{"id":3808,"date":"2022-09-15T12:20:45","date_gmt":"2022-09-15T10:20:45","guid":{"rendered":"https:\/\/erlebnisland-mathematik.de\/?page_id=3808"},"modified":"2023-01-26T11:36:03","modified_gmt":"2023-01-26T10:36:03","slug":"advanced-text-yamatarajabhanasalaga","status":"publish","type":"page","link":"https:\/\/erlebnisland-mathematik.de\/en\/advanced-text-yamatarajabhanasalaga\/","title":{"rendered":"Advanced text Yam\u0101t\u0101r\u0101jabh\u0101nasalag\u0101"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p>[vc_row drowwidth=&#8221;sidebar-biest-default sidebar-biest&#8221;][vc_column][vc_column_text]<\/p>\n<h1>Yam\u0101t\u0101r\u0101jabh\u0101nasalag\u0101<\/h1>\n<p>On the edge of our plenum you see a special arrangement of zeros and ones made of wood. Think of any sequence of exactly six zeros and ones, e.g. 100110. Find your invented sequence on the edge of the plenary. Can you find it only once? This wooden zero-one sequence is an example of a so-called de Bruijn sequence.<\/p>\n<p>The Sanskrit artificial word Yam\u0101t\u0101r\u0101jabh\u0101nasalag\u0101, which we have chosen as a name, also describes a de Bruijn sequence, here of short and long syllables. If you look only at the vowels, you get the sequence<\/p>\n<p>a \u0101 \u0101 \u0101 a \u0101 a a a \u0101.<\/p>\n<p>In it, each three-element subsequence occurs exactly once:<\/p>\n<p>a \u0101 \u0101, \u0101 \u0101 \u0101, \u0101 \u0101 a, \u0101 a \u0101, a \u0101 a, \u0101 a a, a a a, a a \u0101.<\/p>\n<p>The back of the plenary explains how this sequence is constructed.[\/vc_column_text][vc_column_text]<\/p>\n<h3>How the sequence of numbers on the plenum edge is constructed<\/h3>\n<p>[\/vc_column_text][vc_column_text]Stand behind the plenary. Place your hands on two of the wooden numbers on the upper rim so that exactly four numbers are free between them. Feel if there is a zero or a one under your left hand. Now you can predict which digit will result if you move your right hand one digit to the right. If there is a one under your left hand, the number on the right changes. If there is a zero on the left, it remains the same. After you have moved the right hand one digit further, also move the left hand one digit to the right, so that again four digits remain free between the two hands. You can now repeat the same rule. In this way, the entire sequence is obtained with the exception of the last digit.[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row drowwidth=&#8221;sidebar-biest-default sidebar-biest&#8221;][vc_column][vc_column_text] Yam\u0101t\u0101r\u0101jabh\u0101nasalag\u0101 On the edge of our plenum you see a special arrangement of zeros and ones made of wood. Think of any sequence of exactly six zeros and ones, e.g. 100110. Find your invented sequence on the edge of the plenary. Can you find it only once? This wooden zero-one sequence is <a href=\"https:\/\/erlebnisland-mathematik.de\/en\/advanced-text-yamatarajabhanasalaga\/\" class=\"more-link\">&#8230;<span class=\"screen-reader-text\">  Advanced text Yam\u0101t\u0101r\u0101jabh\u0101nasalag\u0101<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"folder":[],"class_list":["post-3808","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/erlebnisland-mathematik.de\/en\/wp-json\/wp\/v2\/pages\/3808","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/erlebnisland-mathematik.de\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/erlebnisland-mathematik.de\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/erlebnisland-mathematik.de\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/erlebnisland-mathematik.de\/en\/wp-json\/wp\/v2\/comments?post=3808"}],"version-history":[{"count":6,"href":"https:\/\/erlebnisland-mathematik.de\/en\/wp-json\/wp\/v2\/pages\/3808\/revisions"}],"predecessor-version":[{"id":4056,"href":"https:\/\/erlebnisland-mathematik.de\/en\/wp-json\/wp\/v2\/pages\/3808\/revisions\/4056"}],"wp:attachment":[{"href":"https:\/\/erlebnisland-mathematik.de\/en\/wp-json\/wp\/v2\/media?parent=3808"}],"wp:term":[{"taxonomy":"folder","embeddable":true,"href":"https:\/\/erlebnisland-mathematik.de\/en\/wp-json\/wp\/v2\/folder?post=3808"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}