Hypercube Viewer

Ferenc Gerlits

Mayelana nalolu hlelo lokusebenza

Lolu hlelo lokusebenza liphefumulelwe incwadi Flatland ka-Edwin A. Abbott. Imayelana nomphakathi wobunjwe obuyizicaba: oonxantathu, izikwele, ama-hexagons njll, abahlala endizeni enezinhlangothi zombili ezibunjiwe ebizwa ngokuthi yiFlatland. Bangakwazi ukuhamba futhi babone ngaphakathi kwendiza yabo; bayazi ukuthi kusho ukuthini enyakatho, eningizimu, empumalanga nasentshonalanga, kepha abanakuqagela kokuphezulu noma phansi. Umlandisi walendaba nguSikwele, ovakashelwa yiCube * ngolunye usuku. Isikwele asiqondi ukuthi iyini ikhiyubhu. Encwadini, u-Skwele uchazela i-Cube ukuthi umphakathi wabo usebenza kanjani, kanti i-Cube izama ukucacisela i-Square ukuthi ubukhulu besithathu buyini.

Ukuzibonakalisa ku-Square, i-Cube kuqala ihamba iye phezulu naphansi ngeFlatland-kuqala. Okubonwa yiSikwele kungenye enye indawo eyisikwele (ukuhlangana kwe-Cube neFlatland) kungazelelwe kuvela ngaphandle kwendawo, bese kuhlala isikhashana, bese iphinda inyamalala. Ngokulandelayo, i-Cube ijikeleza ngokwayo futhi iqhubekela phambili nangaphansi onqenqemeni-kuqala. Manje iSikwele sibona umugqa uvela ngaphandle nje kwendawo, ophenduka umugqa omude omfishane, oqhubeka ubanzi futhi ube banzi isikhashana, bese uyacwila futhi ube mncane futhi, kuze kube yilapho ubuyela umugqa bese unyamalala. Ekugcineni, i-Cube ijikeleza uqobo, futhi inyakazisa phezulu naphansi kwe-vertex-kuqala. Manje i-Square ibona iphuzu livela ngaphandle kwendawo, liphenduka ibe unxantathu omncane, oluya lukhula lube lukhudlwana isikhashana, bese ama-vertices alo enqanyulwa bese liphenduka libe yi-hexagon. Lapho i-Cube iphakathi kwesigaba, iSikwele singabona ukuhlangana kweCube okuvundlile neFlatland njenge-hexagon ejwayelekile. Lapho i-Cube iqhubekela phambili, i-hexagon ibuyela emuva kunxantathu, bese iba yincane futhi incane, ekugcineni unxantathu luphenduke iphuzu bese unyamalala.

Lolu hlelo lokusebenza lwenza into efanayo ubukhulu eyodwa. Esikhundleni se-Cube evakashela abantu abahlala endizeni enezinhlangothi ezimbili, kukhombisa iHyercube (ikhebula elinemisebe emine) elihambela abantu, njengami nami, abahlala endaweni enezinhlangothi ezintathu.

Lapho uhlelo lokusebenza luqala, i-Hypercube ihlezi ubuso bayo okokuqala ngxenye yethuba elinezinhlangothi ezintathu. Singabona ukuhlangana "okuvundlile" kwe-Hypercube enesikhala sethu, okuthi, njengoba ucabanga ukuthi, ikhiyubhu enobukhulu obuthathu.

Ungahambisa ikhiyubhu endaweni yethu ngokuyihudula ngeminwe yakho. Inobuso obuyisithupha obunemibala, okuyizindawo zokuhlangana kwesikhala sethu nobuso obuyisithupha bobuso obune-Hypercube. Ubuso ngamunye weHypercube unombala ohlukile.

Ungahambisa i-Hypercube "up" ne "phansi" ekuqondeni kobubanzi besine usebenzisa isilayidi esibomvu. Lo mhlahlandlela ubhekene nawo wonke ama-axes ethu ahlanganisa u-x, y no-z, futhi kunzima ngathi ukukucabanga njengoba abantu bethu baseFlatland bekhuphukela phansi.

Ukwenza amajamo ajabulisayo, ungazungeza iHypercube usebenzisa isaladi amathathu aluhlaza okwesibhakabhaka. Lawa amaslayidi ajikeleza iHypercube ezungeza ngababili izimbazo xy, xz no-yz, ngokulandelana. Akunzima ukubona ukuthi njengoba ukwazi ukuzungeza ikhiyubhu esikhaleni sobude obuthathu endaweni ezungeze noma iyiphi i-axis eyodwa, ungazungeza i-hypercube esikhaleni esinezinhlangothi ezine ezungeze noma yiliphi i-axes.

Zama ukusetha ama-slider aluhlaza okwesibhakabhaka ukwenza i-Hypercube iqhubekele esikhaleni sethu sobuso obumbili-ubuso, umphetho-wokuqala, ne-vertex-kuqala! Lokhu kuthatha ukucabanga okuthile, kepha akunzima. Ngemuva kwalokho hambisa i-Hypercube "phezulu" nethi "phansi" usebenzisa isilayidi esibomvu, ubone ukuthi ukuhlangana kweHypercube ngezigaba zethu ezintathu-ntathu kushintsha kanjani. Ngabe ukuhlangana kwendlela kuhamba kanjani phakathi kwalezi ndlela ezintathu?

Yisiphi isimo esijabulisayo ongasenza? Yini inombolo enkulu kunazo zonke zobuso? Yini inombolo enkulu kunazo zonke yama-vertices?

I-Hypercube Viewer iyi-software yamahhala. Ungahlola futhi ulande ikhodi yomthombo ku-https: //github.com/fgerlits/hypercube

* encwadini, yi-Sphere, kepha imikhakha iyadangalisa

Yini entsha

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