ʻO ka Pua o ke Ola he ʻano geometric kaulana, e like me ka pua, i ʻike ʻia ma nā luakini, nā palapala lima, a, i kēia manawa hou, i loko o ka moʻomeheu kaulana no nā tausani makahiki. He kuleana ko ke ʻano i ka esotericism. E hoʻowahāwahā mākou i kēlā mau mea āpau ma aneʻi a e kālele ana i ke kūkulu maʻalahi ʻana o ke ʻano geometric, nona nā pōʻai he nui i hoʻokaʻawale like ʻia a uhi ʻia.
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 kahakiʻi i kahi pōʻai \(K_1\) me ke radius \(r>0\) i waenakonu ma \(m_1\) a me kahi pōʻai ʻelua \(K_2\) me ke radius \(r\) i waenakonu ma \(m_2 \in K_1\) . I kēia manawa, ua hoʻokō nā pōʻai ʻē aʻe a pau \(K_n\) i kēia waiwai: Loaʻa iā lākou kēlā me kēia ke radius \(r\) a me ke kikowaena \(m_n\) ma kekahi wahi e hui ai 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.