55 kaha kiʻi o ke kiʻi gula a i ʻole Fibonacci (a me ko lākou manaʻo)

He kumu hoʻomāinoino ʻia ka makemakika no mākou i ka wā o kā mākou aʻo ʻana. ʻAʻole hiki iā mākou a pau ke hoʻomaopopo iā lākou. A ʻaʻole maʻalahi lākou. Eia naʻe, he ʻōlelo hoihoi a he ala leʻaleʻa e hoʻomaopopo i nā mea pohihihi o ke ao holoʻokoʻa.

ʻO kēia ka hihia me ka Fibonacci sequence a me kona pilina me ka ratio gula. E nānā iki kākou i kēia. ʻO ke kaʻina Fibonacci he pūʻulu o nā helu i hana ʻia ma ka hoʻohui ʻana i nā helu hope ʻelua o kēia pūʻulu helu i kēlā me kēia manawa e kiʻi i ka mea aʻe, a ʻo ia ka ad infinitum. Hāʻawi kēia: 0,1,1,2,3,5,8,13,21,34 ... Loaʻa kēia mau helu ma ka hoʻohui ʻana i nā helu mua ʻelua: 0 + 1 = 1, 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5 a pēlā aku.

Ma ka ʻaoʻao ʻē aʻe, aia ka lākiō gula i kapa ʻia, ʻike ʻia hoʻi ʻo ka ratio gula, ratio gula, a i ʻole ka hoʻohālikelike akua. He helu kuhi hewa ia e hōʻike ana i ka lakio ma waena o nā ʻāpana laina ʻelua. Mai ka 1 a hiki i ka 1,618. Pili kēia māhele i ka mea i manaʻo ʻia he nani a ʻike ʻia ma ke ʻano, ke kiʻi a me ka hoʻolālā.

Hoʻopili ʻia kēia mau ʻōlelo makemakika ʻelua. ʻO kahi hiʻohiʻona kaulana ʻo ka Fibonacci spiral. Inā mākou e kūkulu i kahi ʻano e pili ana i nā ʻāpana, nā ʻāpana ʻāpana a me nā pihi e hahai ana i ke kaʻina Fibonacci, ʻo ka hopena holoʻokoʻa, a me kāna mau ʻāpana, e kūlike me ka ratio gula. Nani maoli.

Fibonacci spiral: hoʻolālā kū hoʻokahi

He hoʻolālā maʻalahi kēia spiral no ka mea ʻike ʻia ma nā wahi like ʻole o ka honua honua. Eia nō naʻe, hiki ke hōʻike ʻia e nā ʻano o nā peʻa e hāʻawi i nā hopena maikaʻi loa.

ʻO kekahi o nā hoʻolālā kaulana loa ʻo ia ka spiral ponoʻī, e hōʻike ana i nā ʻāpana a me nā laina curved. Hiki ke peʻa ʻia i ka nui a ma kekahi ʻāpana o ke kino. ʻO nā ʻano hana kino i hoʻohana pinepine ʻia he minimalism, sketch, geometric, pointillism a me ka blackwork. Hoʻohui kekahi i nā helu, e like me ka ratio gula a i ʻole nā ​​helu Fibonacci.

ʻO kekahi ala kaulana loa e hōʻike ai i kēia mau loina makemakika, ʻo ia nā pūpū Nautilus, i ʻimi nui ʻia i nā peʻa. E like me nā nalu hiki ke hoʻoulu ʻia e ke ʻano Iapana kuʻuna a hōʻike maikaʻi loa i ka spiral Fibonacci.

Me ke kōkua o kēia spiral, hiki iā ʻoe ke kūkulu i nā mandala a i ʻole nā ​​ʻano geometric o nā pae like ʻole o ka paʻakikī. Hiki i kekahi o kēia mau hoʻolālā ke hana i nā illusions optical no ka mea he nui ko lākou hohonu, neʻe, a me nā ana.

ʻO ka hope, hiki iā ʻoe ke hoʻokomo i kēia spiral i kekahi kiʻi. ʻO nā hulu, nā lālā, nā ululāʻau a i ʻole nā ​​poʻo ka mea i kaulana loa. ʻO kēia ʻano haku mele e hiki ai iā ʻoe ke hoʻohui i kēia mau ʻano o nā peʻa me ka nalowale ʻole o ka lokahi holoʻokoʻa.

ʻO ka peʻa kūpono no nā mea aloha helu