{"id":74,"date":"2010-04-18T19:24:20","date_gmt":"2010-04-18T11:24:20","guid":{"rendered":"http:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/?p=74"},"modified":"2024-02-16T21:14:15","modified_gmt":"2024-02-16T13:14:15","slug":"orchard-puzzle","status":"publish","type":"post","link":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/2010\/04\/orchard-puzzle\/","title":{"rendered":"Orchard Puzzle"},"content":{"rendered":"<p>I recently received a tough puzzle as a gift from my brother. The name of the puzzle is &#8220;Orchard&#8221;, and so far, indeed, it seems quite tough! The first step in solving it is to solve this puzzle :<\/p>\n<ul>\n<li><!--more-->Get a blank sheet of paper,<\/li>\n<li>Draw 10 dots on the page<\/li>\n<li>Get a ruler and rule five straight lines, but<\/li>\n<li><strong>make sure each line passes through four dots.<\/strong><\/li>\n<\/ul>\n<p>Of course, to solve this puzzle means you&#8217;ll have to get the dots in the right places first!<\/p>\n<p>You could extend this puzzle, for example &#8211;<\/p>\n<ul>\n<li>draw 4 lines, making sure each line passes through 5 dots, using as few dots as possible in total<\/li>\n<li>draw 7 lines, making sure each line passes through three dots, using as few dots as possible in total<\/li>\n<\/ul>\n<p>Of course, there&#8217;s no limit to the variations on this problem. You could also turn it around &#8211;<\/p>\n<ul>\n<li>Draw 20 dots on the page. How many straight lines can you draw with at least 4 dots each? Can you get more straight lines if you draw the dots in different places?<\/li>\n<li>Draw 31 dots. How many straight lines can you draw with at least 5 dots each?<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>I recently received a tough puzzle as a gift from my brother. The name of the puzzle is &#8220;Orchard&#8221;, and so far, indeed, it seems quite tough! The first step in solving it is to solve this puzzle :<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[65,63,66,69,68,67],"_links":{"self":[{"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/posts\/74"}],"collection":[{"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/comments?post=74"}],"version-history":[{"count":3,"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/posts\/74\/revisions"}],"predecessor-version":[{"id":77,"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/posts\/74\/revisions\/77"}],"wp:attachment":[{"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/media?parent=74"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/categories?post=74"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/tags?post=74"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}