{"id":993,"date":"2007-03-07T01:01:36","date_gmt":"2007-03-06T23:01:36","guid":{"rendered":"http:\/\/www.randform.org\/blog\/?p=993"},"modified":"2007-03-06T21:28:56","modified_gmt":"2007-03-06T19:28:56","slug":"out-side-in-side-out","status":"publish","type":"post","link":"https:\/\/www.randform.org\/blog\/?p=993","title":{"rendered":"out side in side out"},"content":{"rendered":"<div style=\"float:left;\">\n<table style=\"float:left; width:249px;\">\n<tr><img id=\"image984\" src=\"http:\/\/www.randform.org\/blog\/wp-content\/2007\/03\/4sphere2.jpg\" alt=\"4sphere2.jpg\" \/><\/tr>\n<tr><img id=\"image983\" src=\"http:\/\/www.randform.org\/blog\/wp-content\/2007\/03\/4sphere.jpg\" alt=\"4sphere.jpg\" \/><\/tr>\n<\/table>\n<\/div>\n<p><img id=\"image992\" src=\"http:\/\/www.randform.org\/blog\/wp-content\/2007\/03\/jonglieren2.gif\" alt=\"jonglieren2.gif\" \/><\/p>\n<p><!--more--><\/p>\n<p>a personal remark: Since last autumn it was planned that I should teach an intensive class in calculus 3 at the TU Berlin. This was supposed to take place Jan\/Feb; then the class was put off to Feb\/Mar and finally I got an email about two weeks ago that the class should probably start the day before yesterday i.e. march 5. However on saturday march 3, I received a surprising email notifying me that the class will now be done by someone from the permanent faculty. Wow.<\/p>\n<p>Well anyways since I was stupid enough to keep adjusting  my plans in order to be able to give the class it now suddenly seems I have unexpected time for all sorts of things. This is a positive thing.<\/p>\n<p>I.e. if a new job search doesn&#8217;t take up too much time then it seems I maybe can take back my earlier announcement about <a href=\"http:\/\/www.randform.org\/blog\/?p=857 \">slow blogging<\/a> plus I may now have even time for some projects or for going to museums or for playing around, like e.g. I could try to juggle (never done before) with these interesting inside-out spheres, which are almost a kind of 3D <a href=\"http:\/\/www.randform.org\/blog\/?p=27\">Moir\u00e9<\/a> (more on 3D Moir\u00e9 may be later). If one throws a spheres and gives it a rotation then the sphere expands due to the  <a href=\"http:\/\/en.wikipedia.org\/wiki\/Centrifugal_force\">Centrifugal force<\/a> and turns its outside in and its inside out.<\/p>\n<p><img id=\"image991\" src=\"http:\/\/www.randform.org\/blog\/wp-content\/2007\/03\/sternsphere.JPG\" alt=\"sternsphere.JPG\" \/><\/p>\n<p><img id=\"image986\" src=\"http:\/\/www.randform.org\/blog\/wp-content\/2007\/03\/85sphere1.JPG\" alt=\"85sphere1.JPG\" style=\"padding-right:5px;\"\/><img id=\"image987\" src=\"http:\/\/www.randform.org\/blog\/wp-content\/2007\/03\/85sphere2.JPG\" alt=\"85sphere2.JPG\" style=\"padding-right:6px;\"\/><img id=\"image988\" src=\"http:\/\/www.randform.org\/blog\/wp-content\/2007\/03\/85sphere3.JPG\" alt=\"85sphere3.JPG\" style=\"padding-right:6px;\" \/><img id=\"image989\" src=\"http:\/\/www.randform.org\/blog\/wp-content\/2007\/03\/85sphere4.JPG\" alt=\"85sphere4.JPG\" style=\"padding-right:6px;\"\/><img id=\"image990\" src=\"http:\/\/www.randform.org\/blog\/wp-content\/2007\/03\/85sphere5.JPG\" alt=\"85sphere5.JPG\" \/><\/p>\n<p>->geometry centers famous <a href=\"http:\/\/www.geom.uiuc.edu\/docs\/outreach\/oi\/\">outside in video<\/a><br \/>\n-><a href=\"http:\/\/torus.math.uiuc.edu\/jms\/Papers\/isama\/color\/opt2.htm\">history of sphere eversions<\/a> by John Sullivan<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[13,2],"tags":[],"_links":{"self":[{"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=\/wp\/v2\/posts\/993"}],"collection":[{"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=993"}],"version-history":[{"count":0,"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=\/wp\/v2\/posts\/993\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=993"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=993"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=993"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}