{"id":2680,"date":"2021-04-10T11:13:33","date_gmt":"2021-04-10T05:28:33","guid":{"rendered":"https:\/\/dorjegurung.com\/sciblog\/?p=2680"},"modified":"2022-09-28T13:53:37","modified_gmt":"2022-09-28T08:08:37","slug":"want-to-get-swept-away-by-mines","status":"publish","type":"post","link":"https:\/\/www.dorjegurung.com\/sciblog\/want-to-get-swept-away-by-mines\/","title":{"rendered":"Want to Get Swept Away by Mines?"},"content":{"rendered":"\n
\"\"
Minesweeper. Try the online version here<\/a>.<\/figcaption><\/figure>\n\n\n\n

Anyone and everyone whose introduction to the Windows Operating System were the very early versions — like those even before Windows 95 — should know or remember Minesweeper (see image above). Many introduced to the Operating System much later may also remember it because it was part of the package for some time.<\/p>\n\n\n\n

I do also because I loved playing it. I love logic games, which was part of the reason for my love of the game.<\/p>\n\n\n\n

The object of the game is to identify all the mines under the squares. In the above example, 23 mines are hidden under the 16 x 15 little square grids.<\/p>\n\n\n\n

It is a useful game for Science students too because it teaches them about deductive reasoning. While at times you can guess whether a square has a mine underneath, solving it demands logical reasoning.<\/p>\n\n\n\n

Minesweeper is also one of the games I make my Problem Solving<\/a> students play, analyze, and answer questions about. Here’s the first question: How many different 30 x 30 grid of minesweeper games containing 99 mines can the computer create?<\/p>\n\n\n\n

Of course, there are a number of different ways of analyzing and attacking this problem. If you want some help with ONE particular way to begin tackling it, have read of Modelling\u2026Without the Catwalk<\/a><\/em> where I describe how to tackle a similar problem about another logic game: the board game Mastermind.<\/p>\n\n\n\n

Many of the potential games or setups will be mirror images of one another. Here’s the first extension to the problem above: How many will have mirror image setups?<\/p>\n\n\n\n

And finally, many of the games will have set-ups that are rotationally equivalent. Here is the second extension to the problem: How many have one or more rotationally equivalent setups?<\/p>\n\n\n\n

Enjoy!<\/p>\n\n\n\n

(Incidentally, this is the fourth problem in the series of blog posts about challenging problems. Click here<\/a> for the first one, here<\/a> for the second one, and here<\/a> for the third one. Click here<\/a> for a description of the reason behind these series and what modeling means.)<\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Fourth one in the series, this blog post has a few different problems about the logic game Minesweeper…if you are game to being swept away by such problems!<\/p>\n","protected":false},"author":6,"featured_media":2681,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[26],"tags":[77,76,36,78],"class_list":["post-2680","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-enrichment-activities","tag-analysis","tag-logic-games","tag-logical-deduction","tag-problem-solving"],"blocksy_meta":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/www.dorjegurung.com\/sciblog\/wp-content\/uploads\/2021\/04\/minesweeper-featimage.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p2Y7Kk-He","_links":{"self":[{"href":"https:\/\/www.dorjegurung.com\/sciblog\/wp-json\/wp\/v2\/posts\/2680","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dorjegurung.com\/sciblog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.dorjegurung.com\/sciblog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.dorjegurung.com\/sciblog\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.dorjegurung.com\/sciblog\/wp-json\/wp\/v2\/comments?post=2680"}],"version-history":[{"count":0,"href":"https:\/\/www.dorjegurung.com\/sciblog\/wp-json\/wp\/v2\/posts\/2680\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.dorjegurung.com\/sciblog\/wp-json\/wp\/v2\/media\/2681"}],"wp:attachment":[{"href":"https:\/\/www.dorjegurung.com\/sciblog\/wp-json\/wp\/v2\/media?parent=2680"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.dorjegurung.com\/sciblog\/wp-json\/wp\/v2\/categories?post=2680"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dorjegurung.com\/sciblog\/wp-json\/wp\/v2\/tags?post=2680"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}