Mobius voj - infinite paub tsis meej ntawm peb lub sij hawm

Möbius sawb - ib tug yooj yim tab sis amazing tshaj plaws. Ua nws tau rau ib tug ob peb lub vib nas this, thiab surprises, cov cai thiab thaj chaw ntawm no phenomenon - qhov loj. Yuav kom ua tau qhov no dlaim phaj nyob rau hauv kev xyaum, coj li ib txwm sawb ntawm daim ntawv, kua nplaum, txuas rau lub xaus. Tab sis yeej ib txwm nyob rau hauv xws li ib tug txoj kev uas ib tug kawg muab upside down txheeb ze mus rau lwm yam li ib nrab tig. Ntawm no thiab npaj txhij nto moo Möbius sawb.

Hais txog mysterious ua nto yuav tham endlessly. Nug koj tus kheej yuav ua li cas muaj ntau yam chaw nyob rau hauv daim ntawv lub nplhaib. Ob tug? Thiab ntawm no thiab muaj - nyob ib leeg. Ntsuam xyuas dej no yooj yim heev. Siv ib tug cwj mem los yog xaum rau thiab sim pleev xim ib sab ntawm rau daim kab xev, yam tsis tau cheem thiab tsis tas yuav mus rau sab tod. Tshwm sim? Thiab qhov twg yog qhov unpainted sab? Tus ntawd yog nws ...

Lub npe ntawm rau daim kab xev los ua nws inventor: Lub yim hli ntuj Ferdinand Möbius, ib tug xib fwb ntawm lub tsev kawm ntawv ntawm Leipzig. Nws mob siab rau nws kev ua hauj lwm ntev thiab fruitful lub neej (uas yog 78 xyoo), thiab nws khaws cia rau clarity ntawm lub siab rau qhov kev kho mob. Nyob rau hauv nws 75 xyoo, xibfwb piav cov khoom nws yog ib tug-ib tog nto nrog ib tug khees ob-layered. Txij thaum ntawd los, qhov zoo tshaj plaws minds ntawm geometry, physics, thiab txawm sab ntsuj plig soj ntsuam tus kwv thiab nce thiab nqis.

Koj yog free mus nqa tawm ib co thwmsim, tos ib tug Mobius sawb. Sim mus txiav nws raws, yuav tsum tau preceded by rau hauv nruab nrab txoj kab tshaj tag nrho saum npoo. Koj puas xav hais tias yuav muaj tshwm sim? Ob tug rings ntawm me me dav? Ib zaug ntxiv, tsis muaj tseeb - ib tug! Ob zaug li ntev raws li lub yav dhau los, tab sis lub cov ob zaug. Ntawm no nws yog li cas muaj tau los ua tus ob chaw es ib tug, raws li nyob rau hauv thawj cov ntaub ntawv. Qhov no yog hu ua tus whorl Afghan daim kab xev, nws kuj yog lug paub mus soj ntsuam. Los ntawm txoj kev, nyob rau hauv sab ntsuj plig, qhov no cov nyhuv yog hu ua lub cim ntawm duality thiab txhais tau cov illusory xaav ntawm ib tug tib.

Thiab yog hais tias koj rov ua ib tug longitudinal kab, tab sis tsis nyob rau hauv nruab nrab, tab sis los ze zog mus rau lub ntug ntawm ib feem peb ntawm lub dav ntawm rau daim kab xev? Txiav lub resulting nplhaib, thiab koj muaj nyob rau hauv lawv txhais tes yuav muaj ob tug: ib tug Möbius sawb thiab Afghan daim kab xev, thiab inexplicably, lawv yog txuas nrog txhua lwm yam.

Tab sis hais tias tsis yog tag nrho cov surprises. Sim ntawm tsevneeg daim kab xev rau hauv lub nplhaib rau noj tsis ib tiam sis ob daim ntawv ib daim hlab. Thiab ces peb los yog txawm plaub. Kuv lees tias tshwm sim yuav surprise koj txawm ntau!

Curious kev yuav tsum muab tso rau hypothetically. Noj ib ob Mobius sawb (ie glued ob ib daim hlab), thiab muab tso rau nws tus ntiv tes nruab nrab ntawm lawv (mem hluav, ntoo stick - txawm), peb yuav tsum tau tsav tsheb lawv ntawm rau koj cov menyuam endlessly li pov thawj hais tias cov duab muaj ob cais qhov chaw. Tam sim no xav txog tej yam uas nyob nruab nrab lub ribbons ya crawls. Qab sawb rau nws yuav tsum tau "pw ua niam txiv", lub sab saum toj - "qab nthab", thiab hais txog ad infinitum.

Tab sis nyob rau hauv kev muaj tiag nws tsis yog li ntawd ib qho yooj yim li no mas. Tom qab tag nrho, yog tias koj muab ib lub cim pib ntawm cov lus "nyob rau hauv pem teb" ya, thaum cov tshuaj tua kab yuav ua kom ib lub voj voog, qhov no yog daim ntawv lo yuav twb "nyob rau lub qab nthab." Thiab rov qab mus "rau hauv pem teb", koj yuav tsum tau ua kom lwm tus voj voog.

Xav txog tej yam ua ib tug yoov nkag rau hauv txoj kev. Mus rau sab xis ntawm nws yog nyob rau hauv tsev nyob rau hauv lub txawm-suav thiab sab laug, ntsig txog, nyob rau ntawm lub khib. Siv ib tug taug kev, nyob ib co taw tes, peb traveler yog tag pom tias tus khib xov tooj yog twb nyob rau hauv txoj cai, thiab txawm - mus rau sab laug! Nws yog txaus ntshai rau xav txog tej yam xws li ib tug teeb meem no nyob rau hauv peb tiag tiag txoj kev nrog txoj cai-tes tsheb, vim hais tias tsis ntev yuav tau ntsib nrog rau lwm cov Strolling "lub hauv pliaj-rau-lub hauv pliaj". Ntawm no yog ib tug nws - Möbius sawb ...

Kev siv cov no thiab lwm yam cai lij choj pom tau tias muaj nyob rau hauv lub hypothetical, tab sis kuj nyob rau hauv lub neej tiag tiag. Piv txwv li, nyob rau lub hauv paus ntawm rau daim kab xev ua koj cov menyuam nyob rau hauv printing pab kiag li lawm, tsis siv neeg kis tau tus mob, abrasive nplhaib nyob rau hauv ib tug honed mechanisms thiab ntau ntxiv txog dab tsi koj twb tsis xav. Xwb, lub Möbius sawb - ib tug puzzle uas yuav kawm kom infinity!