{"id":48333,"date":"2017-03-05T12:34:37","date_gmt":"2017-03-05T10:34:37","guid":{"rendered":"http:\/\/www.lovendal.ro\/wp52\/?p=48333"},"modified":"2021-06-22T01:06:03","modified_gmt":"2021-06-21T22:06:03","slug":"in-1980-oamenii-de-stiinta-au-reusit-sa-patrunda-in-a-patra-dimensiune-cu-ajutorul-calculatorului","status":"publish","type":"post","link":"https:\/\/www.lovendal.ro\/wp52\/in-1980-oamenii-de-stiinta-au-reusit-sa-patrunda-in-a-patra-dimensiune-cu-ajutorul-calculatorului\/","title":{"rendered":"\u00cen 1980, oamenii de \u015ftiin\u0163\u0103 au reu\u015fit s\u0103 p\u0103trund\u0103 \u00een a patra dimensiune, cu ajutorul calculatorului. Ast\u0103zi, \u00een ce dimensiune putem ajunge?"},"content":{"rendered":"<p><a href=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2017\/03\/hipercubul-2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-75345\" src=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2017\/03\/hipercubul-2.jpg\" alt=\"\" width=\"359\" height=\"202\" srcset=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2017\/03\/hipercubul-2.jpg 359w, https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2017\/03\/hipercubul-2-300x169.jpg 300w\" sizes=\"auto, (max-width: 359px) 100vw, 359px\" \/><\/a>De pe site-ul <a href=\"http:\/\/www.atariarchives.org\/bcc3\/showpage.php?page=73\" target=\"_blank\" rel=\"noopener\"><strong>atariarchives.org<\/strong><\/a>, am g\u0103sit \u00eentr-o revist\u0103 din anul 1980, un articol foarte interesant, din care \u00eencerc s\u0103 fac o sintez\u0103.<\/p>\n<p>Doi matematicieni de la Universitatea din Brown (prof. Thomas F. Banchoff \u015fi prof. Charles M. Strauss), au reu\u0219it s\u0103 penetreze t\u0103r\u00e2mul celei de-a patra dimensiuni prin utilizarea unor tehnici de grafic\u0103 pe calculator foarte sofisticate. Aceste studii unice permit oamenilor de \u0219tiin\u021b\u0103 s\u0103 vizualizeze ceea ce nu se poate vedea \u00een mod obi\u015fnuit.<\/p>\n<p>Cei doi profesori de la Universitatea Brown sunt printre cei foarte pu\u021bini oameni din lume care sunt capabili s\u0103 manipuleze reprezent\u0103ri vizuale ale unor concepte patru-dimensionale. Ei \u00ee\u015fi creeaz\u0103 opera instruind calculatorul s\u0103 investigheze obiecte geometrice care nu pot exista \u00een lumea noastr\u0103 tridimensional\u0103. Calculatorul apoi produce imagini pe un ecran de televiziune \u00een laboratorul de calculatoare al Universit\u0103\u0163ii Brown.<\/p>\n<p>\u00cen spa\u021biul tridimensional nu putem mi\u015fca cubul \u00eentr-o direc\u021bie perpendicular\u0103 pe ea \u00eens\u0103\u0219i pentru a genera un cub cu patru dimensiuni, sau un hipercub, dar putem vedea ce imagini ale unei asemenea a patra dimensiuni ar putea trece prin spa\u021biul nostru tridimensional. Astfel, imaginea unui cub \u00eencepe s\u0103 se \u00eendep\u0103rteze de sine \u00eens\u0103\u015fi, urm\u00e2nd o re\u0163ea care se desface \u0219i se pr\u0103bu\u0219e\u0219te \u00een ea \u00eens\u0103\u015fi. Atunci, noi observ\u0103m imaginile unui cub patru-dimensional proiectat \u00een spa\u021biul nostru.<\/p>\n<p>Hipercubul este unul dintre cele mai pu\u021bin complicate obiecte pe care prof. Banchoff \u015fi prof. Strauss le studiaz\u0103. Unele dintre acestea sunt suficiente de dificile pentru a solicita utilizarea unui stereoscop, astfel \u00eenc\u00e2t vizualiz\u0103rile acestor proiec\u021bii s\u0103 apar\u0103 cu adev\u0103rat tridimensionale. Multe dintre aceste idei au utilitate \u00een fizic\u0103 sau chiar \u00een economie.<\/p>\n<p>P.S. Dac\u0103 acum 37 de ani oamenii de \u015ftiin\u0163\u0103 puteau p\u0103trunde \u00een lumea 4-D cu ajutorul calculatorului, acum ce dimensiune s-ar putea atinge cu tehnologia actual\u0103?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>De pe site-ul atariarchives.org, am g\u0103sit \u00eentr-o revist\u0103 din anul 1980, un articol foarte interesant, din care \u00eencerc s\u0103 fac o sintez\u0103. Doi matematicieni de la Universitatea din Brown (prof. Thomas F. Banchoff \u015fi prof. Charles M. Strauss), au reu\u0219it &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"\u00cen 1980, oamenii de \u015ftiin\u0163\u0103 au reu\u015fit s\u0103 p\u0103trund\u0103 \u00een a patra dimensiune, cu ajutorul calculatorului. Ast\u0103zi, \u00een ce dimensiune putem ajunge?\" class=\"read-more button\" href=\"https:\/\/www.lovendal.ro\/wp52\/in-1980-oamenii-de-stiinta-au-reusit-sa-patrunda-in-a-patra-dimensiune-cu-ajutorul-calculatorului\/#more-48333\" aria-label=\"Cite\u0219te mai multe despre \u00cen 1980, oamenii de \u015ftiin\u0163\u0103 au reu\u015fit s\u0103 p\u0103trund\u0103 \u00een a patra dimensiune, cu ajutorul calculatorului. Ast\u0103zi, \u00een ce dimensiune putem ajunge?\">Cititi mai multe<\/a><\/p>\n","protected":false},"author":1,"featured_media":75345,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2833,106],"tags":[902,4545,4527,391,348,4547,1722,2478,2364,9803,2250],"class_list":["post-48333","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-noutati","category-stiinta","tag-calculator","tag-cub","tag-dimensiune","tag-economie","tag-fizica","tag-hipercub","tag-matematica","tag-profesor","tag-revista","tag-stiinta","tag-universitate","resize-featured-image"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v23.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>\u00cen 1980, oamenii de \u015ftiin\u0163\u0103 au reu\u015fit s\u0103 p\u0103trund\u0103 \u00een a patra dimensiune, cu ajutorul calculatorului. 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Ast\u0103zi, \u00een ce dimensiune putem ajunge? - Secretele lui Lovendal","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.lovendal.ro\/wp52\/in-1980-oamenii-de-stiinta-au-reusit-sa-patrunda-in-a-patra-dimensiune-cu-ajutorul-calculatorului\/","og_locale":"ro_RO","og_type":"article","og_title":"\u00cen 1980, oamenii de \u015ftiin\u0163\u0103 au reu\u015fit s\u0103 p\u0103trund\u0103 \u00een a patra dimensiune, cu ajutorul calculatorului. Ast\u0103zi, \u00een ce dimensiune putem ajunge?","og_description":"De pe site-ul atariarchives.org, am g\u0103sit \u00eentr-o revist\u0103 din anul 1980, un articol foarte interesant, din care \u00eencerc s\u0103 fac o sintez\u0103. Doi matematicieni de la Universitatea din Brown (prof. Thomas F. Banchoff \u015fi prof. Charles M. Strauss), au reu\u0219it ... 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