{"id":1998,"date":"2019-05-02T17:20:57","date_gmt":"2019-05-02T21:20:57","guid":{"rendered":"http:\/\/brickisland.net\/DDGSpring2019\/?p=1998"},"modified":"2019-05-02T17:20:57","modified_gmt":"2019-05-02T21:20:57","slug":"assignment-6-written-vector-field-decomposition-and-design-due-5-14","status":"publish","type":"post","link":"https:\/\/brickisland.net\/DDGSpring2019\/2019\/05\/02\/assignment-6-written-vector-field-decomposition-and-design-due-5-14\/","title":{"rendered":"Assignment 6 [Written]: Vector Field Decomposition and Design (Due 5\/14)"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2002\" src=\"http:\/\/brickisland.net\/DDGSpring2019\/wp-content\/uploads\/2019\/05\/Screen-Shot-2019-05-01-at-8.41.04-PM-1024x825.png\" alt=\"\" width=\"385\" height=\"310\" srcset=\"https:\/\/brickisland.net\/DDGSpring2019\/wp-content\/uploads\/2019\/05\/Screen-Shot-2019-05-01-at-8.41.04-PM-1024x825.png 1024w, https:\/\/brickisland.net\/DDGSpring2019\/wp-content\/uploads\/2019\/05\/Screen-Shot-2019-05-01-at-8.41.04-PM-300x242.png 300w, https:\/\/brickisland.net\/DDGSpring2019\/wp-content\/uploads\/2019\/05\/Screen-Shot-2019-05-01-at-8.41.04-PM-768x619.png 768w, https:\/\/brickisland.net\/DDGSpring2019\/wp-content\/uploads\/2019\/05\/Screen-Shot-2019-05-01-at-8.41.04-PM-1200x967.png 1200w, https:\/\/brickisland.net\/DDGSpring2019\/wp-content\/uploads\/2019\/05\/Screen-Shot-2019-05-01-at-8.41.04-PM.png 1532w\" sizes=\"auto, (max-width: 385px) 85vw, 385px\" \/><\/p>\n<p><strong>Warning:<\/strong> You <em>cannot<\/em> use late days on this assignment since it&#8217;s the last one.<\/p>\n<p>In this assignment, you will investigate tools for working with tangent vector fields on surfaces. Tangent vector fields are central to classical differential geometry, and have many interesting applications. For this homework, we&#8217;ll look at one algorithm for designing vector fields, and along the way we&#8217;ll cover a lot of deep facts about surfaces.<\/p>\n<p>There&#8217;s no PDF this week since the exercises are all from the notes.<\/p>\n<p>Do any <strong>12<\/strong> of Exercise 8.1 &#8211; Exercise 8.21 in the notes, except for Exercise 8.13.<\/p>\n<p><strong>Submission Instructions.<\/strong> Please submit your solutions to the exercises (whether handwritten, LaTeX, etc.) as a single PDF file by email to <a href=\"mailto:Geometry.Collective@gmail.com\">Geometry.Collective@gmail.com<\/a>. <em>This email must also contain the .zip file for your coding solution<\/em>. Scanned images\/photographs can be converted to a PDF using applications like Preview (on Mac) or a variety of free websites (e.g., <a href=\"http:\/\/imagetopdf.com\">http:\/\/imagetopdf.com<\/a>). Your submission email must include the string <strong>DDG19A6<\/strong> in the subject line.<\/p>\n<p><strong>Warning:<\/strong> You <em>cannot<\/em> use late days on this assignment since it&#8217;s the last one.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Warning: You cannot use late days on this assignment since it&#8217;s the last one. In this assignment, you will investigate tools for working with tangent vector fields on surfaces. Tangent vector fields are central to classical differential geometry, and have many interesting applications. For this homework, we&#8217;ll look at one algorithm for designing vector fields, &hellip; <a href=\"https:\/\/brickisland.net\/DDGSpring2019\/2019\/05\/02\/assignment-6-written-vector-field-decomposition-and-design-due-5-14\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Assignment 6 [Written]: Vector Field Decomposition and Design (Due 5\/14)&#8221;<\/span><\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-1998","post","type-post","status-publish","format-standard","hentry","category-assignments"],"_links":{"self":[{"href":"https:\/\/brickisland.net\/DDGSpring2019\/wp-json\/wp\/v2\/posts\/1998","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/brickisland.net\/DDGSpring2019\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/brickisland.net\/DDGSpring2019\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2019\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2019\/wp-json\/wp\/v2\/comments?post=1998"}],"version-history":[{"count":6,"href":"https:\/\/brickisland.net\/DDGSpring2019\/wp-json\/wp\/v2\/posts\/1998\/revisions"}],"predecessor-version":[{"id":2040,"href":"https:\/\/brickisland.net\/DDGSpring2019\/wp-json\/wp\/v2\/posts\/1998\/revisions\/2040"}],"wp:attachment":[{"href":"https:\/\/brickisland.net\/DDGSpring2019\/wp-json\/wp\/v2\/media?parent=1998"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2019\/wp-json\/wp\/v2\/categories?post=1998"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/brickisland.net\/DDGSpring2019\/wp-json\/wp\/v2\/tags?post=1998"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}