Fibonacci helu me mākou

Fibonacci helu i nā mea a pau a puni mākou. Ka mea, eia nō hoʻi i loko o ke mele, ma ka kuhikuhipuʻuone, ma ka poetry, makemakika,? Aneia iainiiaaiea, ke kumukuai market, i loko o ka 'ole o ka mea kanu ma ka cochlearʻoni iho, i loko o ka huliāmahi o ke kanaka kino, a no laila, ma luna, a infinitum ...

Famous medieval mathematician Leonardo Pizansky (c. 1170-c. 1250), maikaʻi ikeia like Fibonacci, i kekahi o nā kānakaʻepekema loa kaulana o kona manawa. He ua ka mea mua ma Europe? Aaeaaaaony i ka hoʻohana 'ana o Apapika numerals kahi o Roma, a wehe i ka makemakika kaʻina o nā helu, hope inoa ma hope ona, a ua like penei: 1,1,2,3,5,8,13,21, ... a no laila, ma luna a infinitum. Ke kaʻina o kēia mau helu i kekahi manawa, i kapaia "Fibonacci helu."

He oluolu e hai ana i loko o kēia kaʻina kamahaʻo kēia kēlā me kēia helu ua hana ma ka hoʻokuʻi i ka mua poʻe elua. A aha ka mea kupaianaha? Inā mākou e puunaue kēlā mahope manawa o kēia hanana kaʻina o ka mua kekahi, mākou e ke kiʻekiʻe o hele kokoke i kekahi mea kupaianaha transcendental lākiō - i ka helu o F (Fibonacci helu) = 1.6180339887 ...

Keia huahelu, e like me ka helu Pi (3.1415 ...) mai he mau waiwai. ʻO ka helu o nā huahelu ma hope o ka kekimala wahi mea mana loa. 'O kēia ka hoʻomaka a me ka ole wale makemakika hana mana. Inā mākou e puunaue kēlā me kēia manawa o ke kaʻina, e hahai aku, mākou e kekahi kiʻi i transcendental helu 0 6180339887 ... na hana mana mau - ma hope o ka kekimala huahelu oe a like ke kaʻina o nā huahelu o F, e like ma mua o ka comma mea ole 1, a me 0.

Hele mua. Inā mākou i kū pono i ka kekahi Fibonacci helu, i ka hopena e e like me ka helu ana o ku ana ma ke kaʻina i loko o ke alo o ka ona, hoonuiia e ka helu i ka hope o ka mea, eia kekahi paha hua 1. No ka laʻana,ʻelima hana huinahā mea like i ka 3x8 + 1; 8 hana huinahā lākou, 5x13 hua 1; 13 hoala mai i ka huinahalike, e like me ka pono 8x21 + 1, a no laila, ma luna o. Na hoailona "eia" a me ka "hua" hoʻololi alternately. Oia makemakika mana nui likeʻole maʻaneʻi. Fibonacci helu hana i na hana mana a puni mākou, i kekahi manawa, ua pono e ole kaʻina hana.

Fibonacci helu ma ke ano maoli

Fibonacci ka lākiō., E hali ana i kekahi mau inoa - Golden Lākiō, Golden Section, Akua me Lākiō Like - ua loaʻa i loko o nā wahi loa unexpected a me ka pohihihi. No ka laʻana, mau hoahanau e ike hiki ma akahele noonoo o ka geometrical huliāmahi Pyramid o Giza, pyramids ma Mexico, Kapaau kahiko kuhikuhipuʻuone Parthenon.

hiki i nā mea kanu ike i ke kilokilo pili. Mākou ke mālama i ka Fibonacci helu hou, ina ua pono noonoo i keʻano o nā pua Asteraceae kanu: i ka pua o ka iris, ua loaʻa 3 petals, ma ka primrose - 5, mai ka ragweed - 13, ma ka daisy -34, oiai asters - 55 a me 89 petals .

Ka nui Goethe nānā, a aʻo i ka hōʻike o ka helicity ma ka ano. Spirals hiki ke ike ia ma ke alanui e waiho pua nānālā anoano, tidara cone, ma ka cacti, pineapples a me kekahi poe e ae. Ma nā mea a pau kēia mau hihia i Konakele. Fibonacci helu. ʻoni iho punawelewele, hilo iki aʻe hoʻi kona pūnaewele. i ka hoʻoluli makani pāhili spirally. A hoʻoluli a me galaxies. "Ke hālawa o ke ola" - ka ai-kapaiaʻoni iho Iogann Gote.

Ua hoikeia Fibonacci lākiō a me kālaimeaola o kekahi meaola. No ka laʻana, ka helu o nā kukuna starfish hoʻopili like e Fibonacci helu. A noʻonoʻo mosquito ke loaʻa pū iā lākou: i kona mau wāwae 3 hui, 8 Hoʻohana i ka abdomen, a ma luna o kona poʻo, he 5 antennae. Ka helu o vertebrae i loko o kekahi mau holoholona, he 55, a no laila, ma luna o.

Ua moo nei lākiō o ka lōʻihi o kona huelo i ka koena o ke kino lōʻihi o 62 a me 38, a me keia pilina mea harmonious, a ua makemakeʻia e ko kakou mau maka. Ma ka holoholona, a me ka mea kanu ao, ma na wahi a hoike mai ai ia symmetry. Ke Akua, Nature a me ka Great kanaka kuhikuhi puʻuʻone o ka hoʻomaopopo papa i loko o symmetrical Hoʻohana, māhele, a me ka gula lākiō. Ma ka hai hapa e hiki holoʻokoʻa 'ole, i mea he kīnā o ke fractal ma ka ano.

Gold symmetry mālama i loko o nā mahele ma pili me ka ikehu kāki o kula haʻahaʻaa (particles), me ka 'ole o kēia Nine Inch i huiʻia, ma ka makahiki nenoai, aaiaoe hale, me ka' ole o kekahi kanaka nā loko, a kino, ike i loko o nā biorhythms, lolo hana a me ka waiwai o ka pokole.