Pua o ke ola

ʻO ka Flower of Life kahi ʻano like, pua-like, geometric i ʻike ʻia i loko o nā luakini, nā palapala, a no kekahi manawa ma ka moʻomeheu pop no nā makahiki he mau kaukani. Hoʻokani pū ke kumu i ka esotericism. Hoʻowahāwahā mākou i kēia mau mea āpau i kēia kiko a noʻonoʻo i ka hana maʻalahi o ke ʻano geometric, kahi i haku ʻia o kekahi mau kaulike kaulike, a me nā kaiapuni āpau.


ʻO ke kinona, i ʻike ʻia e nā poʻe he ʻano hemolele kūlike ʻole, he ʻeono a me ka simmmetry a ʻike ʻia e nā akeakamai, nā mea kākau hale a me nā mea pena kiʻi a puni ka honua. He maʻalahi kā lākou hana hana recursive.

E kaha i kahi pōʻai \(K_1\) me ka radius \(r>0\) a puni ke kikowaena \(m_1\) a me ka lua o ka pōʻai \(K_2\) me ka radius \(r\) a puni ke kikowaena \(m_2 \in K_1\) . E \(K_n\) aʻe āpau \(K_n\) kēia mau waiwai: Loaʻa iā lākou i ka radius \(r\) a me kahi kiko waena \(m_n\) i kēlā me kēia kiko o ka huina o nā pōʻai ma mua.

Kapa ʻia ke kekelē \(g\) kahi lauana \( \text{round} \left( \frac{ max(\overline{m_n m_1})}{r} \right) -1\) . Huki wale mākou i nā pōʻai inā \(\overline{m_n m_1} > g+1\) paʻa. ʻO ka hope, hoʻopili mākou i ke kumu me ka pōʻai o ka radius \(r \cdot g\) a puni ke kikowaena \(m_1\) . I ka mana "koʻikoʻi" o ka Flower of Life, nā pōʻai āpau me \(\text{round}\left( \overline{m_n m_1} \right) = g\) a i ʻole \(\text{round} \left( \overline{m_n m_1} \right) = g-1\) ua kaha ʻia kēlā mau \(K_k\) i waena o ko lākou mau kiko kuʻina me nā pōʻai āpau \(K_k\) me \(\text{round} \left( \overline{m_k m_1} \right) = g-1\) a i ʻole \(\text{round} \left( \overline{m_k m_1} \right) = g-2\) .

Me SVG.js a me kekahi trigonometry kula e kūkulu mākou i kahi pua o ke ola o kēlā me kēia kekelē:

See the Pen Flower of Life by David Vielhuber (@vielhuber) on CodePen.

Hope