Court. Lawv tsuas xav kom luam tawm thiab cov kua nplaum. Ob tug schemes uas hais nyob rau hauv lub hauv internet. Ib tug ntawm lawv yog ib tug yooj yim me ntsis, rau lwm yam - ib tug me ntsis ntau tham, tab sis ntau nrov. Ob leeg yog sawv cev nyob rau hauv cov nuj nqis.

Penrose daim duab peb sab yuav ua tau ib tug interesting cov khoom uas qhua yuav hlub. Nws mas nws yeej yuav tsis mus unnoticed. Thawj kauj ruam los mus tsim nws yog los npaj cov schemes. Nws kis rau tus ntawv (duab los qhia) los ntawm lub tshuab luam ntawv. Thiab ces tej yam uas yog txawm yooj yim. Nws yuav tsum tau tsuas yog txiav raws perimeter. Nyob rau hauv daim duab, twb muaj tag nrho cov tsim nyog kab. Nws yog ntau yooj yim mus ua hauj lwm nrog thicker daim ntawv. Yog hais tias lub Circuit Court yog sau rau ntawm nyias daim ntawv, thiab xav ib yam dab tsi ntau nruj nreem, lub dawb paug yog thov kom muaj ib xaiv cov ntaub ntawv thiab yog txiav raws contour. Hais tias lub tswvyim yog tsis pauv, nws tseem tau mus muab cov clips.

Tom ntej no koj yuav tau qhia hais tias tus kab raws uas cov dawb paug yuav khoov. Feem ntau, nws yog sawv cev nyob rau hauv daim duab ntawm lub dotted line. Khoov nthuav dav. Tom ntej no peb txhais tau cov chaw uas yog yuav tsum tau sib raug zoo. Lawv yog coated nrog dawb cov kua nplaum. Nthuav dav yog kev cob cog rua rau hauv ib daim duab.

Nthuav dav yuav pleev xim rau. Thiab koj yuav chiv siv cov kob duab los qhia.

Kos tsis yooj yim sua daim duab

Penrose daim duab peb sab kuj kos. Yuav pib nrog ib tug yooj yim square yog twv rau ntawm daim ntawv. nws me me tsis tseem ceeb. Nrog rau lub hauv paus rau lub hauv qab sab ntawm ib tug square, ib tug peb tog yog twv. Nws fab yog twv rau hauv lub me me voos. Lawv feem yuav muaj los lwv, tawm hauv tsuas yog tus uas sawv daws yuav uas muaj nrog daim duab peb sab. Cov yuav tsum muaj ib daim duab peb sab nrog truncated cov ces kaum.

Nyob rau Upper sab laug sab ntawm lub qis lub nws yog muaj nyob rau txoj kab ncaj nraim. Cov tib yam kab tab sis me ntsis luv luv, yog twv los ntawm cov hauv qab sab laug ces kaum. Thaum uas tig mus rau lub hauv paus ntawm daim duab peb sab kos ib kab los ntawm txoj cai ces kaum. Tau ib tug thib ob ntsuas.

Raws li lub hauv paus ntsiab ntawm lub thib ob thim ib feem peb dimension. Tsuas yog nyob rau hauv cov ntaub ntawv no, tag nrho cov kab yog raws li nyob rau hauv ib daim duab cov ces kaum yog tsis yog thawj zaug thiab lub thib ob ntsuas.