{"id":144,"date":"2016-07-25T09:28:25","date_gmt":"2016-07-25T09:28:25","guid":{"rendered":"http:\/\/wp.andreas.bieri.name\/myblog\/?p=144"},"modified":"2016-07-25T09:28:25","modified_gmt":"2016-07-25T09:28:25","slug":"roboter-lost-rubiks-cube-unter-1-sekunden","status":"publish","type":"post","link":"http:\/\/52.29.166.97\/myblog\/2016\/07\/25\/roboter-lost-rubiks-cube-unter-1-sekunden\/","title":{"rendered":"Roboter l\u00f6st Rubiks Cube unter 1 Sekunden"},"content":{"rendered":"<h3>Gott unter 1 Sekunde<\/h3>\n<p>Ich bin sprachlos \ud83d\ude42 Beeindruckend sind diese Bestandteile je schon f\u00fcr sich selber:<\/p>\n<ul>\n<li>automatische Erkennung des Zustandes per Kamera<\/li>\n<li>Peformances des L\u00f6sungsalgorithmus &#8211; Implementation des <em>Gottes-Algorithmus<\/em> mit max. 26 Vierteldrehungen resp. 20 Halb- oder Vierteldrehungen. Die L\u00e4nge des optimalen Algorithmus &#8211; Gottes Algorithmus wurde auch Gottes Zahl geannt. Thomas Rockicki bewies resp. berechnete 2008 diese: sie ist 20 (<a href=\"http:\/\/cube20.org\/\" target=\"_blank\">&#8222;THE DIAMETER OF THE RUBIK\u2019S CUBE GROUP IS TWENTY&#8220;<\/a>)<\/li>\n<li>elektronische Steuerung<\/li>\n<li>mechanische Realisierung &#8211; 26 Drehungen in einer Sekunde, ohne dass der W\u00fcrfel explodiert (wie wurde der wohl geschmiert?)<\/li>\n<\/ul>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-145\" src=\"http:\/\/wp.andreas.bieri.name\/wp-content\/uploads\/2016\/03\/Rubi.png\" alt=\"Rubi\" width=\"800\" height=\"600\" srcset=\"http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2016\/03\/Rubi.png 800w, http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2016\/03\/Rubi-300x225.png 300w, http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2016\/03\/Rubi-768x576.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Hintergrundinformationen zum Projekt und zum L\u00f6sungsweg:<\/p>\n<ul>\n<li><a href=\"http:\/\/blog.atmel.com\/2016\/02\/24\/this-machine-can-solve-the-rubiks-cube-in-just-0-887-seconds\/?utm_campaign=Feb_2016_eNewsletter%20&amp;utm_medium=email&amp;utm_source=Eloqua\" target=\"_blank\">http:\/\/blog.atmel.com\/2016\/02\/24\/this-machine-can-solve-the-rubiks-cube-in-just-0-887-seconds\/?utm_campaign=Feb_2016_eNewsletter%20&amp;utm_medium=email&amp;utm_source=Eloqua<\/a><\/li>\n<li><a href=\"http:\/\/www.gizmag.com\/jay-flatland-paul-rose-rubiks-cube-robot\/41523\/\" target=\"_blank\">http:\/\/www.gizmag.com\/jay-flatland-paul-rose-rubiks-cube-robot\/41523\/<\/a><\/li>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Optimal_solutions_for_Rubik%27s_Cube\" target=\"_blank\">https:\/\/en.wikipedia.org\/wiki\/Optimal_solutions_for_Rubik%27s_Cube<\/a><\/li>\n<li><a href=\"http:\/\/kociemba.org\/performance.htm\">http:\/\/kociemba.org\/performance.htm<\/a><\/li>\n<li><a href=\"http:\/\/cube20.org\/\" target=\"_blank\">http:\/\/cube20.org\/<\/a> mit Source Code in CWEB, seit LaTeX Zeiten nicht mehr angetroffen<\/li>\n<\/ul>\n<h3><\/h3>\n<h3>Andere Projekte<\/h3>\n<p>Gem\u00e4chlicher geht es bei diesem Projekt zu und her, die Erkl\u00e4rungen lohnen die Lekt\u00fcre:\u00a0<a href=\"https:\/\/blog.zok.pw\/hacking\/2015\/08\/18\/fac-rubik-solver\/\" target=\"_blank\">FAC system Rubik&#8217;s Cube solver<\/a>. Diese Projekt l\u00f6st den W\u00fcrfel mit der ziemlich optimalen Methode von Kociemba, implementiert in Python (auf <a href=\"https:\/\/github.com\/muodov\/kociemba\" target=\"_blank\">Github<\/a>) und in <a href=\"http:\/\/blog.zok.pw\/hacking\/2015\/08\/18\/fac-rubik-solver\/\" target=\"_blank\">reinem C<\/a> &#8211; diese Version findet eine L\u00f6sung auf einem RPi angeblich in 1 Sekunde.<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-1506 aligncenter\" src=\"http:\/\/wp.andreas.bieri.name\/wp-content\/uploads\/2016\/03\/fac1.png\" alt=\"fac1\" width=\"840\" height=\"364\" srcset=\"http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2016\/03\/fac1.png 840w, http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2016\/03\/fac1-300x130.png 300w, http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2016\/03\/fac1-768x333.png 768w\" sizes=\"(max-width: 840px) 100vw, 840px\" \/><\/p>\n<p>Ein mechanisch verbessertes Nachfolgeprojekt wurd ein Meccano realisiert <a href=\"https:\/\/meccanokinematics.net\/meccano-rubiks-shrine\/#make-your-own-cube-solver\" target=\"_blank\">Meccano Rubik&#8217;s Shrine<\/a>\u00a0und \u00fcberzeugt auch optisch:<\/p>\n<p><img loading=\"lazy\" class=\" wp-image-1824 aligncenter\" src=\"http:\/\/wp.andreas.bieri.name\/wp-content\/uploads\/2016\/07\/rubik-shrine1.jpg\" alt=\"rubik-shrine1\" width=\"638\" height=\"444\" srcset=\"http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2016\/07\/rubik-shrine1.jpg 428w, http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2016\/07\/rubik-shrine1-300x209.jpg 300w\" sizes=\"(max-width: 638px) 100vw, 638px\" \/><\/p>\n<p>&nbsp;<\/p>\n<h3>Quellen und Hintergrundinformationen<\/h3>\n<p>Weiterf\u00fchrendes zum Rubik W\u00fcrfel und der Mathematik dahinter gibt es hier:<\/p>\n<ul>\n<li>Wikipedia\u00a0<a href=\"https:\/\/de.wikipedia.org\/wiki\/Zauberw%C3%BCrfel\" target=\"_blank\">https:\/\/de.wikipedia.org\/wiki\/Zauberw%C3%BCrfel<\/a><\/li>\n<li>Matroids Matheplanet <a href=\"http:\/\/matheplanet.com\/default3.html?call=article.php?sid=1154&amp;mode=&amp;order=0&amp;ref=https%3A%2F%2Fwww.google.ch%2F\" target=\"_blank\">http:\/\/matheplanet.com\/default3.html?call=article.php?sid=1154&amp;mode=&amp;order=0&amp;ref=https%3A%2F%2Fwww.google.ch%2F<\/a><\/li>\n<li>Analyse mit dem Algebra Programm GAP:\u00a0<a href=\"http:\/\/www.gap-system.org\/Doc\/Examples\/rubik.html\" target=\"_blank\">Analyzing Rubik&#8217;s Cube with GAP<\/a><\/li>\n<li>Siehe auch den <a href=\"http:\/\/www.ingvet.kau.se\/juerfuch\/kurs\/sgat\/prst\/s11_cubR.pdf\" target=\"_blank\">sch\u00f6nen Artikel<\/a><\/li>\n<li>Rockicki et al.:\u00a0<a href=\"http:\/\/tomas.rokicki.com\/rubik20.pdf\" target=\"_blank\">THE DIAMETER OF THE RUBIK\u2019S CUBE GROUP IS TWENTY<\/a>\u00a0seine <a href=\"http:\/\/tomas.rokicki.com\/\" target=\"_blank\">pers\u00f6nliche Seite\u00a0<\/a><\/li>\n<li><a href=\"http:\/\/www.geometer.org\/rubik\/group.pdf\" target=\"_blank\">Group Theory via Rubik\u2019s Cube<\/a>\u00a0siehe den vorherigen <a href=\"http:\/\/wp.andreas.bieri.name\/myblog\/index.php\/2016\/07\/24\/mathematische-sw-kurz-vorgestellt-gap\/\">Blogeintrag\u00a0<\/a><\/li>\n<li><a href=\"http:\/\/web.mit.edu\/sp.268\/www\/rubik.pdf\" target=\"_blank\">The Mathematics of the Rubik\u2019s Cube<\/a><\/li>\n<li><a href=\"http:\/\/arxiv.org\/abs\/math\/0512485\" target=\"_blank\">Algorithms for Solving Rubik&#8217;s Cubes<\/a><\/li>\n<li>Rubiks Revenge ist 4x4x4 W\u00fcrfel:\u00a0<a href=\"https:\/\/arxiv.org\/pdf\/1601.05744.pdf\" target=\"_blank\">Sub-Optimal Multi-Phase Path Planning: A Method for Solving Rubik\u2019s Revenge<\/a><\/li>\n<\/ul>\n<p>Software<\/p>\n<ul>\n<li><a href=\"http:\/\/kociemba.org\/cube.htm\" target=\"_blank\">L\u00f6sungsprogramm Cube Explorer<\/a><\/li>\n<\/ul>\n<p>Die klassischen B\u00fccher aus den 80er Jahren sind diese:<\/p>\n<ul>\n<li>Wolfgang Hintze: Der ungarische Zauberw\u00fcrfel, VEB Deutscher Verlag der \u00a0Wissenschaften 1982<br \/>\n(mein Exemplar habe ich 1989 in Ostberlin gekauft und noch pers\u00f6nlich durch den Checkpoint Charlie getragen)<\/li>\n<li>Kurt Endl: Die gemeinsame Strategie f\u00fcr alle rubik&#8217;schen W\u00fcrfel, W\u00fcrfel-Verlag GmbH 1983<\/li>\n<li>Alexander H. Frey, David Singmaster: Handbook of Cubik Math, Enslow Publishers Inc. 1982<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Gott unter 1 Sekunde Ich bin sprachlos \ud83d\ude42 Beeindruckend sind diese Bestandteile je schon f\u00fcr sich selber: automatische Erkennung des Zustandes per Kamera Peformances des L\u00f6sungsalgorithmus &#8211; Implementation des Gottes-Algorithmus mit max. 26 Vierteldrehungen resp. 20 Halb- oder Vierteldrehungen. Die L\u00e4nge des optimalen Algorithmus &#8211; Gottes Algorithmus wurde auch Gottes Zahl geannt. Thomas Rockicki bewies [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[11,4],"tags":[53,114],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Roboter l\u00f6st Rubiks Cube unter 1 Sekunden - Merkbar.<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/52.29.166.97\/myblog\/2016\/07\/25\/roboter-lost-rubiks-cube-unter-1-sekunden\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Roboter l\u00f6st Rubiks Cube unter 1 Sekunden - Merkbar.\" \/>\n<meta property=\"og:description\" content=\"Gott unter 1 Sekunde Ich bin sprachlos \ud83d\ude42 Beeindruckend sind diese Bestandteile je schon f\u00fcr sich selber: automatische Erkennung des Zustandes per Kamera Peformances des L\u00f6sungsalgorithmus &#8211; Implementation des Gottes-Algorithmus mit max. 26 Vierteldrehungen resp. 20 Halb- oder Vierteldrehungen. 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