
enn-dimensional sequential move pasil

trimana sequential move pasilukalil yadhaarthavum ettavum ariyappedunnathumaaya cube aanu rubics cube. softweyaril eee pasil niravadhi vertual nadappaakkalukal nadannittundu. moonnil kooduthal alavukalil thudarchayaaya chalana pasilukal srishtikkunnathinulla swaabhaavika vipuleekaranamaanithu. atharam oru pasil orikkalum bhouthikamaayi nirmmikkaan kazhinjillengilum, avaa engane pravartthikkunnu ennathinte niyamangal ganithashaasthraparamaayi valare karsanamaayi nirvachikkappedukayum trimana jyamithiyil kaanapedunna niyamangalkk samaanavumaan. athinaal, avaa software vazhi anukarikkaan kazhiyum. mechanical sequential move pasilukaleppole, parihaarangalkkaayi recordukalundu, ennirunnaalum malsara samghadanayude athe alavu ithuvare illa.
glossery.
thaarathamya aavasyangalkkaayi, staanderd 33 rubics kyoobumaayi bandhapetta daatta inipparayunnavayaanu;
nediyedukkaavunna kombineshanukalude ennam formula _ 1
parasparam thaarathamyam cheyyumbol neekkaan kazhiyaathathinal mukha-kendra kyoobikal prathyeka kashanangalayi kanakkaakkano ennathinekkurichu chila charchakal nadakkunnundu. vyathyastha srothassukalil vyathyastha ennam kashanagal nalkaam. eee lekhanathil mukha-kendra kyoobikal kanakkakkunnu, kaaranam ithu ganitha kramangale kooduthal sthirathayullathaakkukayum avaa theerchayaayum tirikkaan kazhiyukayum cheiyunnu, ithinu parihaarathinu algorithangal aavasyamaanu. ennirunnaalum, madhyathilulla cubie kanakkakkunnilla, kaaranam ithinu drishyamaaya stikkarukalilla, athinaal pariharam aavasyamilla. ganithashaasthraparamaayi namukk undaayirikkanam
ennaal eee lekhanathil nalkiyirikkunna kanakkukalil "p" ellaayppozhum ithil ninnu (allengil eee soothravaakyathinte "n"-dimensional ekstenshan) oru kuravaanu, kaaranam "c" (allengil uyarnna alavukalkkulla anubandha uyarnna alavilulla polytope) kanakkakkunnilla.
majik 4D cube.
superliminal majik cube 4 dii software enn 4 cubukal ulppede 4 dii polytoppukalude niravadhi twisti pasil pathippukal nadappilaakkunnu. 4dii twisttukalum bramanangalum koodaathe 3dii, cubie valupavum akalavum, stikkar valupavum polulla 4dii view paaraamettarukalude niyanthranavum yuai anuvadikkunnu.
eee pasil record breaking solvarukalkkaayi superliminaal software oru haal oof faim nilanirthunnu.
34 4-cube.
nediyedukkaavunna kombineshanukal
24 4-cube.
nediyedukkaavunna kombineshanukal
44 4-cube.
nediyedukkaavunna kombineshanukal
54 4-cube.
nediyedukkaavunna kombineshanukal
majik 5dii cube.
25 muthal 75 vareyulla aarr valuppangalil 5-cube pasilukal render cheyyaan roys nelson roopakalppana cheytha majik cube 5dick kazhiyum. ithu 5dii twisttukalum niyanthranangalum anuvadikkunnu, ithu cubine onniladhikam alavukalil karakkan anuvadikkunnu, 4-dii, 5-dii veekshana niyanthranangal, cubie, stikkar akalam, valuppa niyanthranangal enniva, majik cube 4dick samaanamaan.
ennirunnaalum, oru 4-dii pasil manassilakkunnathinekkaal valare budhimuttaanu oru 5-dii pasil. thiranjeduttha cubicalum stikkarukalum oofaakkaano hailait cheyyaano ulla kazhivaanu roysinte nadappaakkalinte oru pradhana savisheshatha. ennirunnaalum, screenshottukalil ninnu kaanaan kazhiyunnathupole, nirmmicha chithrangalude sankeernathakal ippozhum valare kadinamaanu.
eee pasil record breaking solverukalkkaayi roys oru bhraanthan haal nilanirthunnu. 2011 januvari 6 vareyulla kanakkanusarichu, 5 kyoobinte 75 valippathin rund vijayakaramaya parihaarangalund.
35 5-cube.
nediyedukkaavunna kombineshanukal
25 5-cube.
nediyedukkaavunna kombineshanukal
45 5-cube.
nediyedukkaavunna kombineshanukal
55 5-cube.
nediyedukkaavunna kombineshanukal
65 5-cube.
nediyedukkaavunna kombineshanukal
75 5-cube.
nediyedukkaavunna kombineshanukal
soothravaakyam _ 22
majik cube 7dii.
andrey aastrelinte majik cube 7dii softwearinu 34 muthal 57 vareyulla panthrand valuppangalil 7 alavukalulla pasilukal render cheyyaan kazhiyum.
2016 meyy vareyulla kanakkukal prakaram 36,37,46,56 pasilukal maathramaan pariharichirikkunnathu.
maanthrika 120-sell.
120-koshangal 120 dodecahedrakal chernna 4-dii jyaamitheeya roopamaanu (4-polytope), ithu 12 pentagonukal chernna 3-dii roopamaanu. kyoobinte 4-dii analog teseract (4-cube) aanennathupole 120-sell dodecahedroninte 4-dii analog aanu. guruthwaakarshanathil ninnulla 4-dii 120-sell software sequential move pasil athinaal dodecahedroninte aakruthiyilulla megaminx, 3-dii pasil ennivayude 4-dii analog aanu.
oru vashath moonnu kyoobikal enna oru valippathil maathramaan pasil render cheythirikkunnathu, ennaal vyathyastha budhimuttukalulla aarr colouring skeemukalilaanu. muzhuvan pasil oro sellinum vyathyastha niram aavasyamaanu, athaayath 120 nirangal. eee valia ennam nirangal pasil budhimuttu vardhippikkunnu, kaaranam chila shadeukal verthirichariyaan valare budhimuttaanu. rund interlocking torikalaanu ettavum eluppamulla roopam, oro torres vyathyastha alavukalil kyoobikalude oru valayam roopappeduthunnu. colouring skeemukalude poornna pattika iprakaaramaanu;
4-dii kaazhchappaad, sell valuppam, stikkar valuppam, dooram, saadhaarana suum, bhramanam ennivaykkulla niyantranangalulla 4-dii majik cubinode valare saamyamullathaan niyanthranangal. koodaathe, torry, 4-cube cellukal, paalikal allengil valayangal ennivayude thiranjeduppine adisthaanamaakki cellukalude grouppukal poornnamaayum oof cheyyaanulla kazhivundu.
guruthwaakarshana 3dii parihaarangalkkaayi oru "haal oof faim" srishtichu, avar avayude parihaaratthinaayi oru logue phayal nalkanam. 2017 epril vareyulla kanakkukal prakaram panthrand thavana eee pasil pariharichu.
nediyedukkaavunna kombineshanukal
nediyedukkaavunna kombineshanukalude eee kanakkukoottal ganithashaasthraparamaayi theliyikkappettittilla, mathramalla ithu oru upper boundu aayi maathrame kanakkakkaan kazhiyoo. ellah "minimum chenchu" kombineshanukalum undakkaan aavashyamaaya algorithangalude oru koottatthinte nilanilpp athinte derivation anumaanikkunnu. ithuvare pariharicha samanamaaya ellah pasilukalilum pasil solvarukal avaa kandethunnathil vijayichathinaal eee algorithangal kandethillennu karuthunnathinu oru kaaranavumilla.
3x3 2d chathurashra.
2-dii rubic tharam pasil 4-dii pasil nirmmikkunnathinekkaal kooduthal nirmmikkaan kazhiyilla. moonnaam maanathil stikkarukalonnumille oru 3-dii pasil nirmmikkaan kazhiyumaayirunnu, athu pinneedu 2-dii pasil aayi pravartthikkumenkilum pasil yadhaarthathil nadappaakkunnathu vertual lokathaanu. ivide kaanichirikkunna nadappaakkal 2 dii majik cube ennu vilikkunna superliminalil ninnullathaanu.
pariharam valare nissaaramaayathinaal pasil parihaarakkaarkk valia thaalpparyamullathalla. oru kashanam twist cheythukondu sthaanathu vaykkaan kazhiyaathathaan ithinu kaaranam. oru kashanam sariyaaya sthaanathu aanenkilum sariyaaya ooriyanteshanil allatha atharam twisttukal kaikaaryam cheyyuka ennathaanu staanderd rubics cubile ettavum budhimuttulla algorithangalil chilath. uyarnna alavilulla pasilukal ullathinaal eee valachodikkal oru kashanam akathu ninnu puratthaayathinte aswasthappeduthunna roopathilekku neengunnu. uyarnna alavukalil valachodikkal undakkaanulla eee kazhivu budhimuttumaayi valareyadhikam bandhappettirikkunnavum athinaal eppozhum janapriyamaaya rubics cube pariharikkunnathile samthrupthiyundennum kaanaan 2x2x2 pasil 3x3 (athe ennam kashanagalulla) maayi thaarathamyam cheyyuka maathramaan vendathu.
nediyedukkaavunna kombineshanukal
madhyabhaagathe kashanagal parasparam thaarathamyappeduthumbol oru nischitha ooriyanteshanilaanu (staanderd 3x3x3 cubile madhyabhaagathe kashanagal pole thanne), athinaal kombineshanukalude kanakkukoottalil avaa kanakkakkunnilla.
eee pasil yadhaarthathil rubics kyoobinte yadhaartha dvimaana analog allah. oru "n"-dimensional pasil orotta polytoppile pravartthanangalude groupine ("n"-1)-dimensional speysile ("n"-1)-dimensional polytoppinte eathenkilum bhramanamaayi nirvachikkukayaanenkil, grouppinte valuppam,
mattoru vidhathil paranjaal, yadhaartha 3D pasil pole thanne neekkangalilum niyanthranangal earppeduthiyaal 2D pasil scramble cheyyaan kazhiyilla. 2dii majik cubinu yadhaarthathil nalkunna neekkangal prathiphalanatthinte pravarthanangalaanu. eee prathiphalana pravartthanam uyarnna alavilulla pasilukalilekku vyaapippikkaan kazhiyum. 3dii cubinu samanamaaya pravartthanam oru mukham neekkam cheyyukayum cubilake abhimukeekarikkunna stikkarukal upayogichu pakaram vaykkukayum cheyyum. 4-cubinu, analogus ooppareshan oru cube neekkam cheyyukayum akathu-purathu pakaram vaykkukayum cheiyunnu.
1dii projection.
david vaandershelinte majik cube 3dii yill nedaan kazhiyunna oru kazhchayaanu mattoru ithara-alavilulla pasil. 2dii computer screenil project cheythirikkunna 4-cube oru ("enn"-2)-dimensional speysilekku project cheythirikkunna oru "enn"-dimensional pasil oru pothu tharam udaaharanamaanu. ithinte 3D analog cubine oru dimensional praathinidhyathilekku project cheyyuka ennathaanu, athaanu vaandershalinte prograaminu cheyyaan kazhiyunnath.
eee pasil 1dii projection pariharichathaayi aarum avakashappettittillena vandershal vilapikkunnu. ennirunnaalum, eee pasil sambandhicha rekhakal sookshikkaathathinaal athu yadhaarthathil pariharikkappedaathayir.

