{"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\/no\/blog\/news\/matematika-i-igra-set","title":{"rendered":"Matematikk og spill \u00abSett\u00bb","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><img decoding=\"async\" alt=\"Matematikk og spill \u00abSett\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/310b9e73ac15cf3185a7e060ad36dca8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Den som finner \u00abset\u00bb her, f\u00e5r en sjokolade av meg.<\/i><\/p>\n<p>Sett er et genialt spill som vi spilte for omtrent 5 \u00e5r siden. Skrik, rop, fotografering av kombinasjoner. <\/p>\n<p>I spillereglene st\u00e5r det at det ble oppfunnet av genetikeren Marsha Falco i 1991, mens hun gjorde notater under forskning p\u00e5 epilepsi hos tyske sch\u00e6ferhunder i 1974. For de med hjerner utmattet av matematikk, kan det etter hvert dukke opp en mistanke om at det er noe fanget fra planimetri og trekk av linjer gjennom punkter. (For to gitte kort finnes det ett og bare ett kort som er med i samme set.)<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\n<img decoding=\"async\" alt=\"Matematikk og spill \u00abSett\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/33cc906d4936e3fa25238ba28c6fcfe7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Marsha Falco sp\u00f8r: \u00abHar du ikke funnet 'set'?\u00bb<\/i><\/p>\n<h3>Vi minner om reglene<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematikk og spill \u00abSett\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/31a494ebd8dbccd27454d46d3c0e3ec8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\nSett er et kortspill. Alle kort har fire parametere, hver av dem kan ha tre verdier (til sammen 3 x 3 \u00d7 3 \u00d7 3 = 81 kort). <\/p>\n<p><img decoding=\"async\" alt=\"Matematikk og spill \u00abSett\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/75978b83104a01c548f251065470af2a.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nTyper og verdier av parametrene er som f\u00f8lger:<\/p>\n<ul>\n<li>figur ::= ellipse | rhombus | \u00abslime\u00bb<\/li>\n<li>farge ::= r\u00f8d | gr\u00f8nn | lilla<\/li>\n<li>fylling ::= hvit | stripete | hel<\/li>\n<li>antall ::= 1 | 2 | 3<\/li>\n<\/ul>\n<p>\n<b>M\u00e5let med spillet<\/b> er \u00e5 finne spesielle kombinasjoner av tre kort. Tre kort kalles et \u00abset\u00bb hvis for hver av de fire attributtene til kortene enten er alle like eller <i>alle<\/i> forskjellige.<\/p>\n<p><img decoding=\"async\" alt=\"Matematikk og spill \u00abSett\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/004f2a2bdc76f6952c078c5f51415484.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nMed andre ord kan vi si at tre kort ikke vil danne et set hvis to kort har samme verdi for en parameter, mens det tredje har en annen. Man kan se at det for ethvert par kort alltid vil finnes et tredje (og det ene), som de vil danne et set med.<\/p>\n<p><b>Spillets gang:<\/b> lederen legger ut 12 kort p\u00e5 bordet. N\u00e5r noen finner et set, roper de \u00abSet!\u00bb og tar deretter rolig de kortene som utgj\u00f8r setet. Hvis det ikke finnes noe set blant de utlagte kortene (det ser mest sannsynlig ut som om det ikke er noen), legger lederen ut tre kort til.<\/p>\n<p>Det maksimale antallet kort uten et set er 20. Runden fortsetter til kortstokken er tom. Den som har samlet flest sett vinner.<\/p>\n<p>Matematikere har stilt opp en kombinasjon av 20 kort. Den som anser seg for \u00e5 v\u00e6re Chuck Norris, kan glemme dette bildet og pr\u00f8ve \u00e5 samle \u00abpasient\u00bb uten et set p\u00e5 egen h\u00e5nd.<br \/>\nEller sjekke om det kanskje er et \u00abset\u00bb her likevel?<\/p>\n<h3>20 kort uten set<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematikk og spill \u00abSett\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/0e939d2d5ac475941ac6cc798d99ec5f.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Det er praktisk \u00e5 sjekke at det ikke er et \u00abset\u00bb etter farge.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematikk og spill \u00abSett\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/914b852fe424faf4bc06230d8e110b8d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>De samme kortene, men plasseringen viser at det er utsatt for sett if\u00f8lge parameteren \u00abfylling\u00bb.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematikk og spill \u00abSett\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/70cc65fab552c5215ce9c6d5342d9bc9.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Etter antall.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematikk og spill \u00abSett\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/548664a37ac483a166b0f33f8bdd941d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Etter figurer.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematikk og spill \u00abSett\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/418a8252c7d4d182087c3e667f4c491b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Det er ikke noe set i forskjellen mellom kjennetegnene.<\/i><\/p>\n<h3>\u00c5pen ul\u00f8ste oppgave i matematikk<\/h3>\n<p>\nHvor mange kort kan maksimalt legges ut uten \u00e5 danne en \u00absett\u00bb? Kriteriet har tre verdier.<\/p>\n<p>med 1 \u00abkriterium\u00bb \u2014 2 kort<br \/>\n2 kriterier \u2014 4 kort<br \/>\n3 kriterier \u2014 9 kort<br \/>\n4 kriterier \u2014 20 kort<br \/>\n5 kriterier \u2014 45 kort<br \/>\n6 kriterier \u2014 112 kort<br \/>\n7 kriterier \u2014 <i>vet ikke<\/i><\/p>\n<p>Og ved \u00abn\u2192\u221e\u00bb?<\/p>\n<h3>Video<\/h3>\n<p>\nSpilleren:<\/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=\"Spill 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 Savvatejev forklarer s\u00e6rdeles tydelig om Sett:<\/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=\"Spill 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 KOMPLEKSITETEN TIL SPILLET SETT<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/henrikwarne.com\/2011\/09\/30\/set-probabilities-revisited\/\">SETT Sannsynligheter Revisitert<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/homepages.warwick.ac.uk\/staff\/D.Maclagan\/papers\/set.pdf\">KORTSPIELLET SETT<\/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\">Matematikk i kortspillet Sett<\/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 5.0.5 - 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\/no\/blog\/news\/matematika-i-igra-set\" \/>\n\t\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 5.0.5\" \/>\n\t\t<meta property=\"og:locale\" content=\"nn_NO\" \/>\n\t\t<meta property=\"og:site_name\" content=\"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"\ud83e\udd47\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u0433\u0440\u0430 \u00ab\u0421\u0435\u0442\u00bb | ProHoster\" \/>\n\t\t<meta property=\"og: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\t<meta property=\"og:url\" content=\"https:\/\/prohoster.info\/no\/blog\/news\/matematika-i-igra-set\" \/>\n\t\t<meta property=\"og:image\" content=\"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg\" \/>\n\t\t<meta property=\"og:image:secure_url\" content=\"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg\" \/>\n\t\t<meta property=\"og:image:width\" content=\"350\" \/>\n\t\t<meta property=\"og:image:height\" content=\"350\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2019-10-31T19:02:53+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2019-10-31T19:02:53+00:00\" \/>\n\t\t<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/prohoster\" \/>\n\t\t<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/prohoster\" \/>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"\ud83e\udd47Matematikk og spillet \u00abSett\u00bb | ProHoster","description":"Den som finner en \u00absett\u00bb her, f\u00e5r en sjokolade fra meg.","canonical_url":"https:\/\/prohoster.info\/no\/blog\/news\/matematika-i-igra-set","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":null,"og:locale":"nn_NO","og:site_name":"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b","og:type":"article","og:title":"\ud83e\udd47\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0438\u0433\u0440\u0430 \u00ab\u0421\u0435\u0442\u00bb | ProHoster","og:description":"\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. .","og:url":"https:\/\/prohoster.info\/no\/blog\/news\/matematika-i-igra-set","og:image":"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg","og:image:secure_url":"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg","og:image:width":350,"og:image:height":350,"article:published_time":"2019-10-31T19:02:53+00:00","article:modified_time":"2019-10-31T19:02:53+00:00","article:publisher":"https:\/\/www.facebook.com\/prohoster","article:author":"https:\/\/www.facebook.com\/prohoster"},"aioseo_meta_data":{"post_id":"35193","title":null,"description":null,"keywords":null,"keyphrases":null,"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":null,"og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":"","isEnabled":true},"graphs":[]},"schema_type":null,"schema_type_options":null,"pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":null,"robots_max_videopreview":null,"robots_max_imagepreview":"large","priority":null,"frequency":null,"local_seo":null,"seo_analyzer_scan_date":"2026-01-21 22:17:19","breadcrumb_settings":null,"limit_modified_date":false,"reviewed_by":null,"ai":null,"created":"2021-03-01 02:09:01","updated":"2026-01-21 22:17:19","focus_keyword":null,"additional_keywords":null,"truseo_locale":null},"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/prohoster.info\/no\/wp-json\/wp\/v2\/posts\/35193","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/prohoster.info\/no\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/prohoster.info\/no\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/prohoster.info\/no\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/prohoster.info\/no\/wp-json\/wp\/v2\/comments?post=35193"}],"version-history":[{"count":0,"href":"https:\/\/prohoster.info\/no\/wp-json\/wp\/v2\/posts\/35193\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/prohoster.info\/no\/wp-json\/wp\/v2\/media\/26448"}],"wp:attachment":[{"href":"https:\/\/prohoster.info\/no\/wp-json\/wp\/v2\/media?parent=35193"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/prohoster.info\/no\/wp-json\/wp\/v2\/categories?post=35193"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/prohoster.info\/no\/wp-json\/wp\/v2\/tags?post=35193"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}