{"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\/novosti-interneta\/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 &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/310b9e73ac15cf3185a7e060ad36dca8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Chi trover\u00e0 qui il \"set\" ricever\u00e0 da me una barretta di cioccolato.<\/i><\/p>\n<p>Set \u00e8 un gioco geniale a cui giocavamo circa 5 anni fa. Urla, grida, fotografie delle combinazioni. <\/p>\n<p>Nelle regole del gioco si scrive che \u00e8 stato inventato nel 1991 dalla genetista Marsha Falco, mentre prendeva appunti durante una ricerca sull'epilessia nei pastori tedeschi nel 1974. Per chi ha il cervello abbastanza provato dalla matematica, dopo un po' sorge il sospetto che ci siano qui degli echi di pianimetria e di tracciamento di linee attraverso i punti. (Per ogni coppia di carte ci sia una ed una sola carta che fa parte dello stesso set.)<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\n<img decoding=\"async\" alt=\"Matematica e gioco &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/33cc906d4936e3fa25238ba28c6fcfe7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Marsha Falco sembra chiedere: \"Allora, non hai trovato il 'set'?\"<\/i><\/p>\n<h3>Ricordiamo le regole<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematica e gioco &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/31a494ebd8dbccd27454d46d3c0e3ec8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\nSet \u00e8 un gioco di carte. Ogni carta ha 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 &#039;Set&#039;\" 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 i seguenti:<\/p>\n<ul>\n<li>figure ::= ellisse | rombo | \"filamento\"<\/li>\n<li>colore ::= rosso | verde | viola<\/li>\n<li>riempimento ::= bianco | a righe | pieno<\/li>\n<li>quantit\u00e0 ::= 1 | 2 | 3<\/li>\n<\/ul>\n<p>\n<b>Obiettivo del gioco<\/b> consiste nel trovare combinazioni particolari di tre carte. Tre carte sono chiamate \"set\" se, per ciascuno dei quattro attributi della carta, sono tutte uguali oppure <i>\u0432\u0441\u0435<\/i> differenti.<\/p>\n<p><img decoding=\"async\" alt=\"Matematica e gioco &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/004f2a2bdc76f6952c078c5f51415484.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nIn altre parole, si pu\u00f2 dire che tre carte non formeranno un set se due carte hanno lo stesso valore di un attributo, mentre la terza ha un valore diverso. Si pu\u00f2 vedere che per qualsiasi coppia di carte, esister\u00e0 sempre una terza (e un'unica), con la quale formeranno un set.<\/p>\n<p><b>Andamento del gioco:<\/b> il conduttore espone 12 carte sul tavolo. Quando qualcuno trova un set, grida \"Set!\" e poi prende tranquillamente le carte che compongono il set. Se per\u00f2 tra le carte esposte non c'\u00e8 un set (probabilmente sembra che non ci sia), il conduttore espone altre tre carte.<\/p>\n<p>Il numero massimo di carte senza set \u00e8 20. Il round continua fino a quando il mazzo non finisce. 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 sente un Chuck Norris pu\u00f2 dimenticare questa immagine e provare a raccogliere \"solitario\" senza set da solo.<br \/>\nOppure verificare se qui ci sia comunque un \"set\"?<\/p>\n<h3>20 carte senza set<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematica e gioco &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/0e939d2d5ac475941ac6cc798d99ec5f.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>\u00c8 comodo verificare che non ci sia \"set per colore\".<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematica e gioco &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/914b852fe424faf4bc06230d8e110b8d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Stesse carte, ma la posizione mostra che non ci sono set secondo il parametro 'riempimento'.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematica e gioco &#039;Set&#039;\" 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 &#039;Set&#039;\" 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 &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/418a8252c7d4d182087c3e667f4c491b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Nessun set per la differenza dei caratteri.<\/i><\/p>\n<h3>Problema matematico aperto non risolto.<\/h3>\n<p>\nQuante carte possono essere disposte senza formare alcun 'set'? Un carattere ha tre valori.<\/p>\n<p>con 1 'carattere' \u2014 2 carte<br \/>\n2 caratteri \u2014 4 carte<br \/>\n3 caratteri \u2014 9 carte<br \/>\n4 caratteri \u2014 20 carte<br \/>\n5 caratteri \u2014 45 carte<br \/>\n6 caratteri \u2014 112 carte<br \/>\n7 caratteri \u2014 <i>non so<\/i><\/p>\n<p>E con '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=\"Riproduci video\" loading=\"lazy\" width=\"480\" height=\"360\" style=\"width:100%;height:auto;\">\r\n        <div class=\"play-button\"><\/div>\r\n    <\/div><\/center><br \/>\nAleksey Savvateev racconta in modo brillante di 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=\"Riproduci 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 DI SET<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/henrikwarne.com\/2011\/09\/30\/set-probabilities-revisited\/\">Probabilit\u00e0 di SET Rivisitato<\/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-novosti-interneta"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.0.1 - 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. \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 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Set \u00e8 un gioco geniale a cui abbiamo giocato circa 5 anni fa. Urla, grida, fotografie delle combinazioni. Le regole del gioco affermano che \u00e8 stato inventato nel 1991 dalla genetista Marsha Falco, mentre annotava durante una ricerca sull'epilessia nei pastori tedeschi nel 1974. 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