{"id":19136,"date":"2019-10-28T09:38:52","date_gmt":"2019-10-28T13:38:52","guid":{"rendered":"https:\/\/blog.carlrobitaille.org\/?p=19136"},"modified":"2019-10-28T09:39:02","modified_gmt":"2019-10-28T13:39:02","slug":"pythagorean-triple-via-hyperbolic-reflections","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=19136","title":{"rendered":"Pythagorean triple via hyperbolic reflections"},"content":{"rendered":"\n<figure class=\"wp-block-embed-twitter wp-block-embed is-type-rich is-provider-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">Three integers satisfying a\u00b2 + b\u00b2 = c\u00b2 form a Pythagorean triple, which can be drawn as a right triangle, or a point (a\/c, b\/c) on the unit circle.  Amazing fact: starting with the four Pythagorean triples (\u00b11,0,1), (0,\u00b11,1) all others can be generated via hyperbolic reflections. <a href=\"https:\/\/t.co\/XORBHcbM1Z\">pic.twitter.com\/XORBHcbM1Z<\/a><\/p>&mdash; Keenan Crane (@keenanisalive) <a href=\"https:\/\/twitter.com\/keenanisalive\/status\/1187683364947615744?ref_src=twsrc%5Etfw\">October 25, 2019<\/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":[19],"tags":[],"class_list":["post-19136","post","type-post","status-publish","format-standard","hentry","category-mathematiques"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/19136","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=19136"}],"version-history":[{"count":1,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/19136\/revisions"}],"predecessor-version":[{"id":19137,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/19136\/revisions\/19137"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=19136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=19136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=19136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}