{"id":340,"date":"2011-02-14T20:27:14","date_gmt":"2011-02-15T00:27:14","guid":{"rendered":"http:\/\/blogs.williams.edu\/Morgan\/?p=340"},"modified":"2011-02-14T20:27:14","modified_gmt":"2011-02-15T00:27:14","slug":"500-for-optimal-fire-line","status":"publish","type":"post","link":"https:\/\/sites.williams.edu\/Morgan\/2011\/02\/14\/500-for-optimal-fire-line\/","title":{"rendered":"$500 For Optimal Fire Line"},"content":{"rendered":"<p><a href=\"http:\/\/www.math.psu.edu\/bressan\/\">Prof. Alberto Bressan<\/a> at Penn State offers a <a href=\"\/\/www.math.psu.edu\/bressan\/PSPDF\/prize2.pdf\">$500 prize<\/a> for proving the optimal <a href=\"http:\/\/en.wikipedia.org\/wiki\/Fireline\">firebreak<\/a> to isolate a forest fire that begins in the unit disc. I guess the answer is the heart shape of his Figure 2, the upper half of which he knows to be optimal in the half-plane. (Happy Valentine&#8217;s Day.)<\/p>\n<p><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2011\/02\/Firebreak.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-341\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2011\/02\/Firebreak-300x242.png\" alt=\"\" width=\"300\" height=\"242\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2011\/02\/Firebreak-300x242.png 300w, https:\/\/sites.williams.edu\/Morgan\/files\/2011\/02\/Firebreak.png 625w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Prof. Alberto Bressan at Penn State offers a $500 prize for proving the optimal firebreak to isolate a forest fire that begins in the unit disc. I guess the answer is the heart shape of his Figure 2, the upper half of which he knows to be optimal in the half-plane. (Happy Valentine&#8217;s Day.)<\/p>\n","protected":false},"author":269,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[14043],"tags":[],"class_list":["post-340","post","type-post","status-publish","format-standard","hentry","category-math"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/340","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/users\/269"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/comments?post=340"}],"version-history":[{"count":0,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/340\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/media?parent=340"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/categories?post=340"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/tags?post=340"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}