Yuav ua li cas kos lub tsev hauv isometric thiab linear foundations

2024 Tus sau: Leah Sherlock | [email protected]. Kawg hloov kho: 2023-12-17 05:37

Ntau zaus cov lus nug tshwm sim: "Yuav ua li cas kos lub tsev?" Txoj kev yooj yim tshaj plaws uas cov menyuam yaus thiab lawv niam lawv txiv siv yog cov duab tiaj tus. Ntawd yog, kos duab square lossis duab plaub, phab ntsa pem hauv ntej ntsib cov neeg soj ntsuam, saum toj no - daim duab peb sab-ru tsev, qhov rais, kav dej. Tab sis qhov no yog qhov hu ua "cov me nyuam txoj kev xaiv." Thiab yuav ua li cas kos ib lub tsev kom nws zoo li tiag tiag? Ntawm no koj yuav tsum tau paub nrog ntau lub tswv yim kev tshawb fawb.

Yuav ua li cas kos lub tsev hauv isometric pom?

Thawj zaug peb tuaj hla txoj kev no thaum kawm trigonometry, nrog rau hauv kev qhia kos duab. Thaum kos ib lub voos xwmfab hauv cov tshooj lus trigonometry, peb tau pom qhov yuav luag tiag tiag hauv daim duab peb sab. Ntxiv mus, txhua sab ntawm nws khaws qhov sib npaug ntawm qhov loj me, thiab sab pem hauv ntej txawm muaj cov kaum sab xis. Txoj kev depicting cov khoom nyob rau hauv isometric projection yog siv nyob rau hauvmechanical engineering thaum kos duab kos duab, hauv computer-aided design systems thiab hauv computer games.

Thiab txij li thaum koj tuaj yeem kos lub tsev hauv qhov kev kwv yees isometric siv cov algorithm rau kev kos lub voos xwmfab, ces koj yuav tsum pib nrog lub square lossis lub duab plaub: txhua yam nyob ntawm seb phab ntsa pem hauv ntej ntawm cov duab kos yog dab tsi. Tom ntej no, kos ib phab ntsa rov qab zoo ib yam rau pem hauv ntej, tso nws lub hauv paus me ntsis siab dua ntawm phab ntsa pem hauv ntej thiab txav mus rau sab xis lossis sab laug. Qhov thib peb kauj ruam yuav yog kev sib txuas ntawm cov ces kaum ntawm squares los yog duab plaub. Tam sim no koj yuav tsum tshem tawm cov kab txuas ntxiv nrog rau cov lwv. Lub ru tsev kuj yuav tsum tau ua nyob rau hauv isometric projection. Qhov no yuav tsis yooj yim rau cov neeg uas twb tau ntsib lub algorithm ntawm xws li kev tsim kho. Yog li, lo lus nug ntawm yuav ua li cas kos lub tsev nrog xaum tuaj yeem txiav txim siab daws. Txawm li cas los xij, ib yam dab tsi hauv daim duab tshwm sim tsis zoo!

Yuav kos lub tsev li cas?

Cov lus teb rau lo lus nug no tau pom rov qab rau xyoo pua kaum tsib los ntawm Italian tus kws kes duab vajtse Brunelleschi. Nws yog nws tus uas tau mloog rau qhov tseeb tias cov khoom nyob deb zoo li raug txo kom pom. Yog hais tias peb piv ib tsob ntoo sawv ib 'meter' deb ntawm tus soj ntsuam nrog tib tsob ntoo ntawm ib tug deb ntawm nees nkaum meters, ces qhov txawv yuav pom heev. Thiab cov rails? Ntawm no lawv nyob hauv qab peb txhais taw, zoo li sib npaug rau ib leeg. Tab sis yog tias koj saib mus rau hauv qhov kev ncua deb, koj tuaj yeem pom tias qhov kev ncua deb ntawm lawv tau txo qis thiab txo qis. Thaum kawgThaum kawg, kev hloov pauv mystical tshwm sim: cov kab sib txuas "poob" rau ib qho! Lub ntsiab lus no hu ua "vanishing point": tag nrho cov kab sib npaug sib ntsib ntawm nws. Tom qab txiav txim siab qhov tob ntawm qhov projection, uas yog, qhov chaw ntawm qhov chaw ploj mus ntawm cov kab txheeb ze rau cov duab khoom, tus kws kos duab tsim cov duab kos duab yav tom ntej. Qhov tseeb nthuav yog tias qhov chaw ploj mus tuaj yeem nyob deb sab nraum lub canvas uas cov duab kos tau npaj. Tom qab ntawd lawv kos (tej zaum lub hlwb) tag nrho cov kab. Lawv yuav tsum converge raws nraim ntawm qhov no. Yog li ntawd, phab ntsa tom qab ntawm lub tsev yog luv dua li pem hauv ntej. Tab sis cov duab los tawm ntau qhov tseeb dua nrog cov qauv ntawm kev kos duab raws li isometric projection.