Fractal geometry ndi zodabwitsa zodabwitsa

Malingaliro akuti "fractal geometry" ndi "fractal" adayambira chakumapeto kwa zaka makumi asanu ndi awiri, ndipo kuyambira theka lachiwiri la makumi asanu ndi atatu a zaka makumi asanu ndi atatu (80s) adalowa mu dikishonale ya olemba mapulogalamu, masamu komanso ochita malonda. Mawu omwewo akuti "fractal" amachokera ku Chilatini "fractus" ndipo amatembenuzidwa kukhala "zopangidwa ndi zidutswa." Mawu amenewa mu 1975, Benoit Mandelbrot, wasayansi wa ku America ndi wa ku France, adanena kuti ntchitoyi ndi yosavomerezeka koma yofanana ndi yomwe anali nayo nthawi imeneyo. Mu 1977 buku lake linasindikizidwa, lomwe linaperekedwa kwathunthu ku chinthu chodabwitsa komanso chokongola ngati maonekedwe a chilengedwe.

Benois Mandelbrot mwiniwake anali katswiri wa masamu, komabe mawu akuti "fractal" sagwiritsidwa ntchito pa mfundo za masamu. Monga lamulo, zikutanthawuza chiwerengero cha chiwerengero chimodzi ndi zina mwazinthu zotsatirazi:

1) ndi kuwonjezeka mmenemo, nyumba yovuta ikuwululidwa;

2) kumbali ina chiwerengerochi n'chofanana;

3) akhoza kumangidwa pogwiritsa ntchito njira zobwereza;

4) amadziwika ndi Hausdorff (fractal) yochepa kwambiri kusiyana ndi topological dimension.

Fractal geometry ndimasinthidwe enieni mu mafotokozedwe a masamu. Ndi chithandizo chake, mungathe kufotokozera dziko momveka bwino kusiyana ndi masamu kapena fizikia yachikhalidwe. Tenga Mwachitsanzo, gulu la Brownian. Zikuwoneka kuti chisokonezo chimayendetsa pang'onopang'ono kuthamanga kwa fumbi lokhazikika m'madzi. Komabe, ma fractal geometry amapezeka pano. Mchitidwe wosokonezeka wa Brownian uli ndi mayankhidwe ambiri omwe angagwiritsidwe ntchito kufotokozera zochitika ndi chiwerengero chachikulu cha deta. Izi sizingadabwe. Komabe, ndi gulu la Brownian limene linathandiza Mandelbrot nthawi yake kufotokozera kusintha kwa mtengo kwa ubweya wa ubweya.

Fractal geometry yapeza kwambiri kugwiritsa ntchito makompyuta. Tangoganizirani kuti mukufunikira kupanga pulogalamu yomwe ingasonyeze njira zitatu za m'mphepete mwa nyanja, mapiri kapena m'mphepete mwa nkhalango. Kodi ndizifukwa ziti zomwe aliyense angafotokoze izi? Ndi zinthu ziti zomwe mungagwiritse ntchito? Ndipo apa kuti athandize kubwera fractals. Tayang'anani pa tsamba laling'ono - ichi ndi chofanana Za mtengo wawukulu. Mtambo wawung'ono ndi chinachake ngati mtambo waukulu, ndipo molekyulu ndi kachilombo kakang'ono ka galaxy. Choncho, kugwiritsa ntchito mafomu omwe amapezeka, omwe amatchulidwa okha, n'zotheka kuwonetsa zithunzi zenizeni.

Fractal geometry imapeza ntchito yake mu zomangamanga, zojambula bwino (fractal impressionism). Zojambula za Jackson Pollack, zomwe kale zidatchuka m'nthaŵi yake, ndi chitsanzo chabwino kwambiri cha izi. Mothandizidwa ndi fractals, makampani opanga mafilimu apanga zinthu zenizeni - izi zisanachitike, zochitika zapangidwe za malo sizinayambe zakhala zenizeni. Economists amawagwiritsa ntchito kufotokozera kusinthasintha kwa chiwerengero cha zivomezi. Dziko la fractals lidali ndi zodabwitsa zambiri, chifukwa ndi chilankhulo chamoyo, ndipo ndani amadziwa mtundu wa chidziwitso chomwe chidzakankhira anthu muzaka 5-10 zotsatira?