{"id":28965,"date":"2016-05-18T12:13:42","date_gmt":"2016-05-18T17:13:42","guid":{"rendered":"http:\/\/blogs.ams.org\/mathgradblog\/?p=28965"},"modified":"2016-05-16T11:50:06","modified_gmt":"2016-05-16T16:50:06","slug":"tuppers-self-referential-formula","status":"publish","type":"post","link":"https:\/\/blogs.ams.org\/mathgradblog\/2016\/05\/18\/tuppers-self-referential-formula\/","title":{"rendered":"Tupper\u2019s Self-Referential Formula"},"content":{"rendered":"

Thanks to Nelly Cheboi for bringing this formula, and all the\u00a0accompanying\u00a0links, to our attention.<\/em><\/p>\n

In his humorous\u00a02015 Numberphile video<\/a>,\u00a0Matt Parker discusses a remarkable formula by Jeff Tupper of the University of Toronto whose graph is the letters, numbers, and symbols in the formula itself. \u00a0More precisely, this formula:<\/p>\n

\"eq.1(1)\"<\/a>produces this graph:<\/p>\n

\"Screenshot<\/a><\/p>\n

To find out how it’s done, check out Parker’s video<\/a>, plus\u00a0this background explanation and generalization\u00a0by Shreevatsa R<\/a>. You can use Tupper’s formula to plot your own name (or anything else you like) using this Python code <\/a>provided by Kaito Einstein.<\/p>\n

(image courtesy of\u00a0Weisstein, Eric W.<\/a> “Tupper’s Self-Referential Formula.” From MathWorld<\/i><\/a>–A Wolfram Web Resource. http:\/\/mathworld.wolfram.com\/TuppersSelf-ReferentialFormula.html<\/a>)<\/p>\n

 <\/p>\n

<\/div>","protected":false},"excerpt":{"rendered":"

Thanks to Nelly Cheboi for bringing this formula, and all the\u00a0accompanying\u00a0links, to our attention. In his humorous\u00a02015 Numberphile video,\u00a0Matt Parker discusses a remarkable formula by Jeff Tupper of the University of Toronto whose graph is the letters, numbers, and symbols … Continue reading →<\/span><\/a><\/p>\n

<\/div>\n","protected":false},"author":93,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[12,13],"tags":[229,181,231,230],"class_list":["post-28965","post","type-post","status-publish","format-standard","hentry","category-math","category-math-games","tag-math-oddities","tag-puzzles","tag-self-replicating-formula","tag-trivia"],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3gbww-7xb","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/posts\/28965","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/users\/93"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/comments?post=28965"}],"version-history":[{"count":1,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/posts\/28965\/revisions"}],"predecessor-version":[{"id":28968,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/posts\/28965\/revisions\/28968"}],"wp:attachment":[{"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/media?parent=28965"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/categories?post=28965"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ams.org\/mathgradblog\/wp-json\/wp\/v2\/tags?post=28965"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}