{"id":871881,"date":"2026-10-05T18:32:12","date_gmt":"2026-10-05T18:32:12","guid":{"rendered":"https:\/\/www.newsbeep.com\/us\/871881\/"},"modified":"2026-10-05T18:32:12","modified_gmt":"2026-10-05T18:32:12","slug":"hofstadters-butterfly-turns-50-a-fractal-hiding-in-quantum-matter-physics-world","status":"publish","type":"post","link":"https:\/\/www.newsbeep.com\/us\/871881\/","title":{"rendered":"Hofstadter\u2019s butterfly turns 50: a fractal hiding in quantum matter \u2013 Physics World"},"content":{"rendered":"<p>\tHofstadter\u2019s butterfly turns 50: a fractal hiding in quantum matter \u2013 Physics World<\/p>\n<p>    <a class=\"link__skip-to-content\" href=\"#main-content\">Skip to main content<\/a><\/p>\n<p>\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/physicsworld.com\/wp-content\/uploads\/2025\/09\/category-icon-condensed-matter-orange.svg\" alt=\"Condensed matter\" loading=\"lazy\"\/><\/p>\n<p>\n\t\tDiscover more from Physics World\n<\/p>\n<p>Copyright \u00a9 2026 by IOP Publishing Ltd and individual contributors<\/p>\n","protected":false},"excerpt":{"rendered":"Hofstadter\u2019s butterfly turns 50: a fractal hiding in quantum matter \u2013 Physics World Skip to main content Discover&hellip;\n","protected":false},"author":2,"featured_media":871882,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[49],"tags":[199,79],"class_list":["post-871881","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-physics","tag-science"],"_links":{"self":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/posts\/871881","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/comments?post=871881"}],"version-history":[{"count":0,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/posts\/871881\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/media\/871882"}],"wp:attachment":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/media?parent=871881"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/categories?post=871881"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/tags?post=871881"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}