{"id":27702,"date":"2021-05-10T21:45:51","date_gmt":"2021-05-11T01:45:51","guid":{"rendered":"https:\/\/blog.carlrobitaille.org\/?p=27702"},"modified":"2021-05-10T21:45:55","modified_gmt":"2021-05-11T01:45:55","slug":"david-hilbert-knew-that-every-smooth-cubic-surface-a-twisty-shape-defined-by-third-degree-polynomials-contains-exactly-27-straight-lines","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=27702","title":{"rendered":"David Hilbert knew that every smooth cubic surface \u2014 a twisty shape defined by third-degree polynomials \u2014 contains exactly 27 straight lines"},"content":{"rendered":"\n<figure class=\"wp-block-embed is-type-rich is-provider-twitter wp-block-embed-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">David Hilbert knew that every smooth cubic surface \u2014 a twisty shape defined by third-degree polynomials \u2014 contains exactly 27 straight lines. Hilbert used those lines to construct a simple formula for the roots of any 9th degree polynomial in one variable. <a href=\"https:\/\/t.co\/J7YYWsLftn\">https:\/\/t.co\/J7YYWsLftn<\/a> <a href=\"https:\/\/t.co\/jwrczOKuAO\">pic.twitter.com\/jwrczOKuAO<\/a><\/p>&mdash; Quanta Magazine (@QuantaMagazine) <a href=\"https:\/\/twitter.com\/QuantaMagazine\/status\/1388199014458433537?ref_src=twsrc%5Etfw\">April 30, 2021<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9,19],"tags":[],"class_list":["post-27702","post","type-post","status-publish","format-standard","hentry","category-histoire","category-mathematiques"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/27702","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=27702"}],"version-history":[{"count":1,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/27702\/revisions"}],"predecessor-version":[{"id":27703,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/27702\/revisions\/27703"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=27702"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=27702"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=27702"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}