Ihluzo Fractal: incazelo, izibonelo, nezakhiwo, ubukghoni nokubhalelwa

Mathematics nezwi eligcwele ukuvumelana, ihluzo Fractal - isiqinisekiso ngqo. Isayensi likhona lapho kudalwa element ngayinye, ngakho-ke sibonisa bonke ubuhle.

UMdali geometry Fractal, uprofesa Malderbrot, wabhala ezincwadini zakhe ukuthi sinomsebenzi ngenhla nje okubili izithombe. Lokhu - isakhiwo yanoma isiphi isidalwa noma into emhlabeni, vusa eziphilayo nezingaphili. Ngokwesibonelo, i-DNA ithi ngesisekelo eyodwa ukuhlanganiswa. Kodwa uma ikhodi iqala kuphindaphindwe, khona indoda ivela.

Basics ingcaca Fractal

Kuyini ihluzo Fractal? Kuyinto eyodwa noma ngaphezulu zeJiyomethri, ngamunye okuyinto efana nezinye. Okungukuthi, isithombe yakhiwa izingxenye efanayo.

Igama elithi "Fractal" ingasetshenziswa uma ukuma has eyodwa noma ngaphezulu kulezi izindawo:

• isakhiwo Nontrivial. Uma sicabanga ingxenye encane lonke image, isinqamu iyafana yonke iphethini. Sondeza akusho ukuwohloka. Lesi sithombe njalo esasakhiwe.
• Ingxenye ngayinye sibalo self-efanayo.
• Kukhona ubukhulu zezibalo.
• Esakhiwe esebenzisa ukuphindaphinda.

izinto eziningi odabuka yemvelo noma zokwenziwa afakwa izakhiwo Fractals. Lawa isimiso sokujikeleza kwegazi nezilwane, imiqhele kanye nezimpande zezihlahla, nokunye.

Fractal eseyi sekuthandwa ngoba sifinyelele ubuhle Nokubhekana Namaqiniso kungenzeka nge ukwakha elula usebenzisa imishini ezifanele. Kuyinto kudingekile kuphela ukuze ucacise ifomula lesifanele zezibalo futhi ucacise inani ezinikezwa.

Indlela ukudala i-elementi ingcaca Fractal?

Dala ihluzo Fractal ngeke ifane kuye ngezigaba zawo: weJiyomethri, aljebra stochastic. Naphezu umehluko, umphumela uyohlale okufanayo. Njengoba ihluzo Fractal iqala geometry, kufanele ucabangele ekudalweni kwayo isibonelo esifanele:

1. imibandela eshiwo. Lesi sibalo, ngokusekelwe ngalo ozokwakhela kulo lonke isithombe.
2. Setha inqubo. Ishintsha isimo.
3. Thola i-geometry Fractal.

Ngokuvamile, zero isimo imelelwa unxantathu.

Ukwakha isithombe, udinga ukusebenzisa izinqubo ezimbili. Okokuqala, DrawTriangle. Sakhela unxantathu kwi amaphuzu ezichazwe umsebenzisi. Okwesibili, DrawGenerator. Ikhombisa inani lamaphuzu. Inqubo ngayinye ingalandwa liphindwe izikhathi eziningana noma unomphela. Ukuze ubone ukuthi lokhu ipharamitha isetshenziswa a zezinombolo agumenti n.

izenzo Okunye ihluzo Fractal

Uma isici ingcaca Fractal wadalwa ungaveza ezihlukahlukene izinyathelo ezengeziwe:

• Esonta kanye Ukwenyela. Ngakho okwandisa imininingwane ngazinye isithombe, noma bathatha umsebenzisi ukuma oyifunayo.
• Into Ukubuthelela. Ngokuvamile lo msebenzi isetshenziswa ukwabela isikali edingekayo.
• ukuguqulwa Umbala. Isithombe kungenziwa ababethi noma yimuphi umbala, kwaba yisendlalelo.
• Ukushintsha ukuma yonke into noma izingxenye ngabanye.

Kumele kukhunjulwe ukuthi Fractal isithombe ingcaca ekugcineni akukwazeki ukubikezela. Lapho unxantathu kakhulu anda, Ukubuka ngiyaphupha, umsebenzisi uzobona kuphela iwindi elimnyama. Lapho ukuthungwa oyifunayo lutholwa, zonke izinguquko kufanele kwenziwe ngendlela okuncane, njalo sigcina inketho evumelekile.

Uhlelo ukukhiqiza

Akukho muntu ababengeke ukuheha ihluzo Fractal. Izinhlelo ayehilelekile ekudaleni yayo, emelelwe ngamanani amakhulu. Ngakho-ke kubalulekile ukuba baqonde ofanele kakhulu Wabasaqalayo.

umkhiqizo Art Dabbler ukhetho best uma umsebenzisi babengakaze babe ukubhekana izintela yakhe. Awukwazi kuphela ukufunda uhlelo, kodwa futhi ufunde indlela ongasondela ngayo kuyi-computer. Izinzuzo Umphumela Uyi esincane inkumbulo futhi interface enembile.

Olunye uhlelo - Ultra Fractal. It wagxila umsebenzi ochwepheshe, Wabasaqalayo kuyoba nzima ukuqonda ke. Interface oluphakeme eziyinkimbinkimbi, kodwa abakhiqizi eseyifezile ku isibonelo Photoshop evamile. Uma umsebenzisi kwadingeka abhekane nalawo lolu hlelo, izinkinobho uzokuqonda ngokushesha. Faka Ultra Fractal Kuyaphawuleka ukuthi lapho wenziwa ihluzo Fractal hhayi kuphela nezithombe ejwayelekile futhi ezivamile, kodwa futhi izithombe. Amafomula ukulungiswa mfanekiso, kodwa umsebenzisi uzokwazi ukusebenzisa zabo uma kudingeka.

nezakhiwo ezikhona

Fractal nezakhiwo ingcaca ukunquma ifomu indlela ukugcina idatha yefayela. Ezinye zazo zifaka semali ulwazi. Ngakho-ke, kumele onomfutho. Futhi Musa ngokusebenzisa yomlando, kodwa ngokuqondile kuleli fayela. Uma kahle ukhethe, bese ukusikwa kuzokwenzeka ngokuzenzakalelayo. Kukhona ama-algorithm eziningana ezibangela lokhu inqubo.

Uma isicelo umsebenzisi, okuningi kwakho okubangelwa alondolozwa ngombala owodwa, kunengqondo ukusebenzisa format BMP futhi PCX. Lapha-ke esikhundleni ekulandelaneni amayunithi ukuphinda.

Ishadi, okuyinto ezingavamile kakhulu, kodwa isasetshenziswa ihluzo Fractal, kunengqondo wafaka TIFF noma i-GIF.

Ingxenye ifomethi jikelele. Okungukuthi, ungakwazi ukubuka nabo iningi abahleli. Kodwa uma umsebenzisi iyona ebaluleke kakhulu izinga processing image, ke udinga ukusebenzisa uhlelo soqobo.

Fractals nezakhiwo awasekelwe iziphequluli. Yingakho benza ushintsho, uma udinga ukulayisha isayithi ethile.

Fields of kwesicelo

Ukusetshenziswa ihluzo Fractal kungenziwa ngokuthi cishe ikuyo yonke indawo. Ngaphezu kwalokho, kule ndawo njalo uyanda. Kuleli qophelo kungase kuqashelwe ezindaweni ezilandelayo:

1. ihluzo Computer. Uma sibhekana namaqiniso, kuchazwa imifanekiso futhi amasayithi zemvelo. Isetshenziselwa ekudalweni imidlalo yama-computer.
2. Ukuhlaziya izimakethe isitokwe. Fractals zisetshenziselwa uqaphele ukuphindaphindwa esasiyovulela ukudlala ezandleni abahwebi.
3. natural sciences. Ngo-physics, usebenzisa ihluzo Fractal abalingisa izinqubo nonlinear. Ngo biology, ichaza isakhiwo isimiso sokujikeleza kwegazi.
4. Image kokucindezelwa ukuba inciphise inani.
5. Inethiwekhi yonkana. Esebenzisa Fractals kungenzeka ukunikeza ukuxhumana kunokuba nge control central. Ngakho-ke, inethiwekhi iba umuntu omdala ophumelelayo.

Okwamanje, umkhuba kwesicelo Fractals ekukhiqizeni imishini ehlukahlukene. Ngokwesibonelo, iphayiphi iyasebenza kakade-antenna ethola amasignali kahle.

izibonelo

Izibonelo ingcaca Fractal isakazwa bakudala ukuze izakhi eziyinkimbinkimbi kakhulu okuphindayo. Isici esikhethekile lolu hlobo ukuthi iphethini kungenziwa yenziwe yonke ngamafayela we isibabazo noma bomabuta.

Standard, kodwa izibonelo eyinkimbinkimbi ehambisana computer amayezi Fractal, izintaba, seashores nokunye. Avame lisetjentiswe ekwakheni imidlalo.

Isibonelo elula ingashiwo Koch ijika. Okokuqala, akudingeki ubude othize, futhi iyaqhubeka ibizwa ngokuthi elingapheli. Okwesibili, akukho bushelelezi ngokuphelele. Ngakho-ke, akunakwenzeka ukuba kwakhiwe tangent.

Izinzuzo nezingozi nebubi

muva ukusakazeka kwalo atholwe ihluzo Fractal. Emihle nemibi ke azicacile futhi, kusukela akukho base evamile theory. Amagama achaza izimiso yokusetshenziswa zalo bengayiqondi ngokugcwele, naphezu kweqiniso lokuthi bona ziyasebenza futhi ukusebenza.

Izinzuzo ihluzo Fractal kukhona izinto ezimbalwa:

1. Usayizi Small emikhulu umdvwebo.
2. Akukho scalability ekupheleni, eyinkimbinkimbi yesithombe kungenziwa lakhulisiwe unomphela.
3. Ayikho enye mathuluzi ukuthi kuzokuvumela ukudala bobunjwa eziyinkimbinkimbi.
4. Namaqiniso.
5. Ukwenza Izinto Zibe Lula ekudalweni kwamathuba emisebenzi.

Fractal nemibi ingcaca bukhona. Okokuqala, ngaphandle ikhompyutha ongakwazi ukuzenza. Ngaphezu kwalokho, isikhathi eside inani eziphindaphindiwe, aba maningi umthwalo CPU. Ngakho, kuphela ikhompyutha imishini eliphezulu uyakwazi ekubhekaneni ukwakhiwa kwezithombe eziyinkimbinkimbi.

Okwesibili, kuneminyango zihibe kokuqala izibalo zezibalo. Ezinye izithombe ukwakha behluleka ngu Fractals.

Lokufanako nalokwehlukile emkhatsini Fractals futhi Vector

Vector kanye ihluzo Fractal zihluke kakhulu nomunye:

1. Coding izithombe. I vector isebenzisa wabuka ezihlukile Jomethri, Fractal - ifomula zezibalo, esekelwe unxantathu amanga.
2. On isicelo. Vector isetshenziswa yonke indawo, lapho udinga ukuthola uhlaka ecacile. ihluzo Fractal kuthiwa ezikhethekile ngaphezulu, ke ithole isicelo yayo kwi-mathematics ne art.
3. Ngu Isifaniso. Vector analogue kukhona amaslayidi noma imisebenzi ku amashadi. Ngalesi Fractal - eqhwa noma zinhlayiya.

Naphezu ukuhlukahluka timphawu letehlukene kulaba ababili izinhlobo ihluzo ehlanganisa ikhwalithi yesithombe. It uhlala ingashintshiwe kungakhathaliseki lokusondeza.

I ngakuthathu, vector, raster ihluzo Fractal ngento eyodwa - konke kabanzi ngokuxazulula imisebenzi ehlukahlukene computer. Ukuze uthole isithombe ngempela eliphezulu, kubalulekile ukusebenzisa ngamunye wabo.

izici Eyingqayizivele Fractals

ihluzo Fractal ngendlela engenakuqhathaniswa. Kuyinto eyingqayizivele ngezinhlobo zayo. Okokuqala, omunye icebo lakhe elincane ongamtshela konke ngesikhathi esisodwa sibalo noma isithombe. Ulwazi mayelana konke kuyatholakala Fractal kusukela yena self-efanayo.

Esikhungweni kwanoma yimuphi umfanekiso eziphathelene lolu hlobo ihluzo, kuyinto unxantathu equilateral. Zonke ezinye imininingwane isithombe Kuphakathi ingxenye yayo, noma ukunciphisa / khulisa amakhophi. Okungukuthi, isici esithile esisodwa ehilelekile nokubhalwa isithombe.

Ukuze usebenzise ihluzo Fractal, awudingi izinto esenkumbulweni ikhompyutha. Ungakwazi baqale ukwakha, kokuba ngakwesokunene ifomula zezibalo eyodwa kuphela.

isiphetho

ihluzo Fractal zinengqondo kakhulu. Lokhu kwenzeka ngoba izingxenye kanye izakhi njalo atholakala imvelo womuntu - izintaba, amafu, lolwandle, le zemvelo ezihlukahlukene. Abanye babo namanje emi isimo esifanayo, kuhle kwemithi, ematsheni. Insali ngokuqhubekayo ushintshe njengoba kulokoza umlilo noma ilangabi igazi sidlula izitsha.

Ukuthuthukiswa ubuchwepheshe Fractal kuze kube manje - omunye amagatsha okuqhubekayo isayensi. Isetshenziselwa hhayi kuphela e-computer. Mhlawumbe uma abacwaningi Ungathola essence yabo, umuntu uzoqala ukuze uqonde kangcono kakhulu emhlabeni.