{"id":980,"date":"2014-12-16T19:24:11","date_gmt":"2014-12-16T19:24:11","guid":{"rendered":"http:\/\/wp.andreas.bieri.name\/myblog\/?p=980"},"modified":"2014-12-16T19:24:11","modified_gmt":"2014-12-16T19:24:11","slug":"mathematische-software-vorgestellt-knotplot","status":"publish","type":"post","link":"http:\/\/wp.andreas.bieri.name\/myblog\/2014\/12\/16\/mathematische-software-vorgestellt-knotplot\/","title":{"rendered":"Mathematische Software vorgestellt: Knotplot"},"content":{"rendered":"<h3>Was es ist<\/h3>\n<p>Knotplot zeichnet, visualisiert und berechnet Knoten mit topologischen Informationen:\u00a0<em>Knotplot &#8211; an elaborate program to visualize and manipulate mathematical knots in three and four dimensions. <\/em>Das Programm ist sehr alt und die meisten Links sind tot. Aber die mathematische Theorie dahinter ist immer noch lebendig.\u00a0<a href=\"http:\/\/www.knotplot.com\/\" target=\"_blank\">Link zur Knotplot Webseite<\/a>.<\/p>\n<p>&nbsp;<\/p>\n<h3>Beispiel:<\/h3>\n<p>Dieses Gebilde zerf\u00e4llt, sobald eine der 6 Bestandteile entzweigeschnitten wird (ein sog. Brunnian Link).<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.youtube.com\/watch?feature=player_embedded&amp;v=vshcgnSUtyI\" target=\"_blank\">Link zum Video.<\/a><\/p>\n<h3><\/h3>\n<h3>Einf\u00fchrungen<\/h3>\n<ul>\n<li><a href=\"https:\/\/web.njit.edu\/~kappraff\/KnotPlot.pdf\" target=\"_blank\">DRAWING KNOTS BY THE PROGRAM KnotPlot<\/a>\u00a0(Achtung alt)<\/li>\n<li>Buch\u00a0<a href=\"http:\/\/link.springer.com\/chapter\/10.1007%2F978-3-642-56240-2_17\" target=\"_blank\">Interactive Knot Theory with KnotPlot<\/a>\u00a0Springer Verlag<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathimagery\/thumbnails.php?album=7\" target=\"_blank\">Mathematical Imagery<\/a> Galerie bei\u00a0AMS American Mathematical Society\u00a0(sehr sehenswerte Seite f\u00fcr mathematische Bilder allgemein)<\/li>\n<\/ul>\n<p><img class=\"aligncenter\" src=\"http:\/\/www.ams.org\/mathimagery\/albums\/userpics\/10001\/normal_symmetry3.jpg\" alt=\"Klicken f\u00fcr Bild in voller Gr\u00f6\u00dfe\" \/><\/p>\n<h3><\/h3>\n<h3>Knoten Zoo<\/h3>\n<p><img loading=\"lazy\" class=\"size-full wp-image-982 aligncenter\" src=\"http:\/\/wp.andreas.bieri.name\/wp-content\/uploads\/2016\/05\/knoten-1.jpg\" alt=\"knoten-1\" width=\"626\" height=\"820\" srcset=\"http:\/\/wp.andreas.bieri.name\/myblog\/wp-content\/uploads\/2016\/05\/knoten-1.jpg 626w, http:\/\/wp.andreas.bieri.name\/myblog\/wp-content\/uploads\/2016\/05\/knoten-1-229x300.jpg 229w\" sizes=\"(max-width: 626px) 100vw, 626px\" \/><\/p>\n<h3><\/h3>\n<h3>Anwendungen (Wissenschaftliche Artikel Knotentheorie)<\/h3>\n<ul>\n<li><a href=\"https:\/\/arxiv.org\/ftp\/arxiv\/papers\/1202\/1202.2180.pdf\" target=\"_blank\">Following Knots Down Their Energy Gradients<\/a>\u00a0L.H. Kauffmann<\/li>\n<li><a href=\"https:\/\/arxiv.org\/ftp\/arxiv\/papers\/1501\/1501.05365.pdf\" target=\"_blank\">Automated Reidemeister Moves: A Numerical Approach to the Unknotting Problem<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Weitere Galerien mit mathematischen Bildern<\/h3>\n<ul>\n<li><a href=\"http:\/\/blogs.ams.org\/visualinsight\/\" target=\"_blank\">AMS &#8211; Visual Insights<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Was es ist Knotplot zeichnet, visualisiert und berechnet Knoten mit topologischen Informationen:\u00a0Knotplot &#8211; an elaborate program to visualize and manipulate mathematical knots in three and four dimensions. Das Programm ist sehr alt und die meisten Links sind tot. Aber die mathematische Theorie dahinter ist immer noch lebendig.\u00a0Link zur Knotplot Webseite. &nbsp; Beispiel: Dieses Gebilde zerf\u00e4llt, [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4],"tags":[66,67],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mathematische Software vorgestellt: Knotplot - 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:\/\/wp.andreas.bieri.name\/myblog\/2014\/12\/16\/mathematische-software-vorgestellt-knotplot\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mathematische Software vorgestellt: Knotplot - Merkbar.\" \/>\n<meta property=\"og:description\" content=\"Was es ist Knotplot zeichnet, visualisiert und berechnet Knoten mit topologischen Informationen:\u00a0Knotplot &#8211; an elaborate program to visualize and manipulate mathematical knots in three and four dimensions. 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Aber die mathematische Theorie dahinter ist immer noch lebendig.\u00a0Link zur Knotplot Webseite. &nbsp; Beispiel: Dieses Gebilde zerf\u00e4llt, [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"http:\/\/wp.andreas.bieri.name\/myblog\/2014\/12\/16\/mathematische-software-vorgestellt-knotplot\/\" \/>\n<meta property=\"og:site_name\" content=\"Merkbar.\" \/>\n<meta property=\"article:published_time\" content=\"2014-12-16T19:24:11+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/www.ams.org\/mathimagery\/albums\/userpics\/10001\/normal_symmetry3.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Verfasst von\" \/>\n\t<meta name=\"twitter:data1\" content=\"wp_blogadmin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Gesch\u00e4tzte Lesezeit\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 Minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/#website\",\"url\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/\",\"name\":\"Merkbar.\",\"description\":\"IT, Elektronik und Mathematik\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"de\"},{\"@type\":\"ImageObject\",\"@id\":\"http:\/\/wp.andreas.bieri.name\/myblog\/2014\/12\/16\/mathematische-software-vorgestellt-knotplot\/#primaryimage\",\"inLanguage\":\"de\",\"url\":\"http:\/\/www.ams.org\/mathimagery\/albums\/userpics\/10001\/normal_symmetry3.jpg\",\"contentUrl\":\"http:\/\/www.ams.org\/mathimagery\/albums\/userpics\/10001\/normal_symmetry3.jpg\"},{\"@type\":\"WebPage\",\"@id\":\"http:\/\/wp.andreas.bieri.name\/myblog\/2014\/12\/16\/mathematische-software-vorgestellt-knotplot\/#webpage\",\"url\":\"http:\/\/wp.andreas.bieri.name\/myblog\/2014\/12\/16\/mathematische-software-vorgestellt-knotplot\/\",\"name\":\"Mathematische Software vorgestellt: Knotplot - Merkbar.\",\"isPartOf\":{\"@id\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"http:\/\/wp.andreas.bieri.name\/myblog\/2014\/12\/16\/mathematische-software-vorgestellt-knotplot\/#primaryimage\"},\"datePublished\":\"2014-12-16T19:24:11+00:00\",\"dateModified\":\"2014-12-16T19:24:11+00:00\",\"author\":{\"@id\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/#\/schema\/person\/47691942dec3f2eb9d34bb8b5507870d\"},\"breadcrumb\":{\"@id\":\"http:\/\/wp.andreas.bieri.name\/myblog\/2014\/12\/16\/mathematische-software-vorgestellt-knotplot\/#breadcrumb\"},\"inLanguage\":\"de\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\/\/wp.andreas.bieri.name\/myblog\/2014\/12\/16\/mathematische-software-vorgestellt-knotplot\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\/\/wp.andreas.bieri.name\/myblog\/2014\/12\/16\/mathematische-software-vorgestellt-knotplot\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Startseite\",\"item\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Mathematische Software vorgestellt: Knotplot\"}]},{\"@type\":\"Person\",\"@id\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/#\/schema\/person\/47691942dec3f2eb9d34bb8b5507870d\",\"name\":\"wp_blogadmin\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/#personlogo\",\"inLanguage\":\"de\",\"url\":\"http:\/\/1.gravatar.com\/avatar\/d0dc804558b03f640b22e497ec010c9a?s=96&d=mm&r=g\",\"contentUrl\":\"http:\/\/1.gravatar.com\/avatar\/d0dc804558b03f640b22e497ec010c9a?s=96&d=mm&r=g\",\"caption\":\"wp_blogadmin\"},\"url\":\"http:\/\/wp.andreas.bieri.name\/myblog\/author\/wp_blogadmin\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Mathematische Software vorgestellt: Knotplot - Merkbar.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/wp.andreas.bieri.name\/myblog\/2014\/12\/16\/mathematische-software-vorgestellt-knotplot\/","og_locale":"de_DE","og_type":"article","og_title":"Mathematische Software vorgestellt: Knotplot - Merkbar.","og_description":"Was es ist Knotplot zeichnet, visualisiert und berechnet Knoten mit topologischen Informationen:\u00a0Knotplot &#8211; an elaborate program to visualize and manipulate mathematical knots in three and four dimensions. 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