{"id":641,"date":"2011-11-10T15:16:23","date_gmt":"2011-11-10T15:16:23","guid":{"rendered":"http:\/\/quantumcinema.uni-ak.ac.at\/site\/"},"modified":"2018-10-29T07:26:43","modified_gmt":"2018-10-29T07:26:43","slug":"current-topics","status":"publish","type":"page","link":"https:\/\/quantumcinema.uni-ak.ac.at\/?page_id=641","title":{"rendered":"Current topics"},"content":{"rendered":"<h3>Poincar\u00e9 Dodecahedron principle<\/h3>\n<p><object classid=\"clsid:d27cdb6e-ae6d-11cf-96b8-444553540000\" width=\"500\" height=\"281\" codebase=\"http:\/\/download.macromedia.com\/pub\/shockwave\/cabs\/flash\/swflash.cab#version=6,0,40,0\"><param name=\"src\" value=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=52020495\" \/><embed type=\"application\/x-shockwave-flash\" width=\"500\" height=\"281\" src=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=52020495\"><\/embed><\/object><\/p>\n<p><a href=\"http:\/\/vimeo.com\/52020495\">Poincar\u00e9 Dodecahedron principle<\/a> from <a href=\"http:\/\/vimeo.com\/quehenberger\">Renate Quehenberger<\/a> on <a href=\"http:\/\/vimeo.com\">Vimeo<\/a>.<\/p>\n<p>This example shows the principle of the Poincar\u00e9 Dodecahedron applied on the 2 epitahedra filling the dodecahedron performing counter-rotation in 10 steps instead of the 2D pentagon counter-rotation suggested by Henri Poincar\u00e9 (1904) .<\/p>\n<h3>Poincar\u00e9 Epita-Dodecahedron<\/h3>\n<p><object classid=\"clsid:d27cdb6e-ae6d-11cf-96b8-444553540000\" width=\"500\" height=\"281\" codebase=\"http:\/\/download.macromedia.com\/pub\/shockwave\/cabs\/flash\/swflash.cab#version=6,0,40,0\"><param name=\"src\" value=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=52019657\" \/><embed type=\"application\/x-shockwave-flash\" width=\"500\" height=\"281\" src=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=52019657\"><\/embed><\/object><\/p>\n<p><a href=\"http:\/\/vimeo.com\/52019657\">Poincar\u00e9 Epita_Dodecahedron mov12<\/a> from <a href=\"http:\/\/vimeo.com\/quehenberger\">Renate Quehenberger<\/a> on <a href=\"http:\/\/vimeo.com\">Vimeo<\/a>.<\/p>\n<p>This visualization demonstrates the 12 steps of counter-rotating pentagons in the dodecahedron based upon Henri Poincar\u00e9&#8217;s description (1904).<br \/>\nThe pattern evolves from the 12 epitahedra,- found by R. Quehenberger (2006) &#8211; filling the dodecahedron with intersecting apexes.<br \/>\nCAD modeling and 3D animated geometry by Christian Magnes<br \/>\nscript by Renate Quehenberger<\/p>\n<h3>QC Epitahedron Examples<\/h3>\n<p>The epitahedron, a golden hexahedron, found by Renate Quehenberger 2006<br \/>\na 3D version of a 5D unit cell shows hyper-Platonic properties by constructing platonic<br \/>\nsolids in a higher dimensional view<br \/>\n3D animated geometry methods allow to indicate symmetries<\/p>\n<p>Geometry by Renate Quehenberger<br \/>\nProgramming: Dr. Hans Katzgraber<br \/>\n3D modeling and animation by Christian Magnes<br \/>\nmentoring: Peter Weibel<\/p>\n<p><object classid=\"clsid:d27cdb6e-ae6d-11cf-96b8-444553540000\" width=\"500\" height=\"281\" codebase=\"http:\/\/download.macromedia.com\/pub\/shockwave\/cabs\/flash\/swflash.cab#version=6,0,40,0\"><param name=\"play\" value=\"false\" \/><param name=\"src\" value=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=50019507\" \/><embed type=\"application\/x-shockwave-flash\" width=\"500\" height=\"281\" src=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=50019507\" play=\"false\"><\/embed><\/object><\/p>\n<p><a href=\"http:\/\/vimeo.com\/50019507\">QC Epitahedron Examples H264<\/a> from <a href=\"http:\/\/vimeo.com\/user6135530\">Renate Quehenberger<\/a> on <a href=\"http:\/\/vimeo.com\">Vimeo<\/a>.<\/p>\n<h3>Studies: 4\u03c0 evolution of e<\/h3>\n<p>Logarithmic spirals evolvement in 3D space<br \/>\ninspired by formulas in statistical thermodynamics (Erwin Schr\u00f6dinger)<br \/>\nfor further analysis<\/p>\n<p>Artist: Nikola Tasic<\/p>\n<p><object classid=\"clsid:d27cdb6e-ae6d-11cf-96b8-444553540000\" width=\"500\" height=\"281\" codebase=\"http:\/\/download.macromedia.com\/pub\/shockwave\/cabs\/flash\/swflash.cab#version=6,0,40,0\"><param name=\"play\" value=\"false\" \/><param name=\"src\" value=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=50142342\" \/><embed type=\"application\/x-shockwave-flash\" width=\"500\" height=\"281\" src=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=50142342\" play=\"false\"><\/embed><\/object><\/p>\n<p><a href=\"http:\/\/vimeo.com\/50142342\">4pi evolution of e<\/a> from <a href=\"http:\/\/vimeo.com\/user6135530\">Renate Quehenberger<\/a> on <a href=\"http:\/\/vimeo.com\">Vimeo<\/a>.<\/p>\n<h3>Emergent Structures<\/h3>\n<p>Studies of symmetries emerging from a five-vector<br \/>\nestablishing a wave-field in 5 different directions of space.<\/p>\n<p>Artist: Rudi Friemel<\/p>\n<p><object classid=\"clsid:d27cdb6e-ae6d-11cf-96b8-444553540000\" width=\"500\" height=\"281\" codebase=\"http:\/\/download.macromedia.com\/pub\/shockwave\/cabs\/flash\/swflash.cab#version=6,0,40,0\"><param name=\"play\" value=\"false\" \/><param name=\"src\" value=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=32378246\" \/><embed type=\"application\/x-shockwave-flash\" width=\"500\" height=\"281\" src=\"http:\/\/vimeo.com\/moogaloop.swf?clip_id=32378246\" play=\"false\"><\/embed><\/object><\/p>\n<p><a href=\"http:\/\/vimeo.com\/32378246\">Emergent Structures<\/a> from <a href=\"http:\/\/vimeo.com\/user6135530\">Renate Quehenberger<\/a> on <a href=\"http:\/\/vimeo.com\">Vimeo<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Poincar\u00e9 Dodecahedron principle Poincar\u00e9 Dodecahedron principle from Renate Quehenberger on Vimeo. This example shows the principle of the Poincar\u00e9 Dodecahedron&hellip; <a class=\"read-more\" href=\"https:\/\/quantumcinema.uni-ak.ac.at\/?page_id=641\">Weiterlesen<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":16,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-641","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/pages\/641","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=641"}],"version-history":[{"count":1,"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/pages\/641\/revisions"}],"predecessor-version":[{"id":1334,"href":"https:\/\/quantumcinema.uni-ak.ac.at\/index.php?rest_route=\/wp\/v2\/pages\/641\/revisions\/1334"}],"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=641"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}