{"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\/it\/blog\/news\/matematika-i-igra-set","title":{"rendered":"Matematica e gioco \"Set\"","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><img decoding=\"async\" alt=\"Matematica e gioco &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/310b9e73ac15cf3185a7e060ad36dca8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Chi trova qui il \u00abset\u00bb ricever\u00e0 da me una cioccolata.<\/i><\/p>\n<p>Set \u00e8 un gioco geniale a cui abbiamo giocato circa 5 anni fa. Urla, grida, fotografare combinazioni. <\/p>\n<p>Nel regolamento del gioco \u00e8 scritto che \u00e8 stato inventato nel 1991 dalla genetista Marsha Falco, prendendo appunti durante la ricerca sull'epilessia nei pastori tedeschi nel 1974. Per coloro che hanno il cervello sufficientemente affaticato dalla matematica, dopo un po' sorge il sospetto che ci siano echi di pianimetria e la tracciatura di linee attraverso i punti. (Per due carte date esiste una sola e unica carta che forma un set con esse.)<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\n<img decoding=\"async\" alt=\"Matematica e gioco &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/33cc906d4936e3fa25238ba28c6fcfe7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Marsha Falco sembra chiedere: \u00abAllora, non hai trovato il 'set'?\u00bb<\/i><\/p>\n<h3>Ricordiamo le regole<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematica e gioco &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/31a494ebd8dbccd27454d46d3c0e3ec8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\nSet \u00e8 un gioco di carte. Tutte le carte hanno quattro parametri, ognuno dei quali pu\u00f2 assumere tre valori (in totale 3 x 3 \u00d7 3 \u00d7 3 = 81 carte). <\/p>\n<p><img decoding=\"async\" alt=\"Matematica e gioco &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/75978b83104a01c548f251065470af2a.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nI tipi e i valori dei parametri sono:<\/p>\n<ul>\n<li>forma ::= ellisse | rombo | \u00abgoccia\u00bb<\/li>\n<li>colore ::= rosso | verde | viola<\/li>\n<li>riempimento ::= bianco | striato | uniforme<\/li>\n<li>quantit\u00e0 ::= 1 | 2 | 3<\/li>\n<\/ul>\n<p>\n<b>Obiettivo del gioco<\/b> \u00e8 trovare combinazioni speciali di tre carte. Tre carte si chiamano \u00abset\u00bb se, per ciascuno dei quattro attributi, le carte sono tutte uguali oppure <i>tutti<\/i> differenti.<\/p>\n<p><img decoding=\"async\" alt=\"Matematica e gioco &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/004f2a2bdc76f6952c078c5f51415484.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nIn altre parole, si pu\u00f2 affermare che tre carte non formeranno un set se due carte hanno lo stesso valore di un parametro e la terza un altro. Si pu\u00f2 notare che per qualsiasi due carte trover\u00e0 sempre una terza (e peraltro unica) con cui formeranno un set.<\/p>\n<p><b>Svolgimento del gioco:<\/b> il conduttore dispone sul tavolo 12 carte. Quando qualcuno trova un set, urla \u00abSet!\u00bb e poi prende tranquillamente le carte che formano il set. Se nelle carte presentate non c'\u00e8 un set (\u00e8 probabile che sembri non esserci), il conduttore dispiega altre tre carte.<\/p>\n<p>Il numero massimo di carte senza set \u00e8 20. Il round continua fino all'esaurimento del mazzo. Vince chi ha raccolto pi\u00f9 set.<\/p>\n<p>I matematici si sono dati da fare e hanno presentato una combinazione di 20 carte. Chi si considera Chuck Norris pu\u00f2 dimenticare questa immagine e provare a raccogliere il \u00absolitario\u00bb senza set da solo.<br \/>\nO verificare, e se invece qui c'\u00e8 comunque un \u00abset\u00bb?<\/p>\n<h3>20 carte senza set<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematica e gioco &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/0e939d2d5ac475941ac6cc798d99ec5f.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>\u00c8 comodo verificare che non ci sia \u00abset per colore\u00bb.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematica e gioco &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/914b852fe424faf4bc06230d8e110b8d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Stesse carte, ma la disposizione mostra che non ci sono set per il parametro \u00abriempimento\u00bb.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematica e gioco &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/70cc65fab552c5215ce9c6d5342d9bc9.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Per quantit\u00e0.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematica e gioco &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/548664a37ac483a166b0f33f8bdd941d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Per forme.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematica e gioco &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/418a8252c7d4d182087c3e667f4c491b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Non ci sono set per differenza di caratteristiche.<\/i><\/p>\n<h3>Problema aperta non risolta della matematica<\/h3>\n<p>\nQual \u00e8 il numero massimo di carte che si possono disporre senza formare un 'set'? Un attributo ha tre valori.<\/p>\n<p>con 1 'attributo' - 2 carte<br \/>\n2 attributi - 4 carte<br \/>\n3 attributi - 9 carte<br \/>\n4 attributi - 20 carte<br \/>\n5 attributi - 45 carte<br \/>\n6 attributi - 112 carte<br \/>\n7 attributi - <i>boh<\/i><\/p>\n<p>E per 'n\u2192\u221e'?<\/p>\n<h3>Video<\/h3>\n<p>\nCreatore del gioco:<\/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=\"Guarda il video\" loading=\"lazy\" width=\"480\" height=\"360\" style=\"width:100%;height:auto;\">\r\n        <div class=\"play-button\"><\/div>\r\n    <\/div><\/center><br \/>\nAlexey Savvateev racconta brillantemente del Set:<\/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=\"Guarda il video\" 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>Articoli<\/h3>\n<p><\/p>\n<ul>\n<li><noindex><a rel=\"nofollow\" href=\"http:\/\/pbg.cs.illinois.edu\/papers\/set.pdf\">SULLA COMPLESSIT\u00c0 DEL GIOCO DEL SET<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/henrikwarne.com\/2011\/09\/30\/set-probabilities-revisited\/\">Probabilit\u00e0 del SET Riconsiderate<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/homepages.warwick.ac.uk\/staff\/D.Maclagan\/papers\/set.pdf\">IL GIOCO DI CARTE SET<\/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\">La Matematica del Gioco di Carte Set<\/a><\/noindex><\/li>\n<\/ul>\n<p>Fonte: <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\/it\/blog\/news\/matematika-i-igra-set\" 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