{"id":27,"date":"2010-06-22T10:02:39","date_gmt":"2010-06-22T10:02:39","guid":{"rendered":"http:\/\/quantumcinema-digitalvision.uni-ak.ac.at\/wordpress\/?page_id=27"},"modified":"2018-10-29T07:26:55","modified_gmt":"2018-10-29T07:26:55","slug":"topology-of-lie-algebra","status":"publish","type":"page","link":"https:\/\/quantumcinema.uni-ak.ac.at\/?page_id=27","title":{"rendered":"Analysis und Scientific Computing"},"content":{"rendered":"<p>The QC-project is be supported by <a href=\"http:\/\/asc.tuwien.ac.at\/index.php?id=410\" target=\"_blank\"><strong>Prof.  Martin Bluemlinger<\/strong><\/a> (Institute for Analysis and Scientific Computing, Vienna University of Technology) in research on the visualisation of group theory and questions about the   topology of complex number space and lie algebra.<\/p>\n<p>The epitahedra family is able to uniquely mark the 20 points of the icosahedron by its position. This finding of the QC-group is described in our article <a href=\"https:\/\/testquantumcinema.uni-ak.ac.at\/wp-content\/uploads\/2012\/10\/VisMath_Contribution2.pdf\" target=\"_blank\">The Visualisation of the icosahedral group in a new 3D representation<\/a>.<\/p>\n<p><object classid=\"clsid:d27cdb6e-ae6d-11cf-96b8-444553540000\" width=\"560\" height=\"314\" codebase=\"http:\/\/download.macromedia.com\/pub\/shockwave\/cabs\/flash\/swflash.cab#version=6,0,40,0\"><param name=\"play\" value=\"false\" \/><param name=\"loop\" value=\"false\" \/><param name=\"src\" value=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=50231760\" \/><embed type=\"application\/x-shockwave-flash\" width=\"560\" height=\"314\" src=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=50231760\" loop=\"false\" play=\"false\"><\/embed><\/object><\/p>\n<p><a href=\"http:\/\/vimeo.com\/50231760\">A Visualisation of an Icosahedral Subgroup in a new 3D Representation<\/a> from <a href=\"http:\/\/vimeo.com\/quehenberger\">Renate Quehenberger<\/a> on <a href=\"http:\/\/vimeo.com\">Vimeo<\/a>.<\/p>\n<p>This 3D animated geometry programmed by Hans Katzgraber and modelled and animated by Christian Magnes shows how the epitahedron E+ indicates an icosahdral subgroup: The apex C of the epitahedron E+  ( with vertices C, A, B, F touching the vertices of the icosahdron) goes through all 12  vertices of the icosahedron ( points C-Q-N-M-A-E- L-K-B-F-P-O ) within the Platonic solid on the \u201crosetta path\u201d introduced by co-worker Dipl.Ing.Dr. Hans Katzgraber to visualise a full icosahedral subgroup.<\/p>\n<p>Please note that together all the edges of the performed positions of the epitahedron form a GREAT DODECAHDRON.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The QC-project is be supported by Prof. Martin Bluemlinger (Institute for Analysis and Scientific Computing, Vienna University of Technology) in&hellip; <a class=\"read-more\" href=\"https:\/\/quantumcinema.uni-ak.ac.at\/?page_id=27\">Weiterlesen<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":16,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-27","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/pages\/27","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=27"}],"version-history":[{"count":1,"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/pages\/27\/revisions"}],"predecessor-version":[{"id":1335,"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/pages\/27\/revisions\/1335"}],"up":[{"embeddable":true,"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/pages\/16"}],"wp:attachment":[{"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=27"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}