{"id":2741,"date":"2017-12-07T09:51:17","date_gmt":"2017-12-07T14:51:17","guid":{"rendered":"https:\/\/geekhaus.com\/math103_fall2017\/?p=2741"},"modified":"2017-12-16T17:03:01","modified_gmt":"2017-12-16T22:03:01","slug":"prince-ruperts-cube-showcase","status":"publish","type":"post","link":"https:\/\/geekhaus.com\/math103_fall2017\/2017\/12\/07\/prince-ruperts-cube-showcase\/","title":{"rendered":"Prince Rupert&#8217;s Cube Showcase"},"content":{"rendered":"<h2>Group Members:<\/h2>\n<p>Taylor Zabinsky<br \/>\nGrant Folsom<\/p>\n<h2>Prince Rupert&#8217;s Cube Presentation:<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2746 size-large\" src=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4783-1024x956.jpg\" alt=\"\" width=\"1024\" height=\"956\" srcset=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4783-1024x956.jpg 1024w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4783-300x280.jpg 300w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4783-768x717.jpg 768w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>Our final presentation was on Prince Rupert&#8217;s Cube. Essentially, the Prince\u00a0Rupert problem was proposed by\u00a0Prince Rupert of the Rhine, Prince Rupert\u2019s cube\u00a0is the largest\u00a0cube\u00a0that can pass through a hole cut through another cube without\u00a0splitting the\u00a0cube\u00a0into two pieces. One would assume that the only sized cube that could pass through the orginial would be one of equivalent size. What if you passed it through on the diagonal? The diagonal of a cube with the dimensions of 1 is actually larger than the side height. So yes, a larger cube would be able to pass through the orginial cube if it was put through on the diagonal. After using the pythagorean theorem to calculate the length of the diagonal, the\u00a0solution\u00a0to the problem is a maximally sized inner cube with sides of length 1.0606 (3 sqrt(2))\/4) larger than the unit cube with side lengths of 1. You can read more about Prince Rupert&#8217;s Cube <a href=\"https:\/\/geekhaus.com\/math103_fall2017\/2017\/10\/05\/open-project-prince-ruperts-cube\/\">here<\/a>.<\/p>\n<p>We think our final presentation was a success. We had numerous people ask us many questions about our project, about how the design was constructed and how this could be applied to real life situations.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-2747\" src=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4784-1024x490.jpg\" alt=\"\" width=\"1024\" height=\"490\" srcset=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4784-1024x490.jpg 1024w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4784-300x144.jpg 300w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4784-768x368.jpg 768w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>We also had to oppportunity to walk around and ask other groups about their projects. One that we particulary enjoyed was the Borromean Rings. They explained their project very well and amazed us with how the rings actually work, come together and pull apart. In addition, the ribbon braid was a neat visual.<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-2749\" src=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4786-1024x576.jpg\" alt=\"\" width=\"1024\" height=\"576\" srcset=\"https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4786-1024x576.jpg 1024w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4786-300x169.jpg 300w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4786-768x432.jpg 768w, https:\/\/geekhaus.com\/math103_fall2017\/wp-content\/uploads\/2017\/12\/IMG_4786-678x381.jpg 678w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<div class=\"mh-excerpt\"><p>Our final presentation was on Prince Rupert&#8217;s Cube. Essentially, the Prince\u00a0Rupert problem was proposed by\u00a0Prince Rupert of the Rhine, Prince Rupert\u2019s cube\u00a0is the largest\u00a0cube\u00a0that can pass through a hole cut through another cube without\u00a0splitting the\u00a0cube\u00a0into <a class=\"mh-excerpt-more\" href=\"https:\/\/geekhaus.com\/math103_fall2017\/2017\/12\/07\/prince-ruperts-cube-showcase\/\" title=\"Prince Rupert&#8217;s Cube Showcase\">[&#8230;]<\/a><\/p>\n<\/div>","protected":false},"author":28,"featured_media":2746,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[45],"tags":[],"coauthors":[24],"_links":{"self":[{"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/posts\/2741"}],"collection":[{"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/users\/28"}],"replies":[{"embeddable":true,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/comments?post=2741"}],"version-history":[{"count":13,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/posts\/2741\/revisions"}],"predecessor-version":[{"id":2957,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/posts\/2741\/revisions\/2957"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/media\/2746"}],"wp:attachment":[{"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/media?parent=2741"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/categories?post=2741"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/tags?post=2741"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/geekhaus.com\/math103_fall2017\/wp-json\/wp\/v2\/coauthors?post=2741"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}