{"id":1848,"date":"2023-01-27T10:58:40","date_gmt":"2023-01-27T15:58:40","guid":{"rendered":"https:\/\/jasoncantarella.com\/wordpress\/?page_id=1848"},"modified":"2023-01-27T12:35:22","modified_gmt":"2023-01-27T17:35:22","slug":"math-5200","status":"publish","type":"page","link":"https:\/\/jasoncantarella.com\/wordpress\/courses\/math-5200\/","title":{"rendered":"MATH 5200: Foundations of Geometry"},"content":{"rendered":"\n

Welcome to the homepage for Foundations of Geometry (Math 5200\/7200)!<\/p>\n\n\n\n

In Spring 2023, I’m substitute teaching this course for a short period. So this webpage contains only a few classes worth of material. <\/p>\n\n\n\n

Office hours are in-person: 4-6pm on Wednesdays, in Boyd 448. Help is also available at the Math Department Study Hall, Monday-Thursday 3-7pm in McBay Science Library 382.<\/p>\n\n\n\n

Course Material<\/p>\n\n\n\n

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  1. (1\/23) Video: A Tale of Two Matrices<\/a>\n
      \n
    1. Active Learning: Exploring a point group<\/a><\/li>\n\n\n\n
    2. Online resource: desmos matrix calculator<\/a><\/li>\n<\/ol>\n<\/li>\n\n\n\n
    3. (1\/25) Video: Of symmetries, solids and coordinates<\/a>\n
        \n
      1. Active Learning. Orbits of the Delightful Dozen.<\/a><\/li>\n\n\n\n
      2. Optional reading: Coxeter, Regular Polytopes, Chapter 3.<\/a><\/li>\n\n\n\n
      3. Optional reading: Verheyen, The complete set of Jitterbug transformers and the analysis of their motion.<\/a><\/li>\n<\/ol>\n<\/li>\n\n\n\n
      4. (1\/27) Barycentric coordinates and the structure of a general orbit\n
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        1. Active Learning: The General Orbit<\/a><\/li>\n<\/ol>\n<\/li>\n\n\n\n
        2. (1\/30) A three-dimensional map: building a tetrahedral map of the orbit<\/li>\n\n\n\n
        3. (2\/1) Tensegrity Theory: The duality between stresses and rigidity<\/li>\n\n\n\n
        4. (2\/3) Building a symmetric tensegrity<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

          Welcome to the homepage for Foundations of Geometry (Math 5200\/7200)! In Spring 2023, I’m substitute teaching this course for a short period. So this webpage contains only a few classes worth of material. Office hours are in-person: 4-6pm on Wednesdays, in Boyd 448. Help is also available at the Math Department Study Hall, Monday-Thursday 3-7pm […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":78,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1848","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/pages\/1848","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/comments?post=1848"}],"version-history":[{"count":5,"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/pages\/1848\/revisions"}],"predecessor-version":[{"id":1858,"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/pages\/1848\/revisions\/1858"}],"up":[{"embeddable":true,"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/pages\/78"}],"wp:attachment":[{"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/media?parent=1848"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}