01 o 05
He aha ka Polygon?
ʻO nā Polygonsʻelua mau mea
I ka Geometry, hoʻokahi polygon heʻano lua- like:
- Hanaʻia iʻekolu mau laina pololei
- Ua paniʻia -ʻaʻohe puka a wehe i keʻano
- He pai o nā laina e pili ana i nā kihi aiʻole nā poʻomanaʻo kahi e hana ai lākou i nā'ākau
- Hiki like i nāʻaoʻao a me nā 'ākau (i loko o ka polygon)
(ʻO keʻano o nā meaʻelua - he'ūlike - e like me kahi'āpana pepa)
ʻO Helene a pau
ʻO ka inoa polygon mai nā'ōlelo Heleneʻelua:
- poly - mean "nui"
- ʻo "mean"
Nā HuluʻO Polygons
- Nā Triangles
- Nā Squares
- Pentagons
- ʻO Octagons
- ʻO Dodecagons - e like me ke kumukūʻau Jamaica 12 i ke kiʻi ma luna
Nā HoʻohālikeʻAʻole Polygon
- ʻO kahi poʻi - no ka mea, ua hakuʻia me kahi laina kaupili ma mua o nā laina pololei
- ʻO kahi pahu a pohue paha - no ka mea, heʻekoluʻano likeʻole keʻanoʻaʻoleʻeluaʻano
02 o 05
Ke kohoʻana i nā Polygons
Nā inoa o ka Polygon
ʻO nā inoa o kēlā me kēia polygons e loaʻa mai ka helu o nāʻaoʻao a me / a i loko o nā'ākau i loko o keʻano.
(Ma ke ala,ʻo ka helu o nā mākau loko -'ākau i loko o keʻano - pono e kū like ka helu o nāʻaoʻao).
ʻO nā inoa maʻamau o nā polygons nui he prefix Helene no ka helu o nā'ākau e pili ana i ka'ōlelo Helene no ka angle (gon).
No laila,ʻo nā inoa maʻamau no nā polygons maʻamau he mauʻelima a heʻeono:
- penta (ka'ōlelo Helene lima) + gon = pentagon
- hexa (ka'ōlelo Heleneʻeono) + gon = hexagon
ʻO nā Haʻawe
Aia kekahi, heʻokoʻa, nā hōʻole i kēia inoa inoa. ʻO kahi nui:
Triangle- hoʻohana i ka prefix Helene Tri, akā ma kahi o ka Helene Hele , hoʻohanaʻia kaʻaoʻao Latin. ( ʻAʻole i kapaʻia lākou he mau hua'ōlelo).
He Quadrilateral - i loaʻa mai ka hua'ōlelo Latin prefix quadri -ʻo ia hoʻi,ʻehā - i pili i ka hua'ōlelo laulā -ʻo ia hoʻi kekahi hua'ōlelo Latin'ē aʻe.
I kekahi manawa, ua kapaʻia kekahi'āpana hāhāʻehā e like me kahi'āluau a me ka tetragon .
n-gons
ʻO Polygons me nāʻaoʻao heʻumi a me nā aniani e noho nei, a he mau inoa maʻamau kekahi - e like me ka 100 mauʻaoʻao h .
Ma muli o ka hopena pinepineʻana iā lākou, akā, ua hāʻawi pinepineʻia lākou i ka inoa e pili ana i ka helu o nāʻaoʻao a me nā'ākau i ka hua'ōlelo maʻamau no ke kihi - gon .
No laila, ua kapaʻia he polygone 100-ʻaoʻao i ka 100-gon .
ʻO kekahi mau inoa n-gons a me nā inoa maʻamau no nā polygons me nāʻaoʻao heʻoi aku ma mua o nāʻaoʻao heʻumi:
- 11-pū: Hendecagon
- 12- puhi : Dodecagon
- 20- puhi : Ikini
- 50-puhi: Penetakekona
- 1000-gon: Chiliagon
- 1000000-gon: Megagon
ʻO ka palena'āpana kala
ʻO ke kumuhana,ʻaʻohe palena i ka helu o nāʻaoʻao a me nā aniani no kahi polygon.
E like ka nui o nā'ākau o loko o kahi polygon i liʻiliʻi a lōʻihi ka lōʻihi o kona mauʻaoʻao i ka liʻiliʻi o ke alahaka polygon i ka poepoe - akāʻaʻole loa e loaʻa ma laila.
03 o 05
Hōʻike i nā Polygons
Hoʻokahi me nā Polygonsʻole
I loko o kahi polygon maʻamau , ua like ka nui o nāʻoki a pau a ua like nāʻaoʻao a pau i ka lōʻihi.
ʻO kekahi polygonʻehaʻole kekahi polygon i loaʻaʻole nā'āpana kaulike a me nāʻaoʻao o ka lōʻihi like.
ʻO Convex vs. Concave
ʻO kaʻaoʻaoʻelua e hoʻonohonoho i nā polygons e like me ka nui o ko lākou mauʻaoʻao. Ke kūleʻa a hoʻoholo nei nā kohoʻelua :
- ʻO Convex polygons -ʻaʻohe'ākau i loko o 180 °;
- Paleona polygons - aia iʻoi aku ka lōʻihi o kaʻoki i loko o 180 °.
Hoʻokahi a me Polygons
Akā kekahiʻano'ē aʻe no ka hoʻonohonohoʻana i nā polygons ma keʻano o nā laina e hana ana i ka polygon e kau waena.
- Hoʻopili nā laina o nā polygons māmā a hoʻokahi wale nō wale nō - ma nā poʻomanaʻo;
- ʻO nā laina o nā polygons māmāʻoi aku iʻoi aku ma mua o hoʻokahi manawa.
ʻO nā inoa o nā polygons māmā he manawa likeʻole ia mai nā polygons māmā me ka helu like o nāʻaoʻao.
ʻo kahi laʻana,
- ʻO ke kaula hao maʻamau he'āpana'āpana'āpanaʻeono
- ʻO kahi agram hex a me keʻano heʻehaʻehaʻehā o ka'āpana i hanaʻia e ke kāpiliʻana iʻelua mau kaulike elike me ka mea i hōʻikeʻia ma ka kiʻi ma luna aʻe
04 o 05
Ka Hoʻohui o nā Angles Angle
E like me ke kaulike, i kēlā manawa kēia manawa i hoʻohuiʻia kahiʻaoʻao i kahi polygon, e like me:
- Mai kahi hōʻailona a hoʻonāhā (ʻekolu aʻehāʻaoʻao)
- Mai kahi pentagon i kahi heki (elima aʻeonoʻaoʻao)
Hoʻohuiʻia kekahi 180 ° i ka huina o nā'eneki waena.
Hiki ke kākauʻia kēia kulekele e like me keʻano:
(n - 2) × 180 °
kahi n = ka helu o nāʻaoʻao o ka polygon.
Hiki ke loaʻa nā huina o nā'ākau o ke kīkeke ma ka hoʻohanaʻana i keʻano:
(6 - 2) × 180 ° = 720 °
ʻEhia mau aniani o kēlā Polygon?
Hiki ke laweʻia ka papahana'ākau ma luna ma o ka māheleʻana i kahi polygon i luna o nā triangle, a hiki ke loaʻa kēia helu me ka heluʻana:
n - 2
kahi e like ana me ka helu o nāʻaoʻao o ka polygon.
No laila, hiki ke hoʻokaʻawaleʻia he hexagon (ʻeono mauʻaoʻao) iʻehā mau triangle (6 - 2) a me kahi dodecagon i 10 mau triangle (12 - 2).
ʻO ka Angle Nui no nā Polygons
No nā polygons maʻamau (mau'ākuhi a like ka nui a me nāʻaoʻao a pau ka lōʻihi hoʻokahi), hiki ke heluʻia ka nui o kēlā me kēia kihi i loko o kahi polygon ma ka māheleʻana i ka helu helu o nā huina ma ka helu o nāʻaoʻao.
No kekahi'okikaʻeono mauʻaoʻao,ʻo kēlā me kēiaʻoki:
720 ° ÷ 6 = 120 °
05 o 05
ʻO kekahi mau Polygons kaulana
Triangular Trusses
ʻO nā kumu o ke koho -ʻano hoʻohālikelike keʻano. Ma muli o ka laulā a me ka pitch o ke kaupaku, hiki i ke kumu ke hoʻohui i nā huinanui'āpana a me nā hiʻona.
Ma muli o ko lākou ikaika nui, ua hoʻohana pūʻia nā huinanui i ka hanaʻia o nā alahaka, nā kaʻa uila, a me ka Hale Eiffel.
ʻO ka Pentagon
ʻO ka Pentagon - ke keʻena o ka Department of Defense Department (US Department of Defense) - e lawe i kona inoa mai konaʻano. ʻO ia ka pae palekana maʻamau.
Paʻa Home
ʻO kekahi pentagon maʻamau heʻelima kūlana kaulanaʻo ia ka pā hale ma kahi diamond baseball.
ʻO ka Pentagon Fake
ʻO kahi hale kūʻai kūʻai nui ma Shanghai, ua kūkuluʻiaʻo Kina i keʻano o ka pentagon kahiko, a i kapaʻia kekahi manawaʻo ka Fake Pentagon no ka mea like me konaʻano like me ka mua.
Nā'ōpala
Hoʻokumuʻia kēlā me kēlā me kēia pale hau e like me ka pāpaʻi hexagonal, akāʻo ka mahana a me kaʻilikai e hoʻonui i nā lālā a me nā pulupulu i hiki i kēlā me kēia mea ke nānā i kahiʻokoʻa ..
ʻO ka pi a me ka holoi
ʻO nā'ālika hexagons pū kekahi e komo pū i nā pipihi kahi e noho ai kēlā me kēia pūkeke i loko o kahi melemele e hanaʻia e ka pi no ka mālamaʻana i ka meli,ʻo ia keʻano hexagonal.
Aia nā pūnana o nā poʻi pepa i nā pūnaewele hexagonal kahi e hānai ai lākou i kā lākou mau'ōpiopio.
ʻO ke Alakaiʻo Giant
Loaʻa nā hexagons i ka Giant's Causeway e noho nei ma ka'ākau'ākau hikina.
ʻO ka pōhaku kūlohelohe i kūkuluʻia e like me 40,000 mau kolaki basalt e hanaʻia ana i hanaʻia e like me ka pele mai ka lua pele pele kahiko i hoʻomaha maikaʻi.
ʻO ka Octagon
ʻO ka Octagon iʻikeʻia ma luna -ʻo ka inoa i hāʻawiʻia i ke apo aiʻole ka hale mālama i hoʻohanaʻia ma nā UFC (Ultimate Fighting Championship) - e lawe i kona inoa mai konaʻano. Heʻewaluʻewalu o nāʻeke.
Nā Kiʻi Kūʻokoʻa
ʻO ka hōʻailona hōʻailona - kekahi o nā hōʻailona kelepona iʻikeʻia -ʻo ia kekahiʻewaluʻewalu'ekenekeʻewalu.
ʻOiai ka laula a me ka hua'ōlelo a mau hōʻailona paha ma ka hōʻailona keʻano likeʻole, ua hoʻohanaʻia keʻano octagonal no ka hōʻailona hanaʻana ma nā'āina he nui o ka honua.