{"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\/da\/blog\/news\/matematika-i-igra-set","title":{"rendered":"Matematik og spillet 'Set'","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><img decoding=\"async\" alt=\"Matematik og spillet &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/310b9e73ac15cf3185a7e060ad36dca8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Den, der finder et \"set\" her, f\u00e5r en chokoladebar af mig.<\/i><\/p>\n<p>\"Set\" er et genialt spil, som vi spillede for omkring 5 \u00e5r siden. R\u00e5b, skrig, fotografering af kombinationer. <\/p>\n<p>I spillereglerne st\u00e5r der, at det blev opfundet i 1991 af genetikeren Marsha Falco, der lavede noter under sin forskning i epilepsi hos tyske hyrdehunde i 1974. For dem, hvis hjerne er tilstr\u00e6kkeligt udmattet af matematik, opst\u00e5r der efter et stykke tid mistanker om, at der er nogle ekkoer af planimetri og at drage linjer gennem punkter. (For to givne kort findes der \u00e9t og kun \u00e9t kort, der har et set med dem.)<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\n<img decoding=\"async\" alt=\"Matematik og spillet &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/33cc906d4936e3fa25238ba28c6fcfe7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Marsha Falco sp\u00f8rger n\u00e6rmest: \"N\u00e5, har du ikke fundet 'set'?\"<\/i><\/p>\n<h3>Lad os huske reglerne<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematik og spillet &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/31a494ebd8dbccd27454d46d3c0e3ec8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n\"Set\" er et kortspil. Alle kort har fire parametre, hver af dem kan tage tre v\u00e6rdier (i alt 3 x 3 x 3 x 3 = 81 kort). <\/p>\n<p><img decoding=\"async\" alt=\"Matematik og spillet &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/75978b83104a01c548f251065470af2a.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nTyper og v\u00e6rdier af parametrene er som f\u00f8lger:<\/p>\n<ul>\n<li>figur ::= ellipse | rombe | \"snot\"<\/li>\n<li>farve ::= r\u00f8d | gr\u00f8n | violet<\/li>\n<li>fyldning ::= hvid | stribet | ensfarvet<\/li>\n<li>antal ::= 1 | 2 | 3<\/li>\n<\/ul>\n<p>\n<b>Spillets m\u00e5l<\/b> er at finde specielle kombinationer af tre kort. Tre kort kaldes et \"set\", hvis alle fire attributter ved kortene enten er ens eller <i>alle<\/i> forskellige.<\/p>\n<p><img decoding=\"async\" alt=\"Matematik og spillet &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/004f2a2bdc76f6952c078c5f51415484.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nMed andre ord kan man sige, at tre kort ikke vil udg\u00f8re et set, hvis to kort har den samme v\u00e6rdi for en parameter, mens det tredje har en anden. Det kan ses, at for ethvert par af kort vil der altid findes et tredje (og kun \u00e9t), som de danner et set med.<\/p>\n<p><b>Spillets gang:<\/b> spillederen l\u00e6gger 12 kort p\u00e5 bordet. N\u00e5r nogen finder et set, r\u00e5ber de \"Set!\" og tager derefter roligt de kort, der udg\u00f8r s\u00e6ttet. Hvis der ikke er et set blandt de udlagte kort (det ser m\u00e5ske blot s\u00e5dan ud), l\u00e6gger spillederen tre kort til.<\/p>\n<p>Det maksimale antal kort uden et set er 20. Runden forts\u00e6tter, indtil kortbunken er tom. Den, der har samlet flest sets, vinder.<\/p>\n<p>Matematikere fik sagerne til at klappe og pr\u00e6senterede en kombination af 20 kort. Den, der ser sig selv som Chuck Norris, kan glemme dette billede og pr\u00f8ve at samle \"solitaire\" uden et set selv.<br \/>\nEller tjekke, om der faktisk er et \"set\" her?<\/p>\n<h3>20 kort uden et set<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematik og spillet &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/0e939d2d5ac475941ac6cc798d99ec5f.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Det er nemt at tjekke, at der ikke er et \"set\" efter farve.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematik og spillet &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/914b852fe424faf4bc06230d8e110b8d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>De samme kort, men placeringen viser, at der ikke er sets efter parameteren \"fyldning\".<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematik og spillet &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/70cc65fab552c5215ce9c6d5342d9bc9.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Efter antal.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematik og spillet &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/548664a37ac483a166b0f33f8bdd941d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Efter figurer.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematik og spillet &#039;Set&#039;\" src=\"\/wp-content\/uploads\/2019\/06\/418a8252c7d4d182087c3e667f4c491b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Der er ikke et set efter forskelle i egenskaber.<\/i><\/p>\n<h3>\u00c5ben ul\u00f8st matematikopgave<\/h3>\n<p>\nHvor mange kort kan maksimalt l\u00e6gges ud, for at der ikke dannes et eneste 's\u00e6t'? En egenskab har tre v\u00e6rdier.<\/p>\n<p>ved 1 'egenskab' \u2013 2 kort<br \/>\n2 egenskaber \u2013 4 kort<br \/>\n3 egenskaber \u2013 9 kort<br \/>\n4 egenskaber \u2013 20 kort<br \/>\n5 egenskaber \u2013 45 kort<br \/>\n6 egenskaber \u2013 112 kort<br \/>\n7 egenskaber \u2013 <i>hmmm<\/i><\/p>\n<p>Og ved 'n\u2192\u221e'?<\/p>\n<h3>Video<\/h3>\n<p>\nSpillets skaber:<\/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=\"Afspil video\" loading=\"lazy\" width=\"480\" height=\"360\" style=\"width:100%;height:auto;\">\r\n        <div class=\"play-button\"><\/div>\r\n    <\/div><\/center><br \/>\nAleksej Savvateev fort\u00e6ller morsomt om S\u00e6t:<\/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=\"Afspil 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>Artikler<\/h3>\n<p><\/p>\n<ul>\n<li><noindex><a rel=\"nofollow\" href=\"http:\/\/pbg.cs.illinois.edu\/papers\/set.pdf\">OM KOMPLEXITETEN I SPILLET SET<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/henrikwarne.com\/2011\/09\/30\/set-probabilities-revisited\/\">SET Sandsynligheder Genbes\u00f8gt<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/homepages.warwick.ac.uk\/staff\/D.Maclagan\/papers\/set.pdf\">KORTSPILLET 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\">Matematikken bag kortspillet Set<\/a><\/noindex><\/li>\n<\/ul>\n<p>Kilde: <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 5.0.3 - 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\/da\/blog\/news\/matematika-i-igra-set\" 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