{"id":35193,"date":"2019-10-31T22:02:53","date_gmt":"2019-10-31T19:02:53","guid":{"rendered":"https:\/\/prohoster.info\/blog\/matematika-i-igra-set\/"},"modified":"2019-10-31T22:02:53","modified_gmt":"2019-10-31T19:02:53","slug":"matematika-i-igra-set","status":"publish","type":"post","link":"https:\/\/prohoster.info\/pl\/blog\/news\/matematika-i-igra-set","title":{"rendered":"Matematyka i gra \u201eSet\u201d","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><img decoding=\"async\" alt=\"Matematyka i gra \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/310b9e73ac15cf3185a7e060ad36dca8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Kto znajdzie tutaj \u201eset\u201d, dostanie ode mnie czekoladk\u0119.<\/i><\/p>\n<p>Set \u2014 to genialna gra, w kt\u00f3r\u0105 grali\u015bmy oko\u0142o 5 lat temu. Krzyki, wrzaski, robienie zdj\u0119\u0107 kombinacjom. <\/p>\n<p>W zasadach gry napisano, \u017ce wynalaz\u0142a j\u0105 w 1991 roku genetyczka Marsha Falco, robi\u0105c notatki podczas bada\u0144 nad epilepsj\u0105 u owczark\u00f3w niemieckich w 1974 roku. Dla tych, kt\u00f3rzy maj\u0105 m\u00f3zg wystarczaj\u0105co wyczerpany matematyk\u0105, po pewnym czasie pojawia si\u0119 podejrzenie, \u017ce s\u0105 tu jakie\u015b echa z planimetrii i prowadzenia prostych przez punkty. (Dla danych dw\u00f3ch kart istnieje jedna i tylko jedna karta, kt\u00f3ra tworzy z nimi jeden set.)<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\n<img decoding=\"async\" alt=\"Matematyka i gra \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/33cc906d4936e3fa25238ba28c6fcfe7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Marsha Falco jakby pyta: \u201eNo to co, nie znalaz\u0142e\u015b \u201eset\u201d?\u201d<\/i><\/p>\n<h3>Przypominamy zasady<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematyka i gra \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/31a494ebd8dbccd27454d46d3c0e3ec8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\nSet \u2014 to gra karciana. Wszystkie karty maj\u0105 cztery parametry, z kt\u00f3rych ka\u017cdy przyjmuje trzy warto\u015bci (razem 3 x 3 \u00d7 3 \u00d7 3 = 81 kart). <\/p>\n<p><img decoding=\"async\" alt=\"Matematyka i gra \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/75978b83104a01c548f251065470af2a.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nRodzaje i warto\u015bci parametr\u00f3w s\u0105 nast\u0119puj\u0105ce:<\/p>\n<ul>\n<li>kszta\u0142t ::= elipsa | romb | \u201eglut\u201d<\/li>\n<li>kolor ::= czerwony | zielony | fioletowy<\/li>\n<li>wype\u0142nienie ::= bia\u0142e | w paski | pe\u0142ne<\/li>\n<li>ilo\u015b\u0107 ::= 1 | 2 | 3<\/li>\n<\/ul>\n<p>\n<b>Cel gry<\/b> polega na znajdowaniu szczeg\u00f3lnych kombinacji trzech kart. Trzy karty nazywaj\u0105 si\u0119 \u201eset\u201d, je\u015bli w ka\u017cdym z czterech atrybut\u00f3w karty albo wszystkie s\u0105 identyczne, albo <i>wszystkie<\/i> s\u0105 r\u00f3\u017cne.<\/p>\n<p><img decoding=\"async\" alt=\"Matematyka i gra \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/004f2a2bdc76f6952c078c5f51415484.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nInnymi s\u0142owy, mo\u017cna powiedzie\u0107, \u017ce trzy karty nie b\u0119d\u0105 tworzy\u0107 seta, je\u015bli dwie karty maj\u0105 jedn\u0105 warto\u015b\u0107 parametru, a trzecia \u2014 inn\u0105. Mo\u017cna zauwa\u017cy\u0107, \u017ce dla dowolnych dw\u00f3ch kart zawsze znajdzie si\u0119 trzecia (jedyna), z kt\u00f3r\u0105 b\u0119d\u0105 setem.<\/p>\n<p><b>Przebieg gry:<\/b> prowadz\u0105cy wyk\u0142ada na st\u00f3\u0142 12 kart. Kiedy kto\u015b znajdzie set, krzyczy \u201eSet!\u201d i nast\u0119pnie spokojnie zabiera kart\u0119 tworz\u0105c\u0105 set. Je\u015bli w wy\u0142o\u017conych kartach nie ma seta (z pewno\u015bci\u0105 tylko si\u0119 wydaje, \u017ce nie ma), prowadz\u0105cy wyk\u0142ada jeszcze trzy karty.<\/p>\n<p>Maksymalna liczba kart bez seta wynosi 20. Runda trwa, dop\u00f3ki nie sko\u0144czy si\u0119 talia. Wygrywa ten, kto zebra\u0142 wi\u0119cej set\u00f3w.<\/p>\n<p>Matematyk zorganizowa\u0142 si\u0119 i przedstawili kombinacj\u0119 20 kart. Kto uwa\u017ca si\u0119 za Chucka Norrisa, mo\u017ce zapomnie\u0107 ten obrazek i spr\u00f3bowa\u0107 zebra\u0107 \u201epatians\u201d bez seta samodzielnie.<br \/>\nAlbo sprawdzi\u0107, a nu\u017c tutaj jednak jest \u201eset\u201d?<\/p>\n<h3>20 kart bez seta<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematyka i gra \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/0e939d2d5ac475941ac6cc798d99ec5f.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Wygodnie sprawdzi\u0107, \u017ce nie ma \u201esetu po kolorze\u201d.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematyka i gra \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/914b852fe424faf4bc06230d8e110b8d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Te same karty, ale uk\u0142ad pokazuje, \u017ce nie ma set\u00f3w po parametrach \u201ewype\u0142nienia\u201d.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematyka i gra \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/70cc65fab552c5215ce9c6d5342d9bc9.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Po ilo\u015bci.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematyka i gra \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/548664a37ac483a166b0f33f8bdd941d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Po kszta\u0142tach.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematyka i gra \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/418a8252c7d4d182087c3e667f4c491b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Nie ma seta wed\u0142ug r\u00f3\u017cnicy cech.<\/i><\/p>\n<h3>Otwarte nierozwi\u0105zane zadanie matematyczne<\/h3>\n<p>\nIle maksymalnie mo\u017cna po\u0142o\u017cy\u0107 kart, aby nie powsta\u0142 ani jeden 'zestaw'? Wska\u017anik ma trzy warto\u015bci.<\/p>\n<p>przy 1 'wska\u017aniku' \u2014 2 karty<br \/>\n2 wska\u017aniki \u2014 4 karty<br \/>\n3 wska\u017aniki \u2014 9 kart<br \/>\n4 wska\u017aniki \u2014 20 kart<br \/>\n5 wska\u017anik\u00f3w \u2014 45 kart<br \/>\n6 wska\u017anik\u00f3w \u2014 112 kart<br \/>\n7 wska\u017anik\u00f3w \u2014 <i>nie wiem<\/i><\/p>\n<p>A przy 'n\u2192\u221e'?<\/p>\n<h3>Wideo<\/h3>\n<p>\nTw\u00f3rca gry:<\/p>\n<p><center><div class=\"youtube-placeholder\" data-id=\"7AeEr9QtDF0\" onclick=\"loadVideo(this)\">\r\n        <img decoding=\"async\" src=\"https:\/\/img.youtube.com\/vi\/7AeEr9QtDF0\/hqdefault.jpg\" alt=\"Odtwarzaj wideo\" loading=\"lazy\" width=\"480\" height=\"360\" style=\"width:100%;height:auto;\">\r\n        <div class=\"play-button\"><\/div>\r\n    <\/div><\/center><br \/>\nAleksiej Sawwatiej b\u0142yskotliwie opowiada o Zestawie:<\/p>\n<p><center><div class=\"youtube-placeholder\" data-id=\"vwIO-kzvY5Q\" onclick=\"loadVideo(this)\">\r\n        <img decoding=\"async\" src=\"https:\/\/img.youtube.com\/vi\/vwIO-kzvY5Q\/hqdefault.jpg\" alt=\"Odtwarzaj wideo\" loading=\"lazy\" width=\"480\" height=\"360\" style=\"width:100%;height:auto;\">\r\n        <div class=\"play-button\"><\/div>\r\n    <\/div><\/center><\/p>\n<h3>Artyku\u0142y<\/h3>\n<p><\/p>\n<ul>\n<li><noindex><a rel=\"nofollow\" href=\"http:\/\/pbg.cs.illinois.edu\/papers\/set.pdf\">O Z\u0142o\u017cono\u015bci Gry W Zestaw<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/henrikwarne.com\/2011\/09\/30\/set-probabilities-revisited\/\">Prawdopodobie\u0144stwa Zestawu Odtworzone<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/homepages.warwick.ac.uk\/staff\/D.Maclagan\/papers\/set.pdf\">GRA KARCIANA ZESTAW<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/digitalcommons.ric.edu\/cgi\/viewcontent.cgi?referer=&amp;httpsredir=1&amp;article=1094&amp;context=honors_projects\">Matematyka Gry Karcianej Zestaw<\/a><\/noindex><\/li>\n<\/ul>\n<p>\u0179r\u00f3d\u0142o: <a content=\"nofollow\" rel=\"nofollow\" href=\"https:\/\/habr.com\/ru\/post\/455634\/\">habr.com<\/a><\/p>","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>\u041a\u0442\u043e \u043d\u0430\u0439\u0434\u0435\u0442 \u0442\u0443\u0442 \u00ab\u0441\u0435\u0442\u00bb, \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043e\u0442 \u043c\u0435\u043d\u044f \u0448\u043e\u043a\u043e\u043b\u0430\u0434\u043a\u0443. \u0421\u0435\u0442 \u2014 \u0433\u0435\u043d\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0438\u0433\u0440\u0430 \u0432 \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u044b \u0440\u0443\u0431\u0438\u043b\u0438\u0441\u044c \u043b\u0435\u0442 5 \u043d\u0430\u0437\u0430\u0434. \u041a\u0440\u0438\u043a\u0438, \u0432\u043e\u043f\u043b\u0438, \u0444\u043e\u0442\u043e\u0433\u0440\u0430\u0444\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0446\u0438\u0439. \u0412 \u043f\u0440\u0430\u0432\u0438\u043b\u0430\u0445 \u0438\u0433\u0440\u044b \u043d\u0430\u043f\u0438\u0441\u0430\u043d\u043e, \u0447\u0442\u043e \u0435\u0435 \u0438\u0437\u043e\u0431\u0440\u0435\u043b\u0430 \u0432 1991 \u0433\u043e\u0434\u0443 \u0433\u0435\u043d\u0435\u0442\u0438\u043a \u041c\u0430\u0440\u0448\u0430 \u0424\u0430\u043b\u043a\u043e (Marsha Falco), \u0434\u0435\u043b\u0430\u044f \u043f\u043e\u043c\u0435\u0442\u043a\u0438 \u0432\u043e \u0432\u0440\u0435\u043c\u044f \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f \u044d\u043f\u0438\u043b\u0435\u043f\u0441\u0438\u0438 \u0443 \u043d\u0435\u043c\u0435\u0446\u043a\u0438\u0445 \u043e\u0432\u0447\u0430\u0440\u043e\u043a \u0432 1974 \u0433\u043e\u0434\u0443. \u0414\u043b\u044f \u0442\u0435\u0445, \u0443 \u043a\u043e\u0433\u043e \u043c\u043e\u0437\u0433 [&hellip;]<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":26448,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[702],"tags":[],"class_list":["post-35193","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.1.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u041a\u0442\u043e \u043d\u0430\u0439\u0434\u0435\u0442 \u0442\u0443\u0442 \u00ab\u0441\u0435\u0442\u00bb, \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043e\u0442 \u043c\u0435\u043d\u044f \u0448\u043e\u043a\u043e\u043b\u0430\u0434\u043a\u0443. .\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"Yuri Gagarin\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/prohoster.info\/pl\/blog\/news\/matematika-i-igra-set\" 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