{"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\/es\/blog\/news\/matematika-i-igra-set","title":{"rendered":"Matem\u00e1ticas y el juego 'Set'","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><img decoding=\"async\" alt=\"Matem\u00e1ticas y el juego &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/310b9e73ac15cf3185a7e060ad36dca8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Quien encuentre aqu\u00ed un \u00abset\u00bb recibir\u00e1 una chocolatina de mi parte.<\/i><\/p>\n<p>Set es un juego genial en el que jugamos hace unos 5 a\u00f1os. Gritos, alaridos, fotografiando combinaciones. <\/p>\n<p>Las reglas del juego dicen que fue inventado en 1991 por la genetista Marsha Falco, quien hac\u00eda anotaciones durante un estudio sobre la epilepsia en pastores alemanes en 1974. Para aquellos que tienen el cerebro agotado por las matem\u00e1ticas, despu\u00e9s de un tiempo surge la sospecha de que hay ecos de la planimetr\u00eda y la trazada de l\u00edneas a trav\u00e9s de puntos. (Para dos cartas dadas, hay una y solo una carta que, junto con ellas, forma un set.)<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\n<img decoding=\"async\" alt=\"Matem\u00e1ticas y el juego &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/33cc906d4936e3fa25238ba28c6fcfe7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Marsha Falco parece preguntar: \u00abBueno, \u00bfno has encontrado un 'set'?\u00bb<\/i><\/p>\n<h3>Recordemos las reglas<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matem\u00e1ticas y el juego &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/31a494ebd8dbccd27454d46d3c0e3ec8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\nSet es un juego de cartas. Todas las cartas tienen cuatro par\u00e1metros, cada uno de los cuales puede tomar tres valores (en total 3 x 3 x 3 x 3 = 81 cartas). <\/p>\n<p><img decoding=\"async\" alt=\"Matem\u00e1ticas y el juego &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/75978b83104a01c548f251065470af2a.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nLos tipos y valores de los par\u00e1metros son los siguientes:<\/p>\n<ul>\n<li>figura ::= elipse | rombo | \u00abmoco\u00bb<\/li>\n<li>color ::= rojo | verde | violeta<\/li>\n<li>relleno ::= blanco | rayado | s\u00f3lido<\/li>\n<li>cantidad ::= 1 | 2 | 3<\/li>\n<\/ul>\n<p>\n<b>Objetivo del juego<\/b> consiste en encontrar combinaciones especiales de tres cartas. Tres cartas se llaman \u00abset\u00bb si en cada uno de los cuatro atributos las cartas son todas iguales o <i>cargas de trabajo dejar\u00e1n de funcionar!<\/i> diferentes.<\/p>\n<p><img decoding=\"async\" alt=\"Matem\u00e1ticas y el juego &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/004f2a2bdc76f6952c078c5f51415484.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nEn otras palabras, se puede decir que tres cartas no formar\u00e1n un set si dos cartas tienen un mismo valor de par\u00e1metro y la tercera tiene otro. Se puede ver que para cualquier par de cartas siempre habr\u00e1 una tercera (y solo una) con la que formar\u00e1n un set.<\/p>\n<p><b>Desarrollo del juego:<\/b> el anfitri\u00f3n coloca 12 cartas sobre la mesa. Cuando alguien encuentra un set, grita \u00ab\u00a1Set!\u00bb y luego recoge tranquilamente las cartas que componen el set. Si no hay set en las cartas expuestas (lo que suele parecer que no lo hay), el anfitri\u00f3n colocar\u00e1 tres cartas m\u00e1s.<\/p>\n<p>El n\u00famero m\u00e1ximo de cartas sin un set es 20. La ronda contin\u00faa hasta que se agote el mazo. Gana quien haya recogido m\u00e1s sets.<\/p>\n<p>Los matem\u00e1ticos se movieron r\u00e1pido y presentaron una combinaci\u00f3n de 20 cartas. Quien se sienta como Chuck Norris puede ignorar esta imagen e intentar armar un \u00absolitario\u00bb sin set por su cuenta.<br \/>\nO verificar si tal vez aqu\u00ed s\u00ed hay un \u00abset\u00bb.<\/p>\n<h3>20 cartas sin set<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matem\u00e1ticas y el juego &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/0e939d2d5ac475941ac6cc798d99ec5f.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Es conveniente comprobar que no hay \u00abset por color\u00bb.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matem\u00e1ticas y el juego &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/914b852fe424faf4bc06230d8e110b8d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Las mismas cartas, pero la disposici\u00f3n muestra que no hay sets por el par\u00e1metro de \u00abrelleno\u00bb.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matem\u00e1ticas y el juego &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/70cc65fab552c5215ce9c6d5342d9bc9.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Por cantidad.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matem\u00e1ticas y el juego &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/548664a37ac483a166b0f33f8bdd941d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Por figuras.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matem\u00e1ticas y el juego &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/418a8252c7d4d182087c3e667f4c491b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>No hay set por la diferencia de caracter\u00edsticas.<\/i><\/p>\n<h3>Un problema matem\u00e1tico abierto<\/h3>\n<p>\n\u00bfCu\u00e1ntas cartas se pueden colocar como m\u00e1ximo para que no haya ning\u00fan \"set\"? La caracter\u00edstica tiene tres valores.<\/p>\n<p>con 1 \"caracter\u00edstica\" \u2014 2 cartas<br \/>\n2 caracter\u00edsticas \u2014 4 cartas<br \/>\n3 caracter\u00edsticas \u2014 9 cartas<br \/>\n4 caracter\u00edsticas \u2014 20 cartas<br \/>\n5 caracter\u00edsticas \u2014 45 cartas<br \/>\n6 caracter\u00edsticas \u2014 112 cartas<br \/>\n7 caracter\u00edsticas \u2014 <i>no s\u00e9<\/i><\/p>\n<p>\u00bfY cuando \"n\u2192\u221e\"?<\/p>\n<h3>V\u00eddeo<\/h3>\n<p>\nCreador del juego:<\/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=\"Reproducir 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 explica de manera brillante sobre 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=\"Reproducir 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>Art\u00edculos<\/h3>\n<p><\/p>\n<ul>\n<li><noindex><a rel=\"nofollow\" href=\"http:\/\/pbg.cs.illinois.edu\/papers\/set.pdf\">SOBRE LA COMPLEJIDAD DEL JUEGO DE SET<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/henrikwarne.com\/2011\/09\/30\/set-probabilities-revisited\/\">Probabilidades de SET Revisitadas<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/homepages.warwick.ac.uk\/staff\/D.Maclagan\/papers\/set.pdf\">EL JUEGO DE CARTAS 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 Matem\u00e1tica del Juego de Cartas Set<\/a><\/noindex><\/li>\n<\/ul>\n<p>Fuente: <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 5.0.2 - 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\" 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