Bonisa HN: Hopalong Attractor. Iklasikhi endala enembono entsha kwi-3D

Ukusuka kwiiPixels ukuya kwiiPatheni: Ukutyelela kwakhona iHopalong Attractor

Kwihlabathi lobugcisa bokubala, iisistim ezimbalwa ziphethe umtsalane olula kunye nobunzima obuvelayo beHopalong Attractor. Ichazwe okokuqala nguBarry Martin ngeminyaka yoo-1980, le algorithm yayisisiseko semizobo yekhompyuter, ehlala isetyenziselwa ukuvelisa imifanekiso emangalisayo, efana negalaksi ukusuka kwifomula elula ekhohlisayo. Kumashumi eminyaka, siye sazithanda ezi fractals kuzuko lwazo olumacala mabini. Kodwa kwenzeka ntoni xa sigqitha ngaphaya kwenqwelomoya ethe tyaba kwaye simema umlinganiselo wesithathu kwinxaki? Iprojekthi yethu yamva nje ethi "Bonisa i-HN" yenza kanye loo nto, iphefumlela ubomi obutsha kolu hlobo lwakudala ngokuphonononga iHopalong Attractor ukusuka kumbono omtsha, wevolumetric.

Ukulungisa i-Classic: Indlela i-Tractor esebenza ngayo

Entliziyweni yayo, iHopalong Attractor yakudala ngumsebenzi ophindaphindayo. Ithatha indawo yokuqala (x, y) kwaye, ngothotho lwemisebenzi yezibalo, iyitsibele kwindawo entsha. Ifomula, rhoqo inikezelwa njenge:

• x_n+1 = y_n - sign(x_n) * sqrt(|b * x_n - c|)
• y_n+1 = a - x_n

... yenza indlela yamanqaku athi, xa icwangciswe kumawaka ephindaphindwayo, idibana hayi kwindawo enye kodwa ibe yintle, isakhiwo esintsonkothileyo. Iiparamitha u-a, b, kunye no-c zisebenza njenge "DNA" yomtsalane, kunye notshintsho oluncinci olukhokelela kwiziphumo ezibonakalayo ezahlukileyo, ukusuka kumakhonkco athambileyo ajikelezayo ukuya kumaqela ashinyeneyo, afana namafu. Ingumboniso onamandla wendlela ulungelelwaniso oluntsonkothileyo olunokuvela ngayo kwimigaqo elula, eqinisekileyo.

Umgangatho omtsha wokuFumana: Utshintsho lwe-3D

Ukutsiba ukusuka kwi-2D ukuya kwi-3D kungaphezulu nje kobuqili obubonakalayo; luyilo olusisiseko lwenkqubo. Endaweni yokuvala uhambo lwendawo ukuya kwiseyile esicaba, sazise idimension yesithathu, z, evumela indawo ukuba ijikeleze esithubeni. Oku kuphunyezwa ngokwandisa isethi yenxaki, ngokwenza iluphu yengxelo apho ulungelelwaniso luka-z luphembelela indawo elandelayo ka-x kunye no-y, kunye nokuphembelela. Isiphumo asiseyo smear esicaba, esifana nenyele, kodwa sisakhiwo esiguqukayo, esine-dimensional ezintathu onokuthi uyijikeleze kwaye ubhabhe ngayo. Iipateni zifumana ubunzulu, ukuthungwa, kunye nengqiqo yobukho bomzimba obungenakwenzeka ekuqulunqweni kokuqala. Kufana nokuthelekisa ifoto yenebula kwisiphekepheke esibhabha kuyo.

"Ukubona i-Hopalong Attractor kwi-3D akukhona nje ukwenza ukuba kubonakale kupholile. Kumalunga nokutyhila iileyile ezifihliweyo zokuziphatha kunye nesakhiwo esasihlala sikhona kwimathematika, kodwa i-latent. Kusinyanzela ukuba sibuze imibuzo emitsha malunga nokuguquguquka kwenkqubo kunye nokuzinza. "

Ukusuka kwiiNjiko eziNxulutywayo ukuya kwiiNkqubo eziBambiseneyo: UQhakamshelwano lweMewayz

Le projekthi ihambelana nzulu nomsebenzi wethu eMewayz. Kumphezulu, umdaniso wesiphithiphithi wenqaku elinye elilandela i-algorithm ye-Hopalong ibonakala ingenanto yakwenza nenkqubo yokusebenza kweshishini. Kodwa jonga ngokusondeleyo, kwaye ukuhambelana kuyamangalisa. Kanye njengokuba isiseko semathematika esibonakala singenamkhethe sivelisa ulwakhiwo oluhambelanayo noluhle, ishishini yinkqubo entsonkothileyo apho imisebenzi yabantu abaninzi, amanqaku edatha, kunye nokusebenzisana kweqela kunokuziva kuphazamisekile. Amandla enkqubo efana ne-Mewayz kukukwazi ukusebenza njengomtsalane, ukubonelela ngesakhelo esicwangcisiweyo-uhlobo oluthile lomxhuzulane wombutho-olutsala ezi zinto zihlukeneyo zibe yinto edibeneyo, esebenzayo, kunye nebonakalayo. Ngokuhambisa iHopalong kwi-3D, safumana ukuqonda okupheleleyo ngobume bayo; ngokufanayo, i-Mewayz ihambisa imisebenzi yoshishino ukusuka kubugqwirha be-2D be-spreadsheets kunye nee-imeyile kwindawo ecacileyo ye-3D apho yonke into inendawo yayo kunye nenjongo.

Umtsalane oQinisekisayo woBuntsonkotha obuPhumayo

Umbono omtsha we-3D kwi-Hopalong Attractor usebenza njengesikhumbuzo esihle sokuba neendlela ezinyathelwe kakuhle zingakhokelela ekufumaneni okutsha xa kujongwa kwi-angle eyahlukileyo. Igxininisa umgaqo esiwuthanda kakhulu eMewayz: ukuntsonkotha akufuneki ukuba koyike. Nokuba kubugcisa bemathematika okanye kushishino, isakhelo esilungileyo sinokuguqula isiphithiphithi sibe sicacileyo, siveze iipateni ezintle ezifihlwe ngaphakathi. Siyakumema ukuba ungajongi nje le ndalo mitsha ye-3D, kodwa uyiphonononge, ubone ukuba utshintsho lweparameter nganye luyidala njani indalo entsha yemo, kwaye ucinge ukuba ukuzisa umgangatho omtsha wombutho kumsebenzi wakho kunokutyhila indlela entle nesebenzayo yokusebenza.

Imibuzo Ebuzwa Rhoqo

Ukusuka kwiiPixels ukuya kwiiPatheni: Ukutyelela kwakhona iHopalong Attractor

Kwihlabathi lobugcisa bokubala, iisistim ezimbalwa ziphethe umtsalane olula kunye nobunzima obuvelayo beHopalong Attractor. Ichazwe okokuqala nguBarry Martin ngeminyaka yoo-1980, le algorithm yayisisiseko semizobo yekhompyuter, ehlala isetyenziselwa ukuvelisa imifanekiso emangalisayo, efana negalaksi ukusuka kwifomula elula ekhohlisayo. Kumashumi eminyaka, siye sazithanda ezi fractals kuzuko lwazo olumacala mabini. Kodwa kwenzeka ntoni xa sigqitha ngaphaya kwenqwelomoya ethe tyaba kwaye simema umlinganiselo wesithathu kwinxaki? Iprojekthi yethu yamva nje ethi "Bonisa i-HN" yenza kanye loo nto, iphefumlela ubomi obutsha kolu hlobo lwakudala ngokuphonononga iHopalong Attractor ukusuka kumbono omtsha, wevolumetric.

Ukulungisa i-Classic: Indlela i-Tractor esebenza ngayo

Entliziyweni yayo, iHopalong Attractor yakudala ngumsebenzi ophindaphindayo. Ithatha indawo yokuqala (x, y) kwaye, ngothotho lwemisebenzi yezibalo, iyitsibele kwindawo entsha. Ifomula, rhoqo inikezelwa njenge:

Umgangatho omtsha wokuFumana: Utshintsho lwe-3D

Ukutsiba ukusuka kwi-2D ukuya kwi-3D kungaphezulu nje kobuqili obubonakalayo; luyilo olusisiseko lwenkqubo. Endaweni yokuvala uhambo lwendawo ukuya kwiseyile esicaba, sazise idimension yesithathu, z, evumela indawo ukuba ijikeleze esithubeni. Oku kuphunyezwa ngokwandisa isethi yenxaki, ngokwenza iluphu yengxelo apho ulungelelwaniso luka-z luphembelela indawo elandelayo ka-x kunye no-y, kunye nokuphembelela. Isiphumo asiseyo smear esicaba, esifana nenyele, kodwa sisakhiwo esiguqukayo, esine-dimensional ezintathu onokuthi uyijikeleze kwaye ubhabhe ngayo. Iipateni zifumana ubunzulu, ukuthungwa, kunye nengqiqo yobukho bomzimba obungenakwenzeka ekuqulunqweni kokuqala. Kufana nokuthelekisa ifoto yenebula kwisiphekepheke esibhabha kuyo.

Ukusuka kwiiNjiko eziNxulutywayo ukuya kwiiNkqubo eziBambiseneyo: UQhakamshelwano lweMewayz

Le projekthi ihambelana nzulu nomsebenzi wethu eMewayz. Kumphezulu, umdaniso wesiphithiphithi wenqaku elinye elilandela i-algorithm ye-Hopalong ibonakala ingenanto yakwenza nenkqubo yokusebenza kweshishini. Kodwa jonga ngokusondeleyo, kwaye ukuhambelana kuyamangalisa. Kanye njengokuba isiseko semathematika esibonakala singenamkhethe sivelisa ulwakhiwo oluhambelanayo noluhle, ishishini yinkqubo entsonkothileyo apho imisebenzi yabantu abaninzi, amanqaku edatha, kunye nokusebenzisana kweqela kunokuziva kuphazamisekile. Amandla enkqubo efana ne-Mewayz kukukwazi ukusebenza njengomtsalane, ukubonelela ngesakhelo esicwangcisiweyo-uhlobo oluthile lomxhuzulane wombutho-olutsala ezi zinto zihlukeneyo zibe yinto edibeneyo, esebenzayo, kunye nebonakalayo. Ngokuhambisa iHopalong kwi-3D, safumana ukuqonda okupheleleyo ngobume bayo; ngokufanayo, i-Mewayz ihambisa imisebenzi yoshishino ukusuka kubugqwirha be-2D be-spreadsheets kunye nee-imeyile kwindawo ecacileyo ye-3D apho yonke into inendawo yayo kunye nenjongo.

Umtsalane oQinisekisayo wokuNxaxa okuNxulumayo

Umbono omtsha we-3D kwi-Hopalong Attractor usebenza njengesikhumbuzo esihle sokuba neendlela ezinyathelwe kakuhle zingakhokelela ekufumaneni okutsha xa kujongwa kwi-angle eyahlukileyo. Igxininisa umgaqo esiwuthanda kakhulu eMewayz: ukuntsonkotha akufuneki ukuba koyike. Nokuba kubugcisa bemathematika okanye kushishino, isakhelo esilungileyo sinokuguqula isiphithiphithi sibe sicacileyo, siveze iipateni ezintle ezifihlwe ngaphakathi. Siyakumema ukuba ungajongi nje le ndalo mitsha ye-3D, kodwa uyiphonononge, ubone ukuba utshintsho lweparameter nganye luyidala njani indalo entsha yemo, kwaye ucinge ukuba ukuzisa umgangatho omtsha wombutho kumsebenzi wakho kunokutyhila indlela entle nesebenzayo yokusebenza.