Pehea e e pepa polyhedron. Polyhedra Paper - noaia

Pepa House - mea ole wale keʻano o nā pepa a me ka palapala noi i loko o ka palapala o ka palahalaha huahana. Loa palapala oeeo loaa ekolu-dimensional kükohu (photo 1). No ka laʻana, hiki e? Ieoaeunoai o ka pepa polyhedron. E noonoo i kekahi o na aoao a pau, ka hoʻohana 'ana kiʻikuhi a me nā kiʻi.

mō'aukala kinona

Makamua makemakika 'epekema ua uhukiia i loko o ka mamao i hala, ma ka manawa o ka pomaikai o ka wa kahiko Rome, a Greece. A laila, ka mea i hooholoia e kuhikihi ana i ka oaoieei-, ao ke ano o ka philosophical. Nolaila, e like me na aʻo Plato (kekahi o na thinkers kahiko), kela mea keia mea o ka polyhedra oia hoi o ka helu o'ālike Kekoa ho kekahi hehee ai. Kinona o triangle mauna - octahedron a me ka tetrahedron icosahedron - pili me ka lewa, ka wai a me ke ahi, pakahi, a ua hiki ke hoohuliia mai i loko o kēlā me kēia 'ē aʻe ma muli o ka uniformity o ka maka, kela mea keia mea o na mea ekolu apexes. Honua nô kêia ka hexahedron o mika pāhoʻonui lua. A dodecahedron, i ke aloha a hiki i ka kūikawā pentagonal maka, hanaʻia i ke kūlana Nani Loa, a me ka mea i ka prototype o ke aloha a me ka maluhia.

Ua ike no hoi i kekahi o na Helene mathematician Euclid hoao iho la ma kana ao ana, "mua" originality haawiia i ka Platonic puaʻa hiwa a me kā lākou waiwai "pono" i loko o ka poepoe (photo 2). Ua Ua hoike mai ka pepa polyhedron e pelu ana nō ia i ka serried ma waena o iwakalua equilateral triangle mauna. Noaia hōʻike i ke kumu no ka manufacturing huahelu. E hoi kakou i na kahua o ka hoʻonaʻauao a pau o ka hana ma ka hanaiia'na mai o ka icosahedron.

mākou hana icosahedron

Ke icosahedron Ua i mai o like-pepa paia isosceles triangle mauna. Ua hiki ke hoopuni pelupelu ia hoʻohana 'ana e hōʻike' ia ma ke Kii 2 kahili. E i kekahi mau huinahń kuina o ka pepa. E unuhi oe i ka mea he iwakalua'ālike ma ka nui a me ka shape o triangle mauna, e kau i ia i ka eha lalani. Ma keia hihia, kēlā he maka kekahi, e ka poʻe e ka aoao i ka mea 'ē aʻe. Ke kūpono kumu ua hoʻohana 'ia no ka hanaʻana i ka preform. Ka mea, e okoa mai o ka waihona ipu-kahili alo wahiʻai no ka ponaʻana ma luna o nā mea a pau nui ilpko o. Kua pepa pepa hakahaka, pa ia ma ka laina. Ho okumu i kekahi polyhedron i o ka pepa, pōkole-huakai kaapuni i ka loa lalani mawaena o lakou iho. Ma keia hihia na vertices o triangle mauna hoʻohui i ka hoʻokahi wahi.

mau polyhedra

All oeeo? I okoa mai kekahi i kekahi,ʻokoʻa ka helu ana o facets a me kā lākou mau ano. Eia kekahi, i kekahi mau Ke Ana Hoʻohālike hiki ke pelupelu ia mai ka (e like me ia i ho'ākāka 'ia ma Laʻana hana icosahedron) hookahi kuina' ē aʻe - ma ohi ana i kekahi mau modules wale. Noonoo panina regular polyhedra. Mai kā lākou pepa hana, loʻohia i ka papa kuhikuhiE rula o symmetry - ke alo o ka uAAIIeI OAEeOeAa loa'ālike maka. He elima ka papa kuhikuhiEʻano o nā huahelu. ʻO kēia papaʻaina hoʻolako 'ike e pili ana i ko lakou mau inoa, helu a me nā kinona o ka maka:

Aʻano o nā kinona

Ma ke kumu o ka elima i makemake ai? Ueony, ka hoʻohana 'ana ke akamai a me ka manaʻo, poe paahana oluolu e manao nuiʻokoʻa Ke Ana Hoʻohālike mai o ka pepa. Ke polyhedron paha e loa ai okoa mai ka luna-i ho'ākāka 'ia apana elima, ua hanaʻia ka poʻe hoʻohana okoa maka, e like me mika pāhoʻonui lua a me triangle mauna. Pela i loaa kino buoyancy. A ina kekahi a oi maka e hala, e kiʻi i ka hamama shape i nana aku la au e nā waho a ma loko. No ka mea hana o ka puaʻa hiwa paʻa Ke Ana Hoʻohālike ka hoʻohana kūikawā lauana kiʻi kālaiʻia, mai ke anuanu, pono e malama i shape, pepa. E a kūikawā polyhedra o ka pepa. Manaʻo ia huahana loaʻa i ke alo o ka hou nei iluna modules. E mau aoao, e kükulu i ka loa maikai huahelu ma luna o ka hana o ka dodecahedron (photo 3) mai noʻonoʻo.

Pehea e e pepa polyhedron me ka umikumamalua kuahiwi: ka iaoiaeii mua

Kēia aka ua kapaia stellated dodecahedron. Kēlā me kēia no kona vertices ma kona kumu o he mau pentagon. No ia mea, e mau aoao ia polyhedra o ka pepa. no ka hana ana i puhi ai E ĸokoĸa ana nä pane i kekahi mau mea mai kekahi i kekahi. Ma ka hihia mua ia mea he hookahi apana (photo 4), e like me ka hopena o ua keena nei a huli i ka pau huahana. Ma waho o ka papa kuhikuhiE maka i noho i loko o ka huahelu o ka ai pili aku kekahi hapa no ka ponaʻana, ma i huahelu merges i loko o ka hoʻokahi a pau. No ka hana ana o ka polyhedron lua o ke ala, e hana kaawale mau lauana. i ke kaʻina hana ma ke au mamuli noonoo.

Pehea e hana i polyhedron i o ka pepa: ka lua o ka hana

Fabricate ka papa kuhikuhiE UAAIIeIA elua (photo 5):

- First. E kaha i ka p ÷ ai ma luna o ka pepa, a puunaue ia ma loko o nā māhele. Kekahi e lilo i ke kumu no ke kumu, o ka lua o ka piʻo koke kāpae i ka pono. E ho oka awale i ka paukū e pili pū i loko o elima like māhele, a kali i ka ke kahahńnai o ke kea a pau Hoʻohana. Mau hualoaʻa ma ka palapala hoopaa pu elima'ālike isosceles triangle mauna. E unuhi oe i kokoke e pili i ka waena Hoʻohana o ka kiko'ī ia semicircle, akā, ma ka aniani kiʻi. Ua kūpono loa ka wā minimized nana me nā pele. Hana o like lauana i loko o nā mea a pau eono o lakou. No ka tuko i ia ka hoʻohana 'ana i ka lua o ka loa, a e e waiho maloko.

- Apana. Kēia kumu - He elima-kuhikuhi mai la lakou hoku. E hahai i ka ia mau'āpana heʻumikumamālua. Ho okumu i kekahi polyhedron, kela mea keia mea o na hoku me ka upwardly kūlou ihola welau a waiho iho la maloko o ka conical māhele, a ua hahai ma hope o ka maka.

Full kauoha huahelu i loaa mai ma ka ai pili aku hou papalua aeie Hoʻohana o ka pepa, lawe aʻela iā lākou ma loko. Ke kalŰ huahana Ua problematic lawa ia e ia okoa i ka nui. Pau kumu hoʻohālike o ka pepa polyhedra i ole ai oluolu i ka mahuahua. HeʻAʻole lawa wale no e wahiʻai no nā mea a pau mawaho mokuna. E Pono e e ho'ēmi 'kaawale kela a me keia o na maka. Wale ma keia aoao ia mea hiki ke loaa ka ho'ākea kope o ka palapala kükohu. E ho ohana i ka lua o ka hana o ka manufacturing ka polyhedron, ka mea,ʻo ia ka mea, i ka puu uuku, e like me ka mea e e lawa, e hoʻonui i ka loiloi mua workpiece, a ua hana i ka koi 'ia ka helu o nā māhele.