Ke gula pauku ma ka makemakika

kinona o ke kiʻi, a ua muli ma ka lākiō o ke gula lākiō like ai ma psychologists a me mathematicians, ua ike na kanaka, me ka nani a me ka lokahi. Ke gula pauku ma ka makemakika - ia mea he mahele o ka hapa o ka Hoʻohana, ka wā Ua pili ka a pau Hoʻohana i ka hapanui o ke ala loa o ka uuku wahi.

Ua Ua manaoio aku i ka manaʻo o ka pauku gula i hoʻolaunaʻia ma mua e Pythagoras. Aia ka speculation ana oia i kona ike ana i ka pauku gula ma ka makemakika a me ka ole wale ma laila, akā, i loko o kuhikuhipuʻuone, pena, oe, a nui no hoi na mea a pau, ia ia mai ka Babulona a me koʻAigupita. I mea, me ka like ana o na luakini, pyramids o Cheops, kekahi hale 'ikamu ka hōʻikeʻana o nā haku o Aigupita hoʻohana i ka lākiō o ke gula lākiō i loko o kā lākou kūkuluʻia a me ka manufacturing.

Plato, hoi, ua ike o ka pauku gula. ka mea, helu kuhi henua nīnūnē e pili ana i ka aesthetic a me ka makemakika, ao ke ano o ka Pythagorean kula, a me na pilikia o ke gula lākiō i loko o ka "Timea" kā lākouʻano.

Nā huliāmahi kēia o ka mea helehelena luakini Parthenon ia imua o ka papa gula. Ma ka hanaʻeliʻana o ka luakini pńnńnń i loaʻa, a i hoʻohana 'ia e sculptors a me nā kānaka kuhikuhipuʻuone o kahiko Greece. I loaʻa i loko o Pompeii panana, i ka manawa i loko o ka iau i loko o Napela, i waiho iho i ke kilokilo ke ano.

Ke hoohiki mua o ka mahele gula i loko o kahiko moʻokalaleo, extant, hiki ke loaʻa i loko o ka "hehee wale" Euclid, ma ua haawi geometrically i ka hana o ka pauku gula.

Ma medieval 'Eulopa, mālama i ke gula pauku mea huna i loko o ke kanana' mahuka, ke akahele ka malamaia. Ka mea, hiki keʻikeʻia wale nō a hiki i ka hoʻokumu pū.

Iloko o ka pakebona hoihoi i loko o ka mahele gula, piʻi pū. Great artist a me nä känaka 'epekema Leonardo ka Vinci, o ka papa, hiki ole ole ia e ike i ke Akua e like me ka hoʻohana' ia i loko o kā lākou mau hana. Eia hou kekahi, hoomaka ae la oia e kākau i ka puke ma ka anahonua, kahi āna i makemake e hōʻike i nā mea kupanaha o ke gula lākiō, akā, ka mea, ua mua o ka möneka, a me ka mathematician nui Ikalia Luca Pacioli, ka mea ma Venice i ka 1509 paʻi i ka puke "Ka Akua me Lākiō Like".

Medieval mathematician Leonardo Pizansky (hanau ca. 1170 -.... ke Anuenue ca. 1250), maikaʻi ike like Fibonacci, i kekahi o na haumana kaulana o ia manawa. No ka mea manawa mua i loko o Europe, oia hoʻohana kahi o Roma numerals Apapika, a loaa i ka moʻo o ka nui loa i loko o makemakika, ma hope kapa Fibonacci inoa. Ua nana e like keia: 1,1,2,3,5,8,13,21, ... a no laila, ma luna o. Ke kaʻina o kēia mau helu ua kapaia kekahi manawa Fibonacci helu. Golden Section hiki ke ikeʻaneʻi. Ua hiki ke ike ia ma kela a me keia o ke kaʻina helu like penei, ina ka mua mau pa. Inā mākou e puunaue kēlā me kēia manawa o kēia kaʻina kamahaʻo o ka mua kekahi, ua loaa i ka gradual e hoʻokokoke i ke Fibonacci helu (P = 1,6180339 ...). 'O kēia ke gula lākiō Fibonacci helu hōʻike F. kēia helu, e like me ka pono-ike pi = 3,1415 ... mai i ke kūlike loa cia. Ma hope o ka kekimala wahi i ka helu o nā huahelu mea mana loa. A hoike mai ai ia i ka pauku gula ma ka makemakika. Penei ka helu kuhi puke i ka makemakika a me ka ole i na hana mana wale. Inā mākou e puunaue kēlā me kēia manawa o ke kaʻina i ka mea e hiki mai ana, ua loaa i ka helu 0, 6180339 ... na hana mana, hana hou - ma hope o ka kekimala wahi helu haʻi hou like na helu a pau o F, e like ma mua o ka comma e ole 1 akā, 0. E makemakika paradoxes ʻaneʻi loa nui. A me keia mea wale nō ke hoʻomaka. Ke gula pauku ma ka makemakika, aʻaʻole wale nō ia e hana i na mea kupanaha, akā, i kekahi manawa mākou e ole kaʻina hana.

Ua mea hoi ma ka kuhikuhipuʻuone, a me ka mele, makemakika, poetry,? Aneia iainiiaaiea, a me ka 'ole o ka mea kanu i loko o ka pua paha market, na huliāmahi o ke kanaka kino, a me nā kino o nā holoholona,ʻoni iho hometa ma nunui a me ka microcosm, me ka ke ao holoʻokoʻa, a laila, ma luna, infinity ...

No laila, ua hiki ke kuhi ana Golden Lākiō (Golden Pauku, Akua me Lākiō Like) mea i hiki mai ma nā pae o ka ke ao holoʻokoʻa.