Cov txheej txheem:

Paper parallelepiped: peb technologies ntawm ib nplooj ntawv
Paper parallelepiped: peb technologies ntawm ib nplooj ntawv
Anonim

Tej zaum yuav muaj ntau yam laj thawj thaum koj xav ua lub thawv rau koj tus kheej: tsev kawm ntawv ua homework kom tiav cov qauv ntawm lub cev geometric yooj yim tshaj plaws, lub siab xav ua rau koj tus kheej qhwv khoom plig lossis txawm tias lub tsev tsim tshwj xeeb sab hauv.

3D polygon muaj dab tsi nrog nws?

Muab nws bluntly, tag nrho cov no yog nyob rau hauv lub hwj chim ntawm xws li ib tug yooj yim daim ntawv li lub thawv. Nws yog qhov yooj yim tshaj plaws thiab ceev tshaj plaws kom nws tawm ntawm daim ntawv. Xav txog cov kev xaiv nthuav tshaj plaws: gluing ib daim duab los ntawm tus qauv raws li ib daim duab muab, origami thiab modular los ua ke.

Zaj 1: 3D qauv

Yuav ua kom lub thawv plaub fab tawm ntawm daim ntawv, koj yuav xav tau daim duab los qhia, tus pas ntsuas, xaum thiab txiab.

Ua ntej tshaj, koj yuav tsum paub meej tias tus qauv loj npaum li cas koj xav tau. Ntawm ib daim ntawv cais, sau qhov loj me ntawm parallelepiped: qhov siab ntawm sab saum toj, qhov ntev thiab dav.

Tom ntej, siv qhov piv txwv ntawm kos duab:

yuav ua li cas ua ib lub thawv ntawv
yuav ua li cas ua ib lub thawv ntawv

Nws yog ib qho tseem ceeb tsis yog tsuas yog rov kos tus qauv, tab sis raws li qhov yuav tsum tau ua. Tom qab ntawd, raws li qhov tshwm sim, yuav tsis muaj kev poob siab thiab yuav tsum tau ua ob zaugjob.

Thaum koj daim duab npaj txhij, kos lub voj voog uas tshwm sim nrog lub ntsis ntawm txiab hauv qab tus kav. Qhov no yuav tsum tau ua kom cov duab los qhia kom zoo zoo ntawm cov quav, thiab tsis "sau" nws cov kab.

Pem hauv ntej ntawm koj yog lub thawv xa tawm. Txiav tawm qhov khoob ntawm daim ntawv nrog koj tus kheej tes. Quav los ntawm sab nraub qaum raws kab cim.

Nws tsuas yog txhawm rau muab cov nyiaj pub dawb rau sab uas nyob ib sab ntawm tus qauv los ntawm sab hauv thiab koj lub thawv npaj tau.

ntawv thawv
ntawv thawv

Zaj Lus Qhia 2: Origami

Raws li menyuam yaus, koj yuav tsum tau ua si nrog cov blocks. Tau kawg, thaum lub sijhawm ntawd koj tsis muaj lub tswv yim tias koj tab tom cuam tshuam nrog lub thawv. Thaum lub sij hawm kev ua si, qhov sib npaug ntawm txhua sab tsis muaj kev txhawj xeeb, tab sis kev ua haujlwm tseem ceeb. Thiab tsis txhob hais tus me nyuam lo lus nyuaj. Qhov tseem ceeb tshaj plaws yog qhov kev zoo siab ntawm cov menyuam yaus tuaj yeem rov ua dua, tab sis nyob rau theem tshiab. Yuav ua li cas? Ua ib lub thawv ntawv siv cov txheej txheem origami. Yog, tsis yog ib qho qauv, tab sis ntau npaum li muaj qhov muag teev ntawm koj lub halogen garland. Saib seb koj xaus li cas.

ntawv kub
ntawv kub

Kauj Ruam 1

Nyob ib daim ntawv square. Khoov nws hauv ib nrab. Khawb thiab quav dua rau sab nraud.

ua-nws-koj tus kheej daim ntawv parallelepiped
ua-nws-koj tus kheej daim ntawv parallelepiped

Kauj Ruam 2

Rov ua tib yam kauj ruam, tsuas yog hauv kev taw qhia ntawm cov ces kaum.

ntawv thawv
ntawv thawv

Kauj Ruam 3

Tuav ob sab ntawm daim ntawv nyob hauv nruab nrab nrog koj tus ntiv tes. Ob leegCov npoo sab nraud kuj ncaj qha rau ib leeg thiab ua kom zoo nkauj daim duab peb sab, yog li kho cov kab tshiab.

yuav ua li cas ua ib lub thawv ntawv
yuav ua li cas ua ib lub thawv ntawv

Kauj Ruam 4

Ua ntej ntawm ib sab, thiab tom qab ntawd ntawm lwm qhov, nqa cov ces kaum ntawm daim duab peb sab mus rau saum.

ntawv kub
ntawv kub

Kauj Ruam 5

Qhov tshwm sim yog lub npe rhombus. Nqa nws cov ces kaum sab xis thiab sab laug mus rau qhov chaw. Tshem tawm lub thawv ntawv yav tom ntej dua.

ua-nws-koj tus kheej daim ntawv parallelepiped
ua-nws-koj tus kheej daim ntawv parallelepiped

Tsis txhob hnov qab tig tig rov qab.

Kauj Ruam 6

Ua qhov ntxeev. Qhib cov ces kaum me ntsis koj cia li folded thiab quav rau lwm tus. Lawv raug tsim los ntawm cov dawb kawg ntawm ib daim ntawv thiab raug coj nrog lawv cov vertices mus rau cov kab fold nyob rau hauv opposite lus qhia ntawm ib leeg.

Yuav nyuaj to taub txog thaum koj pom tias nws yog dab tsi.

ntawv thawv
ntawv thawv

Kauj Ruam 7

Ntxig cov ces kaum uas tau txais tshiab rau hauv lub hnab tsim, raws li qhia hauv qhov piv txwv.

yuav ua li cas ua ib lub thawv ntawv
yuav ua li cas ua ib lub thawv ntawv

Kauj Ruam 8

Yog li, lub thawv ntawv npaj txhij! Tsuas yog nws tseem muab quav. Koj tuaj yeem ntxiv ntim rau nws hauv ob txoj kev. Ua ntej: inflate. Thib ob: coj tus pas nrig ntev los ntawm tus cwj mem zoo tib yam thiab siv nws. Ob txoj kev yog ua los ntawm tib lub qhov uas koj yuav pom hauv qab ntawm tus qauv (qhov ze tshaj plaws raurau koj). Thaum koj ua cov kev hloov pauv no, koj yuav tau txais cov duab zoo li no:

ntawv kub
ntawv kub

Ib lub teeb halogen yog muab tso rau hauv tib lub qhov uas lub voos xwmfab tau inflated.

Zaj Lus Qhia 3: Modular Building

Lwm txoj kev nthuav kom ua lub thawv zoo heev tawm ntawm daim ntawv.

ua-nws-koj tus kheej daim ntawv parallelepiped
ua-nws-koj tus kheej daim ntawv parallelepiped

Kauj Ruam 1

Muab daim ntawv square nyob rau hauv ib nrab thiab ib nrab dua lengthwise hauv ob. Cia ob lub folds loj "sib ntsib" hauv nruab nrab.

ntawv thawv
ntawv thawv

Kauj Ruam 2

Tig qhov khoob. Rub lub kaum sab laug qis mus rau nruab nrab thiab hlau cov kab quav.

yuav ua li cas ua ib lub thawv ntawv
yuav ua li cas ua ib lub thawv ntawv

Kauj Ruam 3

Rov ua tib yam nkaus, tab sis nrog rau sab xis sab xis.

ntawv kub
ntawv kub

Kauj Ruam 4

Txo lub kaum sab saum toj thiab hauv qab kaum sab saud. Koj yuav muaj square.

ua-nws-koj tus kheej daim ntawv parallelepiped
ua-nws-koj tus kheej daim ntawv parallelepiped

Kauj Ruam 5

Cia cov ces kaum tig rov qab.

ntawv thawv
ntawv thawv

thawj qhov qauv yog npaj txhij.

Kauj Ruam 6

Ua 5 yam ntxiv, tab sis los ntawm cov nplooj ntawv sib txawv:

yuav ua li cas ua ib lub thawv ntawv
yuav ua li cas ua ib lub thawv ntawv

Kauj Ruam 7

Txuas lawv rau hauv ib lub thawv. Vim li cas thiaj ntxig txhua lub kaum ntse ntse rau hauv "lub hnab tshos" ntawm ib sab ntawm lub voos xwmfab.

rectangular parallelepiped ntawmntawv
rectangular parallelepiped ntawmntawv

Tib

Kev tsim tus qauv, txawm tias daim ntawv paub zoo li no los ntawm thaum yau los ua ib qho parallelepiped, tsis zam qhov tsis saib xyuas. Qhov tseeb ntawm qhov loj me, kab ncaj - qhov no yog qhov ua tiav ntawm kev ua tiav thiab kev txaus siab los ntawm qhov tshwm sim yog lus dag.

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