{"id":236011,"date":"2023-04-04T19:23:50","date_gmt":"2023-04-04T13:53:50","guid":{"rendered":"https:\/\/blog.forumias.com\/?p=236011"},"modified":"2023-04-04T19:23:50","modified_gmt":"2023-04-04T13:53:50","slug":"einstein-tile-new-shape-answers-a-50-year-old-geometry-mystery","status":"publish","type":"post","link":"https:\/\/forumias.com\/blog\/einstein-tile-new-shape-answers-a-50-year-old-geometry-mystery\/","title":{"rendered":"Einstein Tile: New shape answers a 50-year-old geometry mystery"},"content":{"rendered":"\n<p><b>Source: <\/b><span style=\"font-weight: 400;\">The post is based on the article \u201c<\/span><b>New shape answers a 50-year-old geometry mystery\u201d <\/b><span style=\"font-weight: 400;\">published in <\/span><b>The Hindu <\/b>on<b> 2nd April 2023<\/b><\/p>\n<h2><b>What is the News?<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">A group of four scientists have discovered an entirely new shape which has 13 sides and has named it \u201cthe hat\u201d. It is the first \u2018Einstein\u2019 tile to have been found.<\/span><\/p>\n<h2><b>What is Einstein Tile?<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">It is a shape that could be singularly used to create a non-repeating (aperiodic) pattern on an infinitely large plane.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A set of tile types is considered to be aperiodic if copies of these tiles can only form patterns without repetition.<\/span><\/p>\n<p><b>Note: <\/b><span style=\"font-weight: 400;\">The name bears no connection to Albert Einstein but means \u2018one stone\u2019 in German.<\/span><\/p>\n<h2><b>What is the significance of this discovery?<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">The discovery has answered a long-standing question in the field of plane geometry\u00a0<\/span><span style=\"font-weight: 400;\">where one tries to tile a plane in different ways. While several ways tiling exists in <\/span><span style=\"font-weight: 400;\">nature and the real world (think bathroom tiles or the hexagons of honeycomb), these\u00a0<\/span><span style=\"font-weight: 400;\">are periodic and have a translation symmetry\u2013the size, shape and angle remain the <\/span><span style=\"font-weight: 400;\">same, only the location changes.<\/span><\/p>\n<h2><b>What are the applications of this discovery?<\/b><\/h2>\n<p><b>First,<\/b><span style=\"font-weight: 400;\"> aperiodic tiling will help physicists and chemists understand the structure and behaviour of quasicrystals, structures in which the atoms are ordered but do not have a repeating pattern.<\/span><\/p>\n<p><b>Second, <\/b><span style=\"font-weight: 400;\">the newly discovered tile might be a springboard for innovative art.\u00a0<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Source: The post is based on the article \u201cNew shape answers a 50-year-old geometry mystery\u201d published in The Hindu on 2nd April 2023 What is the News? A group of four scientists have discovered an entirely new shape which has 13 sides and has named it \u201cthe hat\u201d. It is the first \u2018Einstein\u2019 tile to&hellip; <a class=\"more-link\" href=\"https:\/\/forumias.com\/blog\/einstein-tile-new-shape-answers-a-50-year-old-geometry-mystery\/\">Continue reading <span class=\"screen-reader-text\">Einstein Tile: New shape answers a 50-year-old geometry mystery<\/span><\/a><\/p>\n","protected":false},"author":10317,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"categories":[1566,1738,9],"tags":[10498],"class_list":["post-236011","post","type-post","status-publish","format-standard","hentry","category-daily-factly-articles","category-science-and-technology-daily-factly-articles","category-public","tag-the-hindu","entry"],"jetpack_featured_media_url":"","views":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/forumias.com\/blog\/wp-json\/wp\/v2\/posts\/236011","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/forumias.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/forumias.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/forumias.com\/blog\/wp-json\/wp\/v2\/users\/10317"}],"replies":[{"embeddable":true,"href":"https:\/\/forumias.com\/blog\/wp-json\/wp\/v2\/comments?post=236011"}],"version-history":[{"count":0,"href":"https:\/\/forumias.com\/blog\/wp-json\/wp\/v2\/posts\/236011\/revisions"}],"wp:attachment":[{"href":"https:\/\/forumias.com\/blog\/wp-json\/wp\/v2\/media?parent=236011"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/forumias.com\/blog\/wp-json\/wp\/v2\/categories?post=236011"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/forumias.com\/blog\/wp-json\/wp\/v2\/tags?post=236011"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}