Sida loo sameeyo polyhedron warqad. Polyhedra Paper - nidaamka

farsamada Paper - waa noocyo kala duwan oo kaararka iyo codsiyada ka dhigay in foomka of alaabta guri ma aha oo kaliya. tirooyin aad u asalka heli model saddex dhinac-cabbir ah (photo 1). Tusaale ahaan, waxaa la dhisey kara of polyhedron warqad. Ka fiirso qaar ka mid ah siyaabaha oo dhan, iyadoo la isticmaalayo jaantus iyo sawiro.

muuqaalo taariikhda

sayniska xisaabeed Baydka habaysan ee la soo dhaafay ka fog, in times of barwaaqo ee qadiimiga Rome iyo Greece. Markaas waxaa la go'aamiyay in link dhinacyada farsamada ee falsafada ah. Sidaa darteed, sida ay Plato wax baridda (mid ka mid ah aqoon yahanno qadiimiga ah), mid kasta oo polyhedra ka kooban tiro ka mid ah diyaaradaha isku dhigan tahay mid ka mid element. Qaabab ee saddexagal - octahedron iyo tetrahedron icosahedron - xidhiidha hawada, biyaha iyo dab, siday u kala horreeyaan, oo waxaa loo roggi karaa kasta oo kale oo ay sabab u midayso wejiyada, kuwaasoo mid walba uu leeyahay saddex apexes. Earth astaan hexahedron ee god oo. dodecahedron A, in a wejigooda gaar ah pentagonal mahad, qabata door madaxtooyada, oo waa noocooda ah ee wada noolaanshaha iyo nabada.

Waxa kale oo aanu ognahay in mid ka mid ah xisaab Giriigga Euclid cadaato Markuu wax barayay, "Bilowga" asalnimada gudbiyo adkaha kiciyo iyo hantidooda "haboon" gelin ka howgala (photo 2). Waxaa lagu muujiyay ka polyhedron warqad by laalaabo tiinna u dhexeeya labaatan saddexagal isle. Scheme muujinaysaa qaab tirada wax soo saarka. Ha ka fikiro si aynu dhammaan marxaladaha shaqada on abuurista icosahedron ah.

waxaan samayn icosahedron

icosahedron wuxuu ka kooban yahay saddex xagalada labaale siman yimaa-. Waxa si fudud loo duubnaadaan karaa iyadoo la isticmaalayo muujiyay in Jaantuska 2 howlgal. Qaado warqad qaab warqad. Isku Aadka u labaatan isku mid ah oo ku saabsan in cabbirka iyo qaabka saddexagal, iyaga gelinayn in afar saf. Xaaladdan oo kale, mid kasta oo ka fool ka mid ah isku mar u noqon doonaa xisbi kale. Habku keentay waxaa loo isticmaalaa samaynta preform ah. Waxa ay noqon doontaa ka gunnooyinka joogitaanka saldhig-howlgal for lagala kulmo ku saabsan oo dhan dogob kala duwan. Iska yaree maran warqad, waxaa laab qaab ah. Xirrira polyhedron ah warqad,-circuit gaaban saf ba'an isku mid ah. Xaaladdan oo kale ah geesaha of saddexagal xirmaan hal dhibic.

polyhedra joogto ah

All tirooyinka waxaa laga tirada kasta oo kale oo kala duwan oo ku saabsan iyo foomka ay kala duwan. Intaas waxaa sii dheer, lagu daydo qaar ka mid ah la duubnaadaan karaa hal xaashi (sida ku cad Tusaale icosahedron saaridda) kuwo kale - oo kaliya iyada oo loo marayo collection of dhowr qaybood. Waxaa loo tixgeliyaa polyhedra joogto ah classical. Laga soo bilaabo qaadashada warqad ay, u hoggaansanaayeen sharciyada ugu muhiimsan dhabanada - joogitaanka template si buuxda wejigooda isku mid. Waxaa jira shan nooc oo waaweyn oo tirooyinka. Shaxda soo socota ayaa waxay bixisaa macluumaad ku saabsan magacyada, lambarrada iyo qaababka wejiyadooduna:

kala duwan oo ka mid ah qaababka

Ku saleysan oo ka mid ah shan nooc oo ku qoran, iyadoo la isticmaalayo xirfad iyo male, rag saaniciin ah ay fududahay in la qorsheeyo noocyo badan oo kala duwan oo ka mid warqad. polyhedron waxay noqon kartaa arrin ka duwan kor ku tilmaamay shan sheqel, la isku mar la aasaasay isticmaalaya wejigooda kala duwan, sida god iyo saddexagal. Sayidka helay sabaynta jirka. Oo haddii mid ama ka badan wejigooda inuu seegi doono, oo aad ka heli qaab furan sida viewed by labada dibadda iyo gudaha. Wixii soo saaridda ee lagu daydo adag oo isticmaalaya astaamo gaar ah ka cufan xardhanaa, iyo sidoo kale hayn qaab, warqad. Samee iyo polyhedra gaarka ah ee warqad. Qorsheyaasha waxyaabaha sida ka mid ah joogitaanka modules ridday dheeraad ah. Ha ka fikiro si aynu siyaabo si ay u dhisaan tiradaasi aad u qurux badan oo ku saabsan tusaale ahaan ka mid ah dodecahedron ah (photo 3).

Sida loo sameeyo polyhedron warqad iyo toban danbow: Habka ugu horeysay

Tiradaas waxaa lagu magacaabaa dodecahedron stellated. Mid kasta oo ka geesaha ay ugu salkeeda waa shan geesle joogto ah. Sidaa darteed, ka dhigi laba siyaabood polyhedra sida warqad. for soo saaridda ee wareeggeedii xoogaa kala duwan yihiin midba midka kale ka. Xaaladda hore waa hal gabal (photo 4), iyadoo ay sabab u laabanto kaasoo leexda alaabta dhamaystirtay. Ka sokow Wajiyada ugu weyn ay joogaan in tiradaasi qaybta xira for lagala kulmo, by kaas oo tirada Galiyana hal dhan ah. Wixii soo saaridda ee jidka labaad polyhedron ah in la sameeyo naqshado badan oo kala duwan. Ka fikir habka uu u shaqeeyo si faahfaahsan.

Sida loo sameeyo polyhedron warqad lagu sameeyo, habka labaad

Abuurta laba template ugu muhiimsan (photo 5):

- First. Goobada on xaashida oo kala goo guud ahaan laba qaybood. Mid ka mid noqon doono aasaas u ah hannaanka, ARC labaad isla markiiba delete loogu talagalay. U qaybi meel shan qeybood oo isla eg iyo xaddido gacan ka iskutallaabta dhammaan qeybaha. Natiijada kuwaas oo soo wada addoonsi shan saddexagal labaale isku mid. Soo dhowaada ku xiga si ay qeybta dhexe ee goobo nuskeed saxda ah isla, laakiin in image muraayad. Qaybta keentay markii la yareeyo u eg laba yaqaano. Warshadaha ee astaamo la mid ah oo dhan lix iyaga ka mid ah. Waayo, iyaga bidabeysan isticmaalaya qaybta labaad, kuwaas oo la geyn doonaa gudaha.

- Labaad. qaabkani - xiddig shan geesood. Raac isla laba iyo toban meelood. Xirrira polyhedron ah, mid kasta oo ka mid ah xiddigaha la laaban upwardly darafyadiisa kaalinta gudaha qaybo toobinta oo waxaa hogaansamey wejiyadii.

tiradaasi lacag Full helay by xira qaybaha dheeraad ah block double warqad, iyaga qaadataa gudaha. Qaabaynta alaabta waa dhibaato ku filan si ay u sameeyaan iyaga oo kala duwan size. model dhammeeyey of polyhedra warqad ma aha sidaas u fudud in la kordhiyo. Waa kuma filna kaliya in ay ka dhigi gunnooyinka ee dhammaan xuduudaha dibadda. Waxaan u baahanahay in si gaar ah loo cabiray kasta oo wejiyadii. Kaliya ee habkan waxaa suurtagal ah si aad u hesho nuqul ah ballaadhisay of model asalka ah. Isticmaalka habka labaad ee soo saarta polyhedron ah, waxay u badan ka sahlan ka dhigaysa, sida ay noqon doonto in ku filan si loo kordhiyo workpiece ee bilowga ah, taas oo uu sameeyaa tirada loo baahan yahay ee qaybo ka.