{"id":5488,"date":"2010-12-31T18:41:15","date_gmt":"2010-12-31T23:41:15","guid":{"rendered":"http:\/\/blog.kenperlin.com\/?p=5488"},"modified":"2010-12-31T18:41:15","modified_gmt":"2010-12-31T23:41:15","slug":"response-to-a-mathematicians-lament","status":"publish","type":"post","link":"http:\/\/blog.kenperlin.com\/?p=5488","title":{"rendered":"Response to &#8220;A Mathematician&#8217;s Lament&#8221;"},"content":{"rendered":"<p>A poem in response to Paul Lockhart&#8217;s <a href=http:\/\/www.maa.org\/devlin\/LockhartsLament.pdf target=1>&#8220;A Mathematician&#8217;s Lament&#8221;<\/a>, inspired by the mathematical doodles of <a href=http:\/\/vihart.com target=1>Vi Hart<\/a>.<\/p>\n<p><center><\/p>\n<table cellpadding=0 cellspacing=0>\n<tr>\n<td width=250>\n<font face=helvetica><i><br \/>\nInside a box a triangle sits,<br \/>\nSomewhere, perhaps in your mind&#8217;s eye,<br \/>\nWide as the box, and just as high.<br \/>\nIn short, the triangle barely fits.<\/i><\/p>\n<td valign=center><img decoding=\"async\" loading=\"lazy\" src=\"http:\/\/blog.kenperlin.com\/wp-content\/uploads\/2010\/12\/t0.jpg\" alt=\"t0\" title=\"t0\" width=\"202\" height=\"143\" class=\"aligncenter size-full wp-image-5497\" \/><br \/>\n<\/tr>\n<tr>\n<td>\n<font face=helvetica><i><br \/>\nWhat will the triangle&#8217;s area be?<br \/>\nA quarter of the box?  Or maybe a third?<br \/>\nMore than the box?  No, that&#8217;s absurd.<br \/>\nHmm, there&#8217;s a game here, you can see.<\/i><\/p>\n<td valign=center><img decoding=\"async\" loading=\"lazy\" src=\"http:\/\/blog.kenperlin.com\/wp-content\/uploads\/2010\/12\/t1.jpg\" alt=\"t1\" title=\"t1\" width=\"202\" height=\"143\" class=\"aligncenter size-full wp-image-5495\" \/><br \/>\n<\/tr>\n<tr>\n<td>\n<font face=helvetica><i><br \/>\nA curious game &#8212; but how to play?<br \/>\nMaybe you should draw a line.<br \/>\nTo split the triangle, that looks fine,<br \/>\nFrom top to bottom, all the way.<\/i><\/p>\n<td valign=center><img decoding=\"async\" loading=\"lazy\" src=\"http:\/\/blog.kenperlin.com\/wp-content\/uploads\/2010\/12\/t2.jpg\" alt=\"t2\" title=\"t2\" width=\"202\" height=\"143\" class=\"aligncenter size-full wp-image-5498\" \/><br \/>\n<\/tr>\n<tr>\n<td>\n<font face=helvetica><i><br \/>\nNow two boxes sit astride<br \/>\nWhere there had only been just one.<br \/>\nTwice the shapes means twice the fun!<br \/>\nAnd each contains more shapes inside.<\/i><\/p>\n<td valign=center><img decoding=\"async\" loading=\"lazy\" src=\"http:\/\/blog.kenperlin.com\/wp-content\/uploads\/2010\/12\/t2b.jpg\" alt=\"t2b\" title=\"t2b\" width=\"202\" height=\"143\" class=\"aligncenter size-full wp-image-5499\" \/><br \/>\n<\/tr>\n<tr>\n<td>\n<font face=helvetica><i><br \/>\nThe leftmost box is cut in half &#8211;<br \/>\nA line is slicing it in two.<br \/>\nNow equal shapes jump out at you.<br \/>\nIt&#8217;s enough to make you laugh.<\/i><\/p>\n<td valign=center><img decoding=\"async\" loading=\"lazy\" src=\"http:\/\/blog.kenperlin.com\/wp-content\/uploads\/2010\/12\/t3.jpg\" alt=\"t3\" title=\"t3\" width=\"202\" height=\"143\" class=\"aligncenter size-full wp-image-5500\" \/><br \/>\n<\/tr>\n<tr>\n<td>\n<font face=helvetica><i><br \/>\nFor on the right it&#8217;s just the same.<br \/>\nYour triangle, you can say with pride,<br \/>\nTakes half the box&#8217;s space inside.<br \/>\nIt seems that you have won the game!<\/i><\/p>\n<td valign=center><img decoding=\"async\" loading=\"lazy\" src=\"http:\/\/blog.kenperlin.com\/wp-content\/uploads\/2010\/12\/t4.jpg\" alt=\"t4\" title=\"t4\" width=\"202\" height=\"143\" class=\"aligncenter size-full wp-image-5501\" \/><br \/>\n<\/tr>\n<\/table>\n<p><\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A poem in response to Paul Lockhart&#8217;s &#8220;A Mathematician&#8217;s Lament&#8221;, inspired by the mathematical doodles of Vi Hart. Inside a box a triangle sits, Somewhere, perhaps in your mind&#8217;s eye, Wide as the box, and just as high. In short, the triangle barely fits. What will the triangle&#8217;s area be? A quarter of the box? &hellip; <a href=\"http:\/\/blog.kenperlin.com\/?p=5488\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Response to &#8220;A Mathematician&#8217;s Lament&#8221;&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/5488"}],"collection":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5488"}],"version-history":[{"count":25,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/5488\/revisions"}],"predecessor-version":[{"id":5519,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=\/wp\/v2\/posts\/5488\/revisions\/5519"}],"wp:attachment":[{"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5488"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5488"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.kenperlin.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5488"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}