{"id":610,"date":"2019-03-25T16:55:30","date_gmt":"2019-03-25T16:55:30","guid":{"rendered":"http:\/\/x-colony.com\/WorldPress\/?page_id=428"},"modified":"2019-04-21T20:20:21","modified_gmt":"2019-04-21T20:20:21","slug":"tubular-rings-puzzle","status":"publish","type":"page","link":"http:\/\/x-colony.com\/PoCo\/index.php\/activities\/puzzles\/tubular-rings-puzzle\/","title":{"rendered":"Tubular Rings Puzzle"},"content":{"rendered":"\n<p><strong>Tubular Rings Puzzle<\/strong><\/p>\n\n\n\n<p>Generate tubular structures of as many rings of the kind displayed below.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" width=\"199\" height=\"184\" src=\"http:\/\/x-colony.com\/PoCo\/wp-content\/uploads\/2019\/03\/image-79.png\" alt=\"\" class=\"wp-image-429\"\/><figcaption>\t\t\t\t\t\t<\/figcaption><\/figure><\/div>\n\n\n\n<p><strong>Solution<\/strong><\/p>\n\n\n\n<p>First, note that the ring contains 10 triangles. We can get that from an Icosahedron, by deleting two vertices that are opposite (like North and South poles).<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" width=\"400\" height=\"192\" src=\"http:\/\/x-colony.com\/PoCo\/wp-content\/uploads\/2019\/03\/image-80-1.png\" alt=\"\" class=\"wp-image-432\" srcset=\"http:\/\/x-colony.com\/PoCo\/wp-content\/uploads\/2019\/03\/image-80-1.png 400w, http:\/\/x-colony.com\/PoCo\/wp-content\/uploads\/2019\/03\/image-80-1-300x144.png 300w\" sizes=\"(max-width: 400px) 85vw, 400px\" \/><figcaption>\t\t\t\t\t\t<\/figcaption><\/figure><\/div>\n\n\n\n<p>Secondly,  we have to find a way to chain these rings. We can construct the convex hull (and compact the result), select the binding face (in Building mode, right-clik on one of the two pentagons), promote the object to default <strong>Build <\/strong>module (double-click on the object entry in the list) and then use build addition (click on the binding face).<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"http:\/\/x-colony.com\/PoCo\/wp-content\/uploads\/2019\/03\/image-81.png\" alt=\"\" class=\"wp-image-433\" width=\"448\" height=\"209\" srcset=\"http:\/\/x-colony.com\/PoCo\/wp-content\/uploads\/2019\/03\/image-81.png 443w, http:\/\/x-colony.com\/PoCo\/wp-content\/uploads\/2019\/03\/image-81-300x140.png 300w\" sizes=\"(max-width: 448px) 85vw, 448px\" \/><figcaption>\n\t\t\t\t\t\t<\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" width=\"182\" height=\"277\" src=\"http:\/\/x-colony.com\/PoCo\/wp-content\/uploads\/2019\/03\/image-82-1.png\" alt=\"\" class=\"wp-image-436\"\/><figcaption>\t\t\t\t\t\t<\/figcaption><\/figure><\/div>\n\n\n\n<p>Finally, delete the interior walls (<strong>Delete\/Faces<\/strong> mode).<br><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" loading=\"lazy\" width=\"178\" height=\"234\" src=\"http:\/\/x-colony.com\/PoCo\/wp-content\/uploads\/2019\/03\/image-83.png\" alt=\"\" class=\"wp-image-437\"\/><figcaption>\t\t\t\t\t\t<\/figcaption><\/figure><\/div>\n\n\n<style>.fb_iframe_widget span{width:460px !important;} .fb_iframe_widget iframe {margin: 0 !important;}        .fb_edge_comment_widget { display: none !important; }<\/style><div style=\"width:100%; text-align:left\"><div class=\"fb-like\" style=\"width:750px; overflow: hidden !important; \" data-href=\"http:\/\/x-colony.com\/PoCo\" data-size=\"large\" data-colorscheme=\"light\" data-width=\"750\" data-layout=\"button_count\" data-action=\"like\" data-show-faces=\"true\" data-share=\"true\" kid_directed_site=\"true\"><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Tubular Rings Puzzle Generate tubular structures of as many rings of the kind displayed below. Solution First, note that the ring contains 10 triangles. We can get that from an Icosahedron, by deleting two vertices that are opposite (like North and South poles). Secondly, we have to find a way to chain these rings. We &hellip; <a href=\"http:\/\/x-colony.com\/PoCo\/index.php\/activities\/puzzles\/tubular-rings-puzzle\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Tubular Rings Puzzle&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":77,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/x-colony.com\/PoCo\/index.php\/wp-json\/wp\/v2\/pages\/610"}],"collection":[{"href":"http:\/\/x-colony.com\/PoCo\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/x-colony.com\/PoCo\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/x-colony.com\/PoCo\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/x-colony.com\/PoCo\/index.php\/wp-json\/wp\/v2\/comments?post=610"}],"version-history":[{"count":3,"href":"http:\/\/x-colony.com\/PoCo\/index.php\/wp-json\/wp\/v2\/pages\/610\/revisions"}],"predecessor-version":[{"id":927,"href":"http:\/\/x-colony.com\/PoCo\/index.php\/wp-json\/wp\/v2\/pages\/610\/revisions\/927"}],"up":[{"embeddable":true,"href":"http:\/\/x-colony.com\/PoCo\/index.php\/wp-json\/wp\/v2\/pages\/77"}],"wp:attachment":[{"href":"http:\/\/x-colony.com\/PoCo\/index.php\/wp-json\/wp\/v2\/media?parent=610"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}