Yuav ua li cas mus kos ib lub tsev nyob rau hauv isometric projection thiab linear foundations

Heev feem ntau cov nqe lus nug tshwm sim: "Yuav ua li cas xim lub tsev?" Qhov yooj yim txoj kev, uas yog siv los ntawm cov me nyuam thiab lawv niam lawv txiv - ib tug planar saib. Uas yog, kos ib square los yog duab plaub, pem hauv ntej phab ntsa uas ntsib tus tuav, saum toj no nws - lub-ru tsev-daim duab peb sab, qhov rai, cov kav dej. Tab sis qhov no thiaj li hu ua "cov me nyuam txoj kev version." Thiab yuav ua li cas rau kos ib lub tsev, ua rau nws zoo tiag tiag? Nws yuav tsum tau ntsib nrog ib tug ob peb scientific tswv yim.

Yuav ua li cas mus kos ib lub tsev nyob rau hauv foundations saib?

Rau cov thawj lub sij hawm peb yuav ntsib nrog nyob rau hauv no txoj kev nyob rau hauv txoj kev tshawb no ntawm trigonometry, raws li zoo raws li duab qhia. Plotting cov thawv muaj rau sab rau trigonometry qhia peb muaj visually yuav luag nws tiag tiag saib ntawm lub peb-dimensional duab. Ntxiv mus, tag nrho cov tog nyob twj ywm sib npaug zos rau nws loj, thiab rau pem hauv ntej - txawm muaj txoj cai ces kaum. Tus duab ntawm cov khoom nyob rau hauv isometric saib siv nyob rau hauv mechanical engineering thaum nqus cov ntsiab lus nyob rau hauv lub kos duab, nyob rau hauv computer los pab tsim qauv thiab ua si lub computer. Thiab raws li rau kos ib lub tsev nyob rau hauv ib tug isometric saib, koj yuav raws li lub algorithm ntawm nqus cov thawv muaj rau sab, ces koj yuav tsum pib nrog ib tug square los yog duab plaub: nws tag nrho cov nyob rau hauv dab tsi rau pem hauv ntej phab ntsa los ntawm cov duab khoom. Qhov no yog ua raws li los ntawm ib tug rov qab phab ntsa kom kos zoo tib yam rau pem hauv ntej, muab nws ib nyuag saum toj no rau lub hauv paus ntawm lub hauv pem hauv ntej phab ntsa thiab zawv zawg mus rau sab xis los yog mus rau sab laug. Qhov thib peb theem yuav tau cov kev twb kev txuas cov ces kaum ntawm lub squares los yog voos. Tam sim no nws yog tsim nyog los tshem tawm cov seem siv kab siv cov lwv. A ru tsev yuav tsum tau ua nyob rau hauv ib tug isometric projection. Qhov no yog tsis ua npaum li cas dag zog rau cov neeg uas twb ntsib nrog ib tug algorithm zoo xws li cov Siv. Yog li, cov lus nug ntawm yuav ua li cas rau kos ib tug cwj mem tsev, yuav suav daws. Tseem, ib yam dab tsi nyob rau hauv lub resulting daim duab no yog tsis heev li!

Yuav ua li cas mus kos ib lub tsev txoj cai?

Lo lus teb rau lo lus nug no yog muaj nyob ntau nyob rau hauv lub thib kaum tsib xyoo pua kes duab vajtse ntawm ltalis Brunelleschi. Nws yog nws leej twg kos mloog mus rau lub fact tias cov deleted yam li visually txo. Yog hais tias koj sib piv tsob ntoo sawv ib 'meter' deb ntawm lub observer, los ntawm tib lub tsob ntoo ntawm ib tug deb ntawm nees nkaum meters, qhov txawv yog heev hnov li cas. Thiab cov ntsia? Ntawm no lawv muaj nyob rau hauv peb ko taw, xws li thaum uas tig mus txheej txheem txheeb ze rau txhua tus lwm yam. Tab sis, yog hais tias koj saib mus rau hauv qhov kev ncua deb, peb yuav pom tias qhov kev ncua deb nruab nrab ntawm lawv tag nrho cov me me thiab me me. Nyob rau hauv lub kawg, muaj ib tug mystical transformation: thaum uas tig mus ntsia "tsiaj" nyob rau hauv ib tug nqaij ntawd! Qhov no yog hu ua "vanishing point": nws kev cob cog rua tag nrho thaum uas tig mus kab. Tom qab kev txiav txim ntawm qhov tob ntawm lub projection, uas yog, qhov chaw nyob rau hauv cov nqe lus ntawm ncaj qha qhovntsej thiaj tsis mob txheeb ze rau cov duab ntawm tus kwv, cov artist ua ib tug qauv ntawm lub neej yav tom ntej daim duab. Ib tug interesting tseeb yog hais tias tus vanishing point yuav tsum tau nyob deb tshaj cov canvas, uas yog npaj nyob rau hauv nws painting. Ces siv (tej zaum lub hlwb) tag nrho cov kab. Lawv yuav tsum los sib tshuam nyob rau ntawm taw tes. Yog li, lub rear phab ntsa ntawm lub tsev yog luv luv pem hauv ntej. Tab sis cov duab los xav zoo zoo dua nyob rau hauv lub nqus method, cia siab rau isometric saib.