Geometry Fractal - ummangaliso emangalisayo

Le mbono "geometry Fractal" yaye "Fractal" kwavela 70 emva kwexesha., Yaye ke Kwisiqingatha sesibini 80s, baye babe yinxalenye isigama of badwelisi benkqubo, zezibalo kunye abarhwebi zemali. Igama elithi "Fractal" livela kwisiLatini "fractus" kwaye eliguqulelwe ngokuthi "iziqwenga ezibandakanya." La magama ngo-1975, i-American kunye sisazinzulu French Benoit Mandelbrot amagqabantshintshi isakhiwo engacwangciswanga kodwa self-efanayo, leyo ke wenza. Ngowe-1977 wapapasha incwadi yakhe, apho ezinikele ngokupheleleyo kule meko elikhethekileyo ezintle geometry Fractal zendalo.

Sam Benoit Mandelbrot yaba kwezezibalo, kodwa elithi "Fractal" alibhekiseli iingqiqo zemathematika. Ngokuqhelekileyo, oko kwakuthetha ukuba imilo nezejometri ukuba enye okanye ngaphezulu kwezi zakhiwo zilandelayo:

1) kunye nokwanda kubume bayo ibhaqe ezintsonkothileyo;

2) 'ithile enoba kukancinane okanye kakhulu, eli nani iyafana ngokwayo;

3) oko kwakhiwa kusetyenziswa inkqubo recursive;

4) ukuba luphawulwa iqhezu Hausdorff (Fractal) ubukhulu yethopholoji kunene.

geometry Fractal - oku revolution ngokwenene nenkcazelo zemathematika wendalo. Unga sebenzisa oku ukuba ukuchaza ihlabathi kucacile kakhulu ngakumbi kunokuba sezibalo yemveli okanye physics. Ngokomzekelo, okukhe kwenziwa. intshukumo ezibonakala random amasuntswana othuli kumiswe emanzini, kukho chaos ngokupheleleyo. Noko ke, nalapha kukho geometry Fractal. motion kakubi okukhe unalo luphawu frequency ezinokuthi zisetyenziswe ukuqikelela iziganeko kunye nenani elikhulu kwedatha yeenkcukacha-manani. Oku nje kodwa libangele wothuka. Noko ke, okukhe yanceda ngexesha labo Mandelbrot ukuqikelela ukuhla kwamaxabiso kwixabiso loboya.

geometry Fractal liye lasetyenziswa ngokubanzi kwimizobo computer. Cinga nje ukuba kufuneka wenze iprogram ungabonisa imodeli-onamacala amathathu elunxwemeni, ezintabeni okanye ngohlangothi yehlathi. Ziziphi ifomula achaza kuyenzeka? Yintoni ukusebenzisa imisebenzi? Kwaye apha beze fractals uncedo. Jonga isebe elincinane - le mfanekiselo encane umthi omkhulu. A ilifu ezincinane uhlobo amafu ezinkulu, kwaye molecule - a analogu omncinane lo mnyele. Ngoko ke, usebenzisa ifomula ukwenzeka, oko kukuthi, abo bazibiza, kunokwenzeka ukuba ukulinganisa umfanekiso ngokoqobo kakhulu.

geometry Fractal ifumana isicelo yayo bokwakha, arts (Impressionism Fractal). Ivuso ngexesha lakhe ukupeyinta Jackson Pollock esihle. Ngoncedo lwe shishino fractals yenze idabi lokwenene - phambi kokuba iimpawu ngumntu zange ndabona sengqiqweni kangaka. Osoqoqosho sebenzisa ukuba baqashele ekuhambeni izibambiso nokunyuka. World fractals kwiivenkile emangalisa baninzi, ngenxa yokuba ulwimi ophilayo endalo, ngubani na olaziyo apho kwafunyaniswa uya lokutyhala abantu kule minyaka 5-10 ezayo?