{"id":2525,"date":"2022-03-15T01:00:40","date_gmt":"2022-03-15T05:00:40","guid":{"rendered":"http:\/\/brickisland.net\/DDGSpring2022\/?p=2525"},"modified":"2022-01-17T17:46:04","modified_gmt":"2022-01-17T22:46:04","slug":"lecture-14-discrete-surfaces","status":"publish","type":"post","link":"https:\/\/brickisland.net\/DDGSpring2022\/2022\/03\/15\/lecture-14-discrete-surfaces\/","title":{"rendered":"Lecture 14: Discrete Surfaces"},"content":{"rendered":"<p><a href=\"https:\/\/www.youtube.com\/watch?v=8YCfx4hN-7Q\"><img loading=\"lazy\" src=\"http:\/\/brickisland.net\/DDGSpring2021\/wp-content\/uploads\/2020\/03\/DDG_458_SP20_Lecture14_DiscreteSurfaces.jpg\" alt=\"Discrete Surfaces\" width=\"512\" height=\"287\" \/><\/a><\/p>\n<p>We\u2019ll follow up our lecture on smooth surfaces with a view of surfaces from the discrete point of view. Our goal will be to translate basic concepts (such as the differential, immersions, etc.) into a purely discrete language. Here we\u2019ll also start to see the benefit of developing discrete differential forms: many of the statements we made about surfaces in the smooth setting can be translated into the discrete setting with minimal effort. As we move forward with discrete differential geometry, this \u201ceasy translation\u201d will enable us to take advantage of deep insights from differential geometry to develop practical computational algorithms.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=8YCfx4hN-7Q\">Video<\/a><\/li>\n<li><a href=\"http:\/\/brickisland.net\/DDGSpring2022\/wp-content\/uploads\/2020\/03\/DDG_458_SP20_Lecture14_DiscreteSurfaces.pdf\">Slides<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>We\u2019ll follow up our lecture on smooth surfaces with a view of surfaces from the discrete point of view. Our goal will be to translate basic concepts (such as the differential, immersions, etc.) into a purely discrete language. Here we\u2019ll also start to see the benefit of developing discrete differential forms: many of the statements &hellip; <a href=\"https:\/\/brickisland.net\/DDGSpring2022\/2022\/03\/15\/lecture-14-discrete-surfaces\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Lecture 14: Discrete Surfaces&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[7,3],"tags":[],"_links":{"self":[{"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/posts\/2525"}],"collection":[{"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/comments?post=2525"}],"version-history":[{"count":5,"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/posts\/2525\/revisions"}],"predecessor-version":[{"id":3448,"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/posts\/2525\/revisions\/3448"}],"wp:attachment":[{"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/media?parent=2525"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/categories?post=2525"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2022\/wp-json\/wp\/v2\/tags?post=2525"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}