{"id":399,"date":"2021-05-21T14:36:13","date_gmt":"2021-05-21T14:36:13","guid":{"rendered":"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/?page_id=399"},"modified":"2024-02-28T21:09:35","modified_gmt":"2024-02-28T21:09:35","slug":"12-stacked-stars","status":"publish","type":"page","link":"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/12-stacked-stars\/","title":{"rendered":"12. Stacked Stars"},"content":{"rendered":"<p style=\"text-align: center\"><strong>Stacked Stars<\/strong><\/p>\n<p>Excel file with jump patterns by equation (via two up\/down arrows): <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2021\/05\/12a_StarSetsmultipleJumpsEquations.xlsx\" target=\"_blank\" rel=\"noopener noreferrer\">12a_StarSetsbyEquations<\/a><\/p>\n<p>Excel file with manually input jump patterns (via entering 9 numbers): <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2021\/05\/12b_StarSetsmultipleJumpsManualEntry.xlsx\" target=\"_blank\" rel=\"noopener noreferrer\">12b_StarSetsManualEntry<\/a><\/p>\n<p>Stacked Stars is a closed circuit file like the files in <strong>PART I<\/strong>,\u00a0 unlike 10 and 11 . File 4 examines double jump patterns, and File 5 explores triple jump patterns on dodecagons. File 12 expands the reach to much larger polygons and allows up to 9 distinct jumps per set. Many of the images are reminiscent of doilies. Just like in <strong>PART 1<\/strong>, images can degenerate if the sum of a set of jumps has factors in common with <em><strong>n<\/strong><\/em>.<\/p>\n<p><strong>E18. <\/strong>These <em>explainers<\/em> start from the <em>Excel<\/em> files, but then move to the web model.<\/p>\n<p>12.1, <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2022\/11\/Introduction-to-Larger-Jump-Sets.pdf\" target=\"_blank\" rel=\"noopener\">Introduction to Larger Jump Sets<\/a><\/p>\n<p>12.2. <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2022\/11\/Mystic-Roses.pdf\" target=\"_blank\" rel=\"noopener\">Mystic Roses<\/a><\/p>\n<p>12.3. <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2022\/11\/Counting-backwards.pdf\" target=\"_blank\" rel=\"noopener\">Counting backwards<\/a><\/p>\n<p>12.4.1 <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2022\/11\/From-VF-to-String-Art-with-Larger-Jump-Sets.pdf\" target=\"_blank\" rel=\"noopener\">From VF to String Art with Larger Jump Sets<\/a><\/p>\n<p>12.4.2 <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2022\/11\/Just-Tails-Asymmetric-Suspension-Curves-and-Spirals.pdf\" target=\"_blank\" rel=\"noopener\">Just Tails, Asymmetric Suspension Curves, and Spirals<\/a><\/p>\n<p>12.4.3 <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2022\/11\/Fibonacci.pdf\" target=\"_blank\" rel=\"noopener\">Fibonacci<\/a><\/p>\n<p>12.5. <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2022\/11\/Creating-Videos.pdf\" target=\"_blank\" rel=\"noopener\">Creating Videos<\/a><\/p>\n<p><strong>E20. <\/strong>Challenge Questions<\/p>\n<p>CQ1 <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2022\/11\/Really-Sharp-Triangles-Part-I.pdf\" target=\"_blank\" rel=\"noopener\">Really Sharp Triangles, Part I<\/a><\/p>\n<p>CQ2 <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2022\/11\/Really-Sharp-Triangles-Part-II.pdf\" target=\"_blank\" rel=\"noopener\">Really Sharp Triangles, Part II<\/a><\/p>\n<p>CQ3 <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2022\/11\/Golden-Spiral-Worked-Challenge-Question.pdf\" target=\"_blank\" rel=\"noopener\">Golden Spiral <em>Worked<\/em> Challenge Question<\/a><\/p>\n<p>CQ4 <a href=\"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/files\/2022\/11\/Bird-Beak-Questions.pdf\" target=\"_blank\" rel=\"noopener\">Bird Beak Questions<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Stacked Stars Excel file with jump patterns by equation (via two up\/down arrows): 12a_StarSetsbyEquations Excel file with manually input jump patterns (via entering 9 numbers): 12b_StarSetsManualEntry Stacked Stars is a closed circuit file like the files in PART I,\u00a0 unlike 10 and 11 . File 4 examines double jump patterns, and File 5 explores triple [&hellip;]<\/p>\n","protected":false},"author":1719,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-fullwidth.php","meta":{"footnotes":""},"class_list":["post-399","page","type-page","status-publish","hentry","post-preview"],"_links":{"self":[{"href":"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/wp-json\/wp\/v2\/pages\/399","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/wp-json\/wp\/v2\/users\/1719"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/wp-json\/wp\/v2\/comments?post=399"}],"version-history":[{"count":0,"href":"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/wp-json\/wp\/v2\/pages\/399\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.dickinson.edu\/playing-with-polygons\/wp-json\/wp\/v2\/media?parent=399"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}