Ijiyomethri yemvelo ye-fractal ibhekisela kujometri ebhekisela kumimo namaphethini okwenzeka emvelweni futhi engavezwa ngokungapheli. Amaphethini angabonakali ahlanganisa amaphethini amancane namakhudlwana. Amajamo acishe afane esakhiweni sawo futhi angaqhutshekwa unomphela. Amaphethini lawo, ngenxa yokumelela kwawo okungapheli, amele ukubonakaliswa kokuhleleka kwemvelo okukhona yonke indawo. Kulo mongo, umuntu uvame ukukhuluma ngalokho okubizwa ngokuthi i-fracality.

I-geometry ye-Fractal yemvelo

I-fractality ichaza impahla ekhethekile yento namandla okumele ivezwe ngendlela efanayo, ephindaphindayo namaphethini kuzo zonke izindiza ezikhona. I-fractal geometry yemvelo yatholwa futhi yalungiswa ngeminyaka yawo-80 isazi sezibalo esiphayonayo nesigxile esikhathini esizayo u-Benoît Mandelbrot ngosizo lwekhompyutha ye-IBM. Esebenzisa ikhompuyutha ye-IBM, u-Mandelbrot ubone ngeso lengqondo isibalo esiphindwe izikhathi eziyisigidi. Uthole ukuthi imifanekiso ewumphumela imele izakhiwo namaphethini atholakala endalweni. Lokhu kuqaphela kwaba umuzwa ngaleso sikhathi.

Ngaphambi kokuba i-Mandelbrot itholwe, zonke izazi zezibalo ezidumile zazicabanga ukuthi izakhiwo zemvelo eziyinkimbinkimbi ezifana nesakhiwo somuthi, ukwakheka kwentaba noma ukwakheka komthambo wegazi kwakungeke kubalwe, ngoba lezi zakhiwo ziwumphumela wenhlanhla kuphela. Ngenxa kaMandelbrot, nokho, lo mbono washintsha kakhulu. Ngaleso sikhathi, izazi zezibalo nososayensi kwadingeka baqaphele ukuthi imvelo ilandela uhlelo olungaguquki, uhlelo oluphakeme, nokuthi wonke amaphethini emvelo angabalwa ngezibalo. Ngalesi sizathu, ijometri ye-fractal nayo ingachazwa njengohlobo lwejometri engcwele yesimanje. Phela, kuwuhlobo lwejiyomethri engasetshenziswa ukubala amaphethini emvelo amele isithombe sayo yonke indalo.

Ngakho-ke, i-classical sacred geometry ijoyina lokhu kutholwa kwezibalo okusha, ngoba amaphethini ejometri angcwele ayingxenye yejometri ye-fractal yemvelo ngenxa yokumelela kwawo kokuphelela nokuphindaphinda. Kulo mongo kukhona futhi imibhalo ethokozisayo lapho ama-fractals ahlolwa khona ngokuningiliziwe nangemininingwane. Kudokhumentari ethi "Fractals - The Fascination of the Hidden Dimension" ukutholakala kukaManelbrot kuchazwe kabanzi futhi kuboniswa ngendlela elula ukuthi i-fractal geometry yawuguqula kanjani umhlaba ngaleso sikhathi. Idokhumentari engingayincoma kunoma ubani ofuna ukufunda okwengeziwe ngalo mhlaba ongaqondakali.