Nuna HN: Hopalong Mai jan hankali. Tsohon al'ada tare da sabon hangen nesa a cikin 3D

Daga Pixels zuwa Alamu: Sake ziyartan Mai jan hankalin Hopalong

A cikin duniyar fasahar lissafi, ƴan tsarukan sun mallaki sauƙin fara'a da ƙaƙƙarfan ƙaƙƙarfan mai jan hankali na Hopalong. Da farko Barry Martin ya bayyana a cikin 1980s, wannan algorithm ya kasance babban jigon zanen kwamfuta na farko, galibi ana amfani da shi don samar da hotuna masu ban sha'awa, masu kama da galaxy daga tsari mai sauƙi na yaudara. Shekaru da yawa, mun sha'awar waɗannan fractals a cikin girman girman su biyu. Amma menene zai faru idan muka wuce saman jirgin sama kuma muka gayyato girma na uku cikin lissafin? Aikin mu na ''Show HN'' na kwanan nan ya yi daidai da haka, yana numfasawa sabuwar rayuwa cikin wannan tsohuwar al'ada ta hanyar binciko Mai jan hankalin Hopalong daga sabo, hangen nesa mai girma.

Gwargwadon Classic: Yadda Mai jan hankali ke Aiki

A cikin zuciyarsa, ƙwararren Hopalong Attractor aiki ne mai jujjuyawa. Yana ɗaukar wurin farawa (x, y) kuma, ta hanyar jerin ayyukan lissafi, tsalle shi zuwa sabon wuri. Ƙididdigar, sau da yawa ana bayar da ita kamar:

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

... yana haifar da hanyar maki waɗanda idan aka ƙulla ƙulle-ƙulle sama da dubunnan taswirori, ba za su haura zuwa wuri ɗaya ba amma zuwa kyakkyawan tsari mai rikitarwa. Ma'auni a, b, da c suna aiki azaman "DNA" na mai jan hankali, tare da canje-canje na mintina wanda ya haifar da sakamako na gani daban-daban, daga zobba na orbital zuwa mai yawa, gungu masu kama da gajimare. Yana da ƙaƙƙarfan nuni na yadda hadadden tsari zai iya tasowa daga ƙa'idodi masu sauƙi, ƙayyadaddun ƙayyadaddun ƙa'idodi.

Sabon Girman Ganowa: Canjin 3D

Tsalle daga 2D zuwa 3D ya wuce dabarar gani kawai; Yana da mahimmanci sake tunani na tsarin. Maimakon mu takaita tafiyar batu zuwa zane mai laushi, mun gabatar da girma na uku, z, yana barin batu ya kewaya ta sararin samaniya. Ana samun wannan ta hanyar tsawaita saitin equation, ƙirƙirar madaidaicin ra'ayi inda z-coordinate ke tasiri matsayi na x da y na gaba, da mataimakinsa. Sakamakon baya zama lebur, mai kama da galaxy, amma tsari ne mai ƙarfi, mai girma uku wanda zaku iya kewayawa kuma ku tashi. Samfuran suna samun zurfi, rubutu, da ma'anar kasancewar jiki wanda ba zai yiwu ba a cikin tsarin asali. Yana kama da kwatanta hoton nebula da jirgin ruwa da ke shawagi a cikinsa.

"Yin kallon Hopalong Attractor a cikin 3D ba wai kawai don sanya shi ya zama mai sanyaya ba. Yana da game da gano ɓoyayyun nau'ikan halaye da tsarin da suka kasance a koyaushe a cikin ilimin lissafi, amma latent. Yana tilasta mana mu tambayi sababbin tambayoyi game da tsarin tsarin da kwanciyar hankali. "

Daga Haɗin kai zuwa Tsarin Haɗin kai: Haɗin Mewayz

Wannan aikin yana jin daɗin aikinmu a Mewayz. A saman, raye-rayen hargitsi na maki guda da ke bin Hopalong algorithm da alama ba su da alaƙa da tsarin aiki na kasuwanci na zamani. Amma duba kusa, kuma a layi daya yana da ban mamaki. Kamar dai yadda tsarin ƙa'idodin lissafin bazuwar ke haifar da daidaiton tsari mai kyau, kasuwanci tsari ne mai sarƙaƙƙiya inda ayyuka na ɗaiɗaikun mutane marasa ƙima, wuraren bayanai, da hulɗar ƙungiya za su iya jin rudani. Ƙarfin tsarin kamar Mewayz shine ikonsa na yin aiki a matsayin mai jan hankali, samar da tsarin da aka tsara-wani nau'i na nauyin kungiya-wanda ke jawo waɗannan abubuwa masu banƙyama a cikin haɗin kai, inganci, da bayyane gaba ɗaya. Ta hanyar motsa Hopalong zuwa 3D, mun sami cikakkiyar fahimtar yanayinsa; Hakazalika, Mewayz yana motsa ayyukan kasuwanci daga ɓarna na 2D na maƙunsar rubutu da imel zuwa cikin fili na 3D inda komai yana da wurinsa da manufarsa.

Dawwamammen Ƙarfafawar Haɗin Gaggawa

Sabuwar hangen nesa na 3D akan Hopalong Attractor yana aiki azaman tunatarwa mai kyau cewa ko da hanyoyin da aka tattake da kyau na iya haifar da sabbin bincike idan aka duba su ta wani kusurwa daban. Yana jaddada ƙa'idar da muke riƙe da ƙauna a Mewayz: rikitarwa ba dole ba ne ya zama mai ƙarfi. Ko a cikin fasahar lissafi ko a kasuwanci, tsarin da ya dace zai iya canza hargitsi zuwa tsabta, yana bayyana kyawawan alamu da ke ɓoye a ciki. Ba muna gayyatar ku da ku kalli waɗannan sabbin abubuwan ƙirƙira na 3D kawai ba, amma don bincika su, don ganin yadda kowane juzu'i ke haifar da sabon nau'i na sararin samaniya, kuma ku yi la'akari da yadda kawo sabon tsarin ƙungiya zuwa naku aikin zai iya bayyana mafi kyawun kuma ingantaccen hanyar aiki.

Tambayoyin da ake yawan yi

Daga Pixels zuwa Alamu: Sake ziyartan Mai jan hankalin Hopalong

A cikin duniyar fasahar lissafi, ƴan tsarukan sun mallaki sauƙin fara'a da ƙaƙƙarfan ƙaƙƙarfan mai jan hankali na Hopalong. Da farko Barry Martin ya bayyana a cikin 1980s, wannan algorithm ya kasance babban jigon zanen kwamfuta na farko, galibi ana amfani da shi don samar da hotuna masu ban sha'awa, masu kama da galaxy daga tsari mai sauƙi na yaudara. Shekaru da yawa, mun sha'awar waɗannan fractals a cikin girman girman su biyu. Amma menene zai faru idan muka wuce saman jirgin sama kuma muka gayyato girma na uku cikin lissafin? Aikin mu na ''Show HN'' na kwanan nan ya yi daidai da haka, yana numfasawa sabuwar rayuwa cikin wannan tsohuwar al'ada ta hanyar binciko Mai jan hankalin Hopalong daga sabo, hangen nesa mai girma.

Yana Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙarƙashin Ƙaƙwalwa

A cikin zuciyarsa, ƙwararren Hopalong Attractor aiki ne mai jujjuyawa. Yana ɗaukar wurin farawa (x, y) kuma, ta hanyar jerin ayyukan lissafi, tsalle shi zuwa sabon wuri. Ƙididdigar, sau da yawa ana bayar da ita kamar:

Sabon Girman Ganowa: Canjin 3D

Tsalle daga 2D zuwa 3D ya wuce dabarar gani kawai; Yana da mahimmanci sake tunani na tsarin. Maimakon mu takaita tafiyar batu zuwa zane mai laushi, mun gabatar da girma na uku, z, yana barin batu ya kewaya ta sararin samaniya. Ana samun wannan ta hanyar tsawaita saitin equation, ƙirƙirar madaidaicin ra'ayi inda z-coordinate ke tasiri matsayi na x da y na gaba, da mataimakinsa. Sakamakon baya zama lebur, mai kama da galaxy, amma tsari ne mai ƙarfi, mai girma uku wanda zaku iya kewayawa kuma ku tashi. Samfuran suna samun zurfi, rubutu, da ma'anar kasancewar jiki wanda ba zai yiwu ba a cikin tsarin asali. Yana kama da kwatanta hoton nebula da jirgin ruwa da ke shawagi a cikinsa.

Daga Haɗin kai zuwa Tsarin Haɗin kai: Haɗin Mewayz

Wannan aikin yana jin daɗin aikinmu a Mewayz. A saman, raye-rayen hargitsi na maki guda da ke bin Hopalong algorithm da alama ba su da alaƙa da tsarin aiki na kasuwanci na zamani. Amma duba kusa, kuma a layi daya yana da ban mamaki. Kamar dai yadda tsarin ƙa'idodin lissafin bazuwar ke haifar da daidaiton tsari mai kyau, kasuwanci tsari ne mai sarƙaƙƙiya inda ayyuka na ɗaiɗaikun mutane marasa ƙima, wuraren bayanai, da hulɗar ƙungiya za su iya jin rudani. Ƙarfin tsarin kamar Mewayz shine ikonsa na yin aiki a matsayin mai jan hankali, samar da tsarin da aka tsara-wani nau'i na nauyin kungiya-wanda ke jawo waɗannan abubuwa masu banƙyama a cikin haɗin kai, inganci, da bayyane gaba ɗaya. Ta hanyar motsa Hopalong zuwa 3D, mun sami cikakkiyar fahimtar yanayinsa; Hakazalika, Mewayz yana motsa ayyukan kasuwanci daga ɓarna na 2D na maƙunsar rubutu da imel zuwa cikin fili na 3D inda komai yana da wurinsa da manufarsa.

Dawwamammen Ƙarfafawar Haɗin Gaggawa

Sabuwar hangen nesa na 3D akan Hopalong Attractor yana aiki azaman tunatarwa mai kyau cewa ko da hanyoyin da aka tattake da kyau na iya haifar da sabbin bincike idan aka duba su ta wani kusurwa daban. Yana jaddada ƙa'idar da muke riƙe da ƙauna a Mewayz: rikitarwa ba dole ba ne ya zama mai ƙarfi. Ko a cikin fasahar lissafi ko a kasuwanci, tsarin da ya dace zai iya canza hargitsi zuwa tsabta, yana bayyana kyawawan alamu da ke ɓoye a ciki. Ba muna gayyatar ku da ku kalli waɗannan sabbin abubuwan ƙirƙira na 3D kawai ba, amma don bincika su, don ganin yadda kowane juzu'i ke haifar da sabon nau'i na sararin samaniya, kuma ku yi la'akari da yadda kawo sabon tsarin ƙungiya zuwa naku aikin zai iya bayyana mafi kyawun kuma ingantaccen hanyar aiki.