{"id":1953,"date":"2024-04-18T21:20:59","date_gmt":"2024-04-19T01:20:59","guid":{"rendered":"http:\/\/brickisland.net\/DDGSpring2024\/?p=1953"},"modified":"2024-04-24T21:07:59","modified_gmt":"2024-04-25T01:07:59","slug":"lecture-21-geodesics","status":"publish","type":"post","link":"https:\/\/brickisland.net\/DDGSpring2024\/2024\/04\/18\/lecture-21-geodesics\/","title":{"rendered":"Lecture 21\u2014Geodesics"},"content":{"rendered":"<p>In this lecture we&#8217;ll start taking a look at geodesics, which generalize the concept of a &#8220;straight line&#8221; to curved manifolds. Here again we encounter The Game of discrete differential geometry: different characterizations of geodesics\u2014namely, <em>straightest<\/em> vs. <em>(locally) shortest<\/em>\u2014will lead us down a path toward different discrete analogues, and ultimately, different algorithms.<\/p>\n<p><a href=\"http:\/\/brickisland.net\/DDGSpring2024\/wp-content\/uploads\/2019\/04\/DDG_458_SP19_Lecture21_Geodesics.pdf\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1954\" src=\"http:\/\/brickisland.net\/DDGSpring2024\/wp-content\/uploads\/2019\/04\/DDG_458_SP19_Lecture21_Geodesics_icon.jpg\" alt=\"\" width=\"419\" height=\"243\" srcset=\"https:\/\/brickisland.net\/DDGSpring2024\/wp-content\/uploads\/2019\/04\/DDG_458_SP19_Lecture21_Geodesics_icon.jpg 838w, https:\/\/brickisland.net\/DDGSpring2024\/wp-content\/uploads\/2019\/04\/DDG_458_SP19_Lecture21_Geodesics_icon-300x174.jpg 300w, https:\/\/brickisland.net\/DDGSpring2024\/wp-content\/uploads\/2019\/04\/DDG_458_SP19_Lecture21_Geodesics_icon-768x445.jpg 768w\" sizes=\"(max-width: 419px) 85vw, 419px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this lecture we&#8217;ll start taking a look at geodesics, which generalize the concept of a &#8220;straight line&#8221; to curved manifolds. Here again we encounter The Game of discrete differential geometry: different characterizations of geodesics\u2014namely, straightest vs. (locally) shortest\u2014will lead us down a path toward different discrete analogues, and ultimately, different algorithms.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":"","_links_to":"","_links_to_target":""},"categories":[3],"tags":[],"_links":{"self":[{"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/posts\/1953"}],"collection":[{"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/comments?post=1953"}],"version-history":[{"count":3,"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/posts\/1953\/revisions"}],"predecessor-version":[{"id":2274,"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/posts\/1953\/revisions\/2274"}],"wp:attachment":[{"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/media?parent=1953"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/categories?post=1953"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2024\/wp-json\/wp\/v2\/tags?post=1953"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}