{"id":1413,"date":"2011-02-01T11:02:44","date_gmt":"2011-02-01T15:02:44","guid":{"rendered":"http:\/\/mathgradblog.williams.edu\/?p=1413"},"modified":"2013-03-22T17:38:11","modified_gmt":"2013-03-22T17:38:11","slug":"appreciating-math-details-in-the-outside-world","status":"publish","type":"post","link":"https:\/\/blogs.ams.org\/mathgradblog\/2011\/02\/01\/appreciating-math-details-in-the-outside-world\/","title":{"rendered":"Appreciating math details in the outside world"},"content":{"rendered":"<p>By <a href=\"http:\/\/www.math.brown.edu\/~diana\/\">Diana Davis<\/a><br \/>\nLast spring, I spent a few months reading and understanding a paper about regular octagons. I spent so much time looking at octagons, drawing octagons, and thinking about octagons, that I started noticing them in my everyday life, where I hadn&#8217;t noticed them before. For example, gazebos are usually octagonal:<\/p>\n<p><a href=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2011\/02\/halifax_gazebo.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1414\" title=\"Halifax Gazebo\" src=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2011\/02\/halifax_gazebo.jpg\" alt=\"\" width=\"240\" height=\"160\" \/><\/a><\/p>\n<p>Has your research led you to notice anything different about the world? (Keep reading for more pictures of octagonal structures.)<br \/>\n<!--more--><br \/>\nMost lighthouses are also octagonal. Here is one I saw on Block Island this past fall:<br \/>\n<a href=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2011\/02\/BlockIsland_lighthouse.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1414\" src=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2011\/02\/BlockIsland_lighthouse.jpg\" alt=\"\" width=\"160\" height=\"240\" \/><\/a><\/p>\n<p>In Providence, octagons are very common in houses. Some just have octagonal rooms on one level, like these neighboring houses with matching turrets:<br \/>\n<a href=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2011\/02\/turrets.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1414\" src=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2011\/02\/turrets.jpg\" alt=\"\" width=\"500\" height=\"375\" \/><\/a><\/p>\n<p>Other houses have octagonal rooms the entire height of the house:<br \/>\n<a href=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2011\/02\/corner.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1414\" src=\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2011\/02\/corner.jpg\" alt=\"\" width=\"160\" height=\"240\" \/><\/a><\/p>\n<p>My research has moved on from regular octagons, but I still notice them as I walk around during the day. Has your research (or your graduate math courses, etc.) led you to notice anything in the outside world that you didn&#8217;t notice before?<\/p>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>","protected":false},"excerpt":{"rendered":"<p>By Diana Davis Last spring, I spent a few months reading and understanding a paper about regular octagons. I spent so much time looking at octagons, drawing octagons, and thinking about octagons, that I started noticing them in my everyday &hellip; <a href=\"https:\/\/blogs.ams.org\/mathgradblog\/2011\/02\/01\/appreciating-math-details-in-the-outside-world\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" data-url=https:\/\/blogs.ams.org\/mathgradblog\/2011\/02\/01\/appreciating-math-details-in-the-outside-world\/><\/div>\n","protected":false},"author":28,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[8],"tags":[],"class_list":["post-1413","post","type-post","status-publish","format-standard","hentry","category-general"],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3gbww-mN","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/posts\/1413","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/users\/28"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/comments?post=1413"}],"version-history":[{"count":1,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/posts\/1413\/revisions"}],"predecessor-version":[{"id":22249,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/posts\/1413\/revisions\/22249"}],"wp:attachment":[{"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/media?parent=1413"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/categories?post=1413"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/tags?post=1413"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}