Kubira Super Mario 64 uchishandisa nzvimbo dzekuvhara

Kupfuura Chidzitiro: Kana Vhidhiyo Mitambo Yakasangana neAbstract Mathematics

Munyika yesoftware, isu tinowanzo funga nezvezvirongwa seanotemerwa uye akagadziriswa. Kupinda kwakapihwa kunofanirwa kugara kuchiburitsa zvakafanana, handiti? Super Mario 64, anodiwa 1996 papuratifomu, anoita senge muenzaniso wakakwana weizvi. Mitemo yechadenga chayo inoita seyakakwana: kusvetukira pamuvengi, inofa; ukawira mugomba, unorasikirwa noupenyu. Nekudaro, nharaunda yakazvitsaurira yevanomhanyisa uye hobbyist programmers vakapedza makumi emakore vachiongorora mipendero yenyika ino yedhijitari, vachiwana labyrinth yemaglitches uye maitiro asina kutarisirwa. Zvinoshamisa ndezvokuti pfungwa yemasvomhu ye "nzvimbo dzinovhara," musoro wepamusoro we algebraic topology, unopa imwe yenzira dzakanakisa dzekunzwisisa kuti zvipingaidzo izvi zvinobvumira sei Mario kutyora mitemo yakakosha yemutambo uye kuita zvisingagoneke.

Kunzwisisa iyo Game's Coordinate System

Pamusoro payo, Super Mario 64, semitambo mizhinji ye3D, inovimba nehurongwa hwekubatanidza kuronda chinzvimbo chaMario. Nyika yemutambo inorongwa muzvikamu zvitatu: X, Y, uye Z. Mumamiriro ezvinhu akajairwa, kufamba kwaMario kunomanikidzwa nechiyero chegeometry-madziro akasimba, pasi pari kufamba. Nekudaro, ndangariro yemutambo inopera. Kumiririra chinzvimbo chaMario, mutambo wacho unoshandisa zvinochinjika zvinongokwanisa kubata humwe huwandu hwenhamba. Kana Mario akafamba kupfuura miganhu yakatarwa yezinga, izvi zvinosiyana zvinogona "kufashukira" kana "kuputira," zvichitungamira kune isingatarisirwe maitiro. Ndiko kupeta-tenderedza uku kunoita kuti pave nekubatana kunobatika kunyika isinganzwisisike yenzvimbo dzinovhara.

Chii chinonzi Nzvimbo Yekuvharisa?

Mune topology, nzvimbo inovhara ipfungwa yemasvomhu inotsanangura nzvimbo hombe "inovhara" diki kuburikidza nemepu inoenderera. Enzaniso yakapfava, isiri-technical is spiral staircase inovhara denderedzwa. Fungidzira pfungwa imwe chete pauriri hwepasi. Sezvaunofamba uchikwira masitepisi, iwe wakananga pamusoro peiyo poindi pauriri hwese. Iyo isingaperi inotenderera ndiyo "nzvimbo yekuvhara," uye denderedzwa rimwechete pauriri hwepasi ndiyo "nzvimbo yepasi." Imwe neimwe poindi pasi (hwaro) inoenderana nenhamba isingaverengeki yemapoinzi yakananga pamusoro payo pane spiral (kavha). Saizvozvowo, funga nezvesvosve riri pamukoto; mukoto idenderedzwa, asi nzira yesvosve iri padyo negoko rakatenderera riri pamusoro perekodhi inzvimbo inovhara denderedzwa iroro.

"Runako rwema glitches aya ndeokuti anoburitsa pachena chimiro chesvomhu chenyika yemutambo, chimiro chisina kumbobvira chaonekwa asi chiripo."

Parallel Universes muPeach's Castle

MuSuper Mario 64, mutambo unotarirwa nzvimbo inotambika padanho rega rega inogona kufungidzirwa se "base nzvimbo." Asi nekuda kwenzira inochengeterwa uye kuverengerwa, injini yemutambo inogadzira yakakura, inodzokorora grid yeaya mazinga. Sero rega rega riri mugridi iyi ikopi yakakwana, kana "kavha," yedanho rekutanga. Izvi ndizvo zvinonzi nevatambi "parallel universes." Kazhinji, madziro nemiganhu inochengeta Mario akavharirwa nechepakati, kopi yakarongwa. Zvakadaro, nekushandisa ma glitches chaiwo — kazhinji achibatanidza mafambiro chaiwo anoita kuti mutambo uverenge zvisizvo chinzvimbo chaMario — vatambi vanogona kumanikidza macoordinates aMario "kumonereka" kubva kune imwe yeidzi nyika dzakafanana kuenda kune imwe.

Uku ndiko kubira. Nekugadzirisa mamiriro emutambo, mutambi anogona kuita kuti Mario aite seari mu "kopi" yakasiyana zvachose yenhanho, iyo yakafanana nejometri asi yakamisikidzwa mune imwe chikamu chemutambo mukuru, uri pasi pegridi yakarongeka. Kubva pane ino nzvimbo nyowani, Mario anogona kupfuura zvipingamupinyi zvisingakundike munzvimbo yakarongwa yemutambo. Chinhu chakakosha kuziva ndechekuti pfungwa yemutambo inongotarisa kana kudhumhana uye kukonzeresa mukati me "kopi" yazvino Mario ari mukati. Nekufamba pakati penzvimbo idzi dzakafanana, Mario anogona kunyatsopinda nemumadziro kana kufamba madaro akakura ipapo.

• The Infinite Staircase: Muenzaniso une mukurumbira unosanganisira kusvika pane zvinoita sezvisingaperi masitepisi pasina kuunganidza nyeredzi dzinodiwa. Nekuita manyemwe chaiwo, vatambi vanochinja Mario kuenda kune chadenga chakafanana apo chinoridza masitepisi chatobatidzwa.
• Kucheka Kumadziro: Nekugadzirisa kona yaMario nekumhanya kumadziro, vatambi vanogona kumanikidza makongiresi ake kuti afashukire mu "kopi" iri padyo nekamuri, zvichimubvumira kufamba nepakati pezvinhu zvakasimba.
• Speedrun Shortcuts: Maitiro aya akakosha pakumhanya, zvinobvumira vatambi kuti vapedze mutambo nemaminetsi nekusvetuka zvikamu zvakakura zvemutambo waunoda.

Kuvaka Sistimu Yakabatana, Kwete Iyo Inonyepa

Nepo kubira mutambo kunoratidza zvinonakidza zvakavanzika zvimiro, munyika yebhizinesi software, kusafungira muvengi. Bhizinesi rekushandisa system rinofanira kuva rakavimbika uye rinoenderana. Apa ndipo panoita huzivi kuseri kwepuratifomu seMewayz pahunoshoropodza. Mewayz yakagadzirirwa se modular bhizinesi OS kuti ipe yakabatana uye yakanyatsotsanangurwa nharaunda yekushanda kwako. Panzvimbo peiyo isina kusimba sisitimu uko shanduko diki dzinogona kutungamira kune njodzi uye isingatarisirwe mhedzisiro (sekunge kurongeka mafashama), Mewayz inopa yakagadzikana, yakabatanidzwa mamodule eCRM, manejimendi manejimendi, uye kutaurirana. Chinangwa ndechekugadzira kufambiswa kweseamless uko data inoyerera zvakafanotaurwa pakati pemamodule, ichikupa iwe yakajeka uye yakarurama maonero ekushanda kwako kwese-hapana kufanana universes inodiwa. Sezvinongoita kunzwisisa kuvharika kwenzvimbo kunobatsira kutsanangura magadzirirwo akavanzika emutambo, kushandisa sisitimu yakanyatsogadzirwa seMewayz inokubatsira kunzwisisa uye kugona chimiro chechokwadi chebhizinesi rako.

Mibvunzo Inowanzo bvunzwa

Kupfuura Chidzitiro: Kana Vhidhiyo Mitambo Yakasangana neAbstract Mathematics

Munyika yesoftware, isu tinowanzo funga nezvezvirongwa seanotemerwa uye akagadziriswa. Kupinda kwakapihwa kunofanirwa kugara kuchiburitsa zvakafanana, handiti? Super Mario 64, anodiwa 1996 papuratifomu, anoita senge muenzaniso wakakwana weizvi. Mitemo yechadenga chayo inoita seyakakwana: kusvetukira pamuvengi, inofa; ukawira mugomba, unorasikirwa noupenyu. Nekudaro, nharaunda yakazvitsaurira yevanomhanyisa uye hobbyist programmers vakapedza makumi emakore vachiongorora mipendero yenyika ino yedhijitari, vachiwana labyrinth yemaglitches uye maitiro asina kutarisirwa. Zvinoshamisa ndezvokuti pfungwa yemasvomhu ye "nzvimbo dzinovhara," musoro wepamusoro we algebraic topology, unopa imwe yenzira dzakanakisa dzekunzwisisa kuti zvipingaidzo izvi zvinobvumira sei Mario kutyora mitemo yakakosha yemutambo uye kuita zvisingagoneke.

Kunzwisisa iyo Game's Coordinate System

Pamusoro payo, Super Mario 64, semitambo mizhinji ye3D, inovimba nehurongwa hwekubatanidza kuronda chinzvimbo chaMario. Nyika yemutambo inorongwa muzvikamu zvitatu: X, Y, uye Z. Mumamiriro ezvinhu akajairwa, kufamba kwaMario kunomanikidzwa nechiyero chegeometry-madziro akasimba, pasi pari kufamba. Nekudaro, ndangariro yemutambo inopera. Kumiririra chinzvimbo chaMario, mutambo wacho unoshandisa zvinochinjika zvinongokwanisa kubata humwe huwandu hwenhamba. Kana Mario akafamba kupfuura miganhu yakatarwa yezinga, izvi zvinosiyana zvinogona "kufashukira" kana "kuputira," zvichitungamira kune isingatarisirwe maitiro. Ndiko kupeta-tenderedza uku kunoita kuti pave nekubatana kunobatika kunyika isinganzwisisike yenzvimbo dzinovhara.

Chii chinonzi Nzvimbo Yekuvharisa?

Mune topology, nzvimbo inovhara ipfungwa yemasvomhu inotsanangura nzvimbo hombe "inovhara" diki kuburikidza nemepu inoenderera. Enzaniso yakapfava, isiri-technical is spiral staircase inovhara denderedzwa. Fungidzira pfungwa imwe chete pauriri hwepasi. Sezvaunofamba uchikwira masitepisi, iwe wakananga pamusoro peiyo poindi pauriri hwese. Iyo isingaperi inotenderera ndiyo "nzvimbo yekuvhara," uye denderedzwa rimwechete pauriri hwepasi ndiyo "nzvimbo yepasi." Imwe neimwe poindi pasi (hwaro) inoenderana nenhamba isingaverengeki yemapoinzi yakananga pamusoro payo pane spiral (kavha). Saizvozvowo, funga nezvesvosve riri pamukoto; mukoto idenderedzwa, asi nzira yesvosve iri padyo negoko rakatenderera riri pamusoro perekodhi inzvimbo inovhara denderedzwa iroro.

Parallel Universes muPeach's Castle

MuSuper Mario 64, mutambo unotarirwa nzvimbo inotambika padanho rega rega inogona kufungidzirwa se "base nzvimbo." Asi nekuda kwenzira inochengeterwa uye kuverengerwa, injini yemutambo inogadzira yakakura, inodzokorora grid yeaya mazinga. Sero rega rega riri mugridi iyi ikopi yakakwana, kana "kavha," yedanho rekutanga. Izvi ndizvo zvinonzi nevatambi "parallel universes." Kazhinji, madziro nemiganhu inochengeta Mario akavharirwa nechepakati, kopi yakarongwa. Zvakadaro, nekushandisa ma glitches chaiwo — kazhinji achibatanidza mafambiro chaiwo anoita kuti mutambo uverenge zvisizvo chinzvimbo chaMario — vatambi vanogona kumanikidza macoordinates aMario "kumonereka" kubva kune imwe yeidzi nyika dzakafanana kuenda kune imwe.

Kuvaka Sistimu Yakabatana, Kwete Iyo Inonyengerera

Nepo kubira mutambo kunoratidza zvinonakidza zvakavanzika zvimiro, munyika yebhizinesi software, kusafungira muvengi. Bhizinesi rekushandisa system rinofanira kuva rakavimbika uye rinoenderana. Apa ndipo panoita huzivi kuseri kwepuratifomu seMewayz pahunoshoropodza. Mewayz yakagadzirirwa se modular bhizinesi OS kuti ipe yakabatana uye yakanyatsotsanangurwa nharaunda yekushanda kwako. Panzvimbo peiyo isina kusimba sisitimu uko shanduko diki dzinogona kutungamira kune njodzi uye isingatarisirwe mhedzisiro (sekunge kurongeka mafashama), Mewayz inopa yakagadzikana, yakabatanidzwa mamodule eCRM, manejimendi manejimendi, uye kutaurirana. Chinangwa ndechekugadzira kufambiswa kweseamless uko data inoyerera zvakafanotaurwa pakati pemamodule, ichikupa iwe yakajeka uye yakarurama maonero ekushanda kwako kwese-hapana kufanana universes inodiwa. Sezvinongoita kunzwisisa kuvharika kwenzvimbo kunobatsira kutsanangura magadzirirwo akavanzika emutambo, kushandisa sisitimu yakanyatsogadzirwa seMewayz inokubatsira kunzwisisa uye kugona chimiro chechokwadi chebhizinesi rako.