{"id":1198,"date":"2007-05-24T22:27:53","date_gmt":"2007-05-24T20:27:53","guid":{"rendered":"http:\/\/www.randform.org\/blog\/?p=1198"},"modified":"2007-05-24T22:27:53","modified_gmt":"2007-05-24T20:27:53","slug":"bellows-conjecture","status":"publish","type":"post","link":"https:\/\/www.randform.org\/blog\/?p=1198","title":{"rendered":"bellows conjecture"},"content":{"rendered":"<p><img id=\"image1199\" src=\"http:\/\/www.randform.org\/blog\/wp-content\/2007\/05\/Akordeonbalg.jpg\" alt=\"Akordeonbalg.jpg\" \/><\/p>\n<div style=\"font-size:80%;\">image source wikipedia: <a href=\"http:\/\/de.wikipedia.org\/wiki\/Blasebalg\">unfinished Accordion bellows<\/a><\/div>\n<p>A remarkable mathematical conjecture (proven 1995 by Sabitov) is that there exists no rigid bellows. This means if you have a closed volume which is formed by (triangle shaped) &#8220;plates&#8221; and if you deform it then the volume stays always constant (i.e. if it would have been a bellows then you couldnt press air out of it). This is why accordions need some elastic fabric in order to allow for deformation. May be also a useful knowledge for architecture, since it means that if you press a (closed) house on one side it would bulb on some other side.<\/p>\n<p>The workshop <a href=\"http:\/\/aimath.org\/ARCC\/workshops\/polyhedralcomb.html\">Rigidity and polyhedral combinatorics<\/a> is discussing related problems.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>image source wikipedia: unfinished Accordion bellows A remarkable mathematical conjecture (proven 1995 by Sabitov) is that there exists no rigid bellows. This means if you have a closed volume which is formed by (triangle shaped) &#8220;plates&#8221; and if you deform it then the volume stays always constant (i.e. if it would have been a bellows [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[3,16,4,2,18,1],"tags":[],"_links":{"self":[{"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1198"}],"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=1198"}],"version-history":[{"count":0,"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1198\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1198"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1198"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.randform.org\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}