{"id":5267,"date":"2011-02-09T22:24:05","date_gmt":"2011-02-09T22:24:05","guid":{"rendered":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/?p=5267"},"modified":"2011-02-10T09:33:52","modified_gmt":"2011-02-10T09:33:52","slug":"press-release-animations","status":"publish","type":"post","link":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/?p=5267","title":{"rendered":"Press release: animations"},"content":{"rendered":"<p>Below are animations showing some of the shapes that we have analyzed in our project so far.\u00a0 Please <a href=\"mailto:t.coates@imperial.ac.uk\">email me<\/a> if you need higher or lower resolution versions.\u00a0 An explanation of what the animations show is <a href=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/?p=5228#explanation\">here<\/a>.<\/p>\n<ul>\n<li>Animation 1: slices of the Fano variety <img src='http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/latex\/81e\/81ed5ef3779e6b081b22740d7399b22f-ffffff-000000-0.png' alt='V_2' title='V_2' class='latex' \/> seen from several different angles.\u00a0 <a href=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V2slices.mov\">Hi-res version.<\/a> <a href=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V2slices-desktop.m4v\">Low-res version.<\/a><br \/>\n<script src=\"http:\/\/www.apple.com\/library\/quicktime\/scripts\/ac_quicktime.js\" type=\"text\/javascript\"><\/script> <script src=\"http:\/\/www.apple.com\/library\/quicktime\/scripts\/qtp_library.js\" type=\"text\/javascript\"><\/script><\/p>\n<p><script type=\"text\/javascript\">\/\/ <![CDATA[\n \tQT_WritePoster_XHTML('Click to Play', 'http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V2slices-poster.jpg', \t\t'http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V2slices.mov', \t\t'960', '496', '', \t\t'controller', 'true', \t\t'autoplay', 'true', \t\t'bgcolor', 'black', \t\t'scale', 'aspect');\n\/\/ ]]><\/script><br \/>\n<noscript><br \/>\n<span class=\"mceItemObject\"  width=\"960\" height=\"496\" classid=\"clsid:02BF25D5-8C17-4B23-BC80-D3488ABDDC6B\" codebase=\"http:\/\/www.apple.com\/qtactivex\/qtplugin.cab\"><br \/>\n<span  name=\"src\" value=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V2slices-poster.jpg\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"href\" value=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V2slices.mov\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"target\" value=\"myself\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"controller\" value=\"false\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"autoplay\" value=\"false\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"scale\" value=\"aspect\" class=\"mceItemParam\"><\/span>\t<span class=\"mceItemEmbed\"  width=\"960\" height=\"496\" type=\"video\/quicktime\" pluginspage=\"http:\/\/www.apple.com\/quicktime\/download\/\"\t\tsrc=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V2slices-poster.jpg\"\t\thref=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V2slices.mov\"\t\ttarget=\"myself\"\t\tcontroller=\"false\"\t\tautoplay=\"false\"\t\tscale=\"aspect\"><\/span>\t<\/span><br \/>\n<\/noscript><\/li>\n<li>Animation 2: slices of the Fano variety <img src='http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/latex\/92d\/92d4a97d2a7b5a862a18804f41085d99-ffffff-000000-0.png' alt='V_4' title='V_4' class='latex' \/> seen from two different angles.\u00a0 <a href=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V4slices.mov\">Hi-res version.<\/a> <a href=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V4slices-desktop.m4v\">Low-res version.<\/a><br \/>\n<script type=\"text\/javascript\">\/\/ <![CDATA[\n \tQT_WritePoster_XHTML('Click to Play', 'http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V4slices-poster.jpg', \t\t'http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V4slices.mov', \t\t'960', '496', '', \t\t'controller', 'true', \t\t'autoplay', 'true', \t\t'bgcolor', 'black', \t\t'scale', 'aspect');\n\/\/ ]]><\/script><br \/>\n<noscript><br \/>\n<span class=\"mceItemObject\"  width=\"960\" height=\"496\" classid=\"clsid:02BF25D5-8C17-4B23-BC80-D3488ABDDC6B\" codebase=\"http:\/\/www.apple.com\/qtactivex\/qtplugin.cab\"><br \/>\n<span  name=\"src\" value=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V4slices-poster.jpg\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"href\" value=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V4slices.mov\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"target\" value=\"myself\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"controller\" value=\"false\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"autoplay\" value=\"false\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"scale\" value=\"aspect\" class=\"mceItemParam\"><\/span>\t<span class=\"mceItemEmbed\"  width=\"960\" height=\"496\" type=\"video\/quicktime\" pluginspage=\"http:\/\/www.apple.com\/quicktime\/download\/\"\t\tsrc=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V4slices-poster.jpg\"\t\thref=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/V4slices.mov\"\t\ttarget=\"myself\"\t\tcontroller=\"false\"\t\tautoplay=\"false\"\t\tscale=\"aspect\"><\/span>\t<\/span><br \/>\n<\/noscript><\/li>\n<li>Animation 3: the cubic threefold, seen from the outside from various angles.\u00a0 <a href=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/cubic.mov\">Hi-res version.<\/a><br \/>\n<script type=\"text\/javascript\">\/\/ <![CDATA[\n \tQT_WritePoster_XHTML('Click to Play', 'http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/cubic-poster.jpg', \t\t'http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/cubic.mov', \t\t'960', '496', '', \t\t'controller', 'true', \t\t'autoplay', 'true', \t\t'bgcolor', 'black', \t\t'scale', 'aspect');\n\/\/ ]]><\/script><br \/>\n<noscript><br \/>\n<span class=\"mceItemObject\"  width=\"960\" height=\"496\" classid=\"clsid:02BF25D5-8C17-4B23-BC80-D3488ABDDC6B\" codebase=\"http:\/\/www.apple.com\/qtactivex\/qtplugin.cab\"><br \/>\n<span  name=\"src\" value=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/cubic-poster.jpg\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"href\" value=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/cubic.mov\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"target\" value=\"myself\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"controller\" value=\"false\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"autoplay\" value=\"false\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"scale\" value=\"aspect\" class=\"mceItemParam\"><\/span>\t<span class=\"mceItemEmbed\"  width=\"960\" height=\"496\" type=\"video\/quicktime\" pluginspage=\"http:\/\/www.apple.com\/quicktime\/download\/\"\t\tsrc=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/cubic-poster.jpg\"\t\thref=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/cubic.mov\"\t\ttarget=\"myself\"\t\tcontroller=\"false\"\t\tautoplay=\"false\"\t\tscale=\"aspect\"><\/span>\t<\/span><br \/>\n<\/noscript><\/li>\n<li>Animation 4: the cubic threefold and slices through it.\u00a0 <a href=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/sidebyside.mov\">Hi-res version.<\/a> <a href=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/sidebyside-desktop.m4v\">Low-res version.<\/a><br \/>\n<script type=\"text\/javascript\">\/\/ <![CDATA[\n \tQT_WritePoster_XHTML('Click to Play', 'http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/sidebyside-poster.jpg', \t\t'http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/sidebyside.mov', \t\t'960', '496', '', \t\t'controller', 'true', \t\t'autoplay', 'true', \t\t'bgcolor', 'black', \t\t'scale', 'aspect');\n\/\/ ]]><\/script><br \/>\n<noscript><br \/>\n<span class=\"mceItemObject\"  width=\"960\" height=\"496\" classid=\"clsid:02BF25D5-8C17-4B23-BC80-D3488ABDDC6B\" codebase=\"http:\/\/www.apple.com\/qtactivex\/qtplugin.cab\"><br \/>\n<span  name=\"src\" value=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/sidebyside-poster.jpg\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"href\" value=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/sidebyside.mov\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"target\" value=\"myself\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"controller\" value=\"false\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"autoplay\" value=\"false\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"scale\" value=\"aspect\" class=\"mceItemParam\"><\/span>\t<span class=\"mceItemEmbed\"  width=\"960\" height=\"496\" type=\"video\/quicktime\" pluginspage=\"http:\/\/www.apple.com\/quicktime\/download\/\"\t\tsrc=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/sidebyside-poster.jpg\"\t\thref=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/sidebyside.mov\"\t\ttarget=\"myself\"\t\tcontroller=\"false\"\t\tautoplay=\"false\"\t\tscale=\"aspect\"><\/span>\t<\/span><br \/>\n<\/noscript><\/li>\n<li>Animation 5: breaking up a shape into simpler pieces.\u00a0 This animation shows how a surface called a <em>hyperboloid<\/em> (the curved cylinder) is made up from straight lines (shown in red).\u00a0 You can think of the hyperboloid as a &#8220;molecule&#8221;, made up from &#8220;atoms&#8221; that are the straight lines.\u00a0  <a href=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/RuledSurface.mov\">Hi-res version.<\/a> <a href=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/RuledSurface-desktop.m4v\">Low-res version.<\/a><br \/>\n<script type=\"text\/javascript\">\/\/ <![CDATA[\n \tQT_WritePoster_XHTML('Click to Play', 'http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/RuledSurface-poster.jpg', \t\t'http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/RuledSurface.mov', \t\t'960', '496', '', \t\t'controller', 'true', \t\t'autoplay', 'true', \t\t'bgcolor', 'black', \t\t'scale', 'aspect');\n\/\/ ]]><\/script><br \/>\n<noscript><br \/>\n<span class=\"mceItemObject\"  width=\"960\" height=\"496\" classid=\"clsid:02BF25D5-8C17-4B23-BC80-D3488ABDDC6B\" codebase=\"http:\/\/www.apple.com\/qtactivex\/qtplugin.cab\"><br \/>\n<span  name=\"src\" value=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/RuledSurface-poster.jpg\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"href\" value=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/RuledSurface.mov\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"target\" value=\"myself\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"controller\" value=\"false\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"autoplay\" value=\"false\" class=\"mceItemParam\"><\/span><br \/>\n<span  name=\"scale\" value=\"aspect\" class=\"mceItemParam\"><\/span>\t<span class=\"mceItemEmbed\"  width=\"960\" height=\"496\" type=\"video\/quicktime\" pluginspage=\"http:\/\/www.apple.com\/quicktime\/download\/\"\t\tsrc=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/RuledSurface-poster.jpg\"\t\thref=\"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/wp-content\/uploads\/2011\/02\/RuledSurface.mov\"\t\ttarget=\"myself\"\t\tcontroller=\"false\"\t\tautoplay=\"false\"\t\tscale=\"aspect\"><\/span>\t<\/span><br \/>\n<\/noscript><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Below are animations showing some of the shapes that we have analyzed in our project so far.\u00a0 Please email me if you need higher or lower resolution versions.\u00a0 An explanation of what the animations show is here. Animation 1: slices of the Fano variety seen from several different angles.\u00a0 Hi-res version. Low-res version. Animation 2: [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-5267","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/5267","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5267"}],"version-history":[{"count":11,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/5267\/revisions"}],"predecessor-version":[{"id":5282,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=\/wp\/v2\/posts\/5267\/revisions\/5282"}],"wp:attachment":[{"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5267"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5267"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/fanosearch\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5267"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}