{"id":13958,"date":"2025-08-04T13:02:54","date_gmt":"2025-08-04T13:02:54","guid":{"rendered":"https:\/\/naijaglobalnews.org\/?p=13958"},"modified":"2025-08-04T13:02:54","modified_gmt":"2025-08-04T13:02:54","slug":"can-you-solve-it-ambigrams-you-wont-believe-these-flipping-words-mathematics","status":"publish","type":"post","link":"https:\/\/naijaglobalnews.org\/?p=13958","title":{"rendered":"Can you solve it? Ambigrams \u2013 you won\u2019t believe these flipping words! | Mathematics"},"content":{"rendered":"<p>\n<\/p>\n<p class=\"dcr-16w5gq9\">Douglas Hofstadter is probably best known as the author of <em>G\u00f6del, Escher Bach<\/em>, a classic of popular science writing published in 1979.<\/p>\n<p class=\"dcr-16w5gq9\">In 1983, he coined the word \u201cambigram\u201d, meaning a piece of text that can be read in more than one way, an art form pioneered in the 1970s by the typographers Scott Kim and John Langdon. Typically, an ambigram is a word or phrase that has left-right mirror symmetry, or reads the same upside down.<\/p>\n<p class=\"dcr-16w5gq9\">Hofstadter, aged 80, is professor of cognitive science and comparative literature at Indiana University, and has produced thousands of ambigrams over the decades. Here\u2019s one that is pleasingly self-referential, taken from his latest book, <em>Ambigrammia<\/em>. It has a vertical line of symmetry through the \u201cg\u201d, which means you can read it left to right, and also in a mirror. The \u2018ambi\u2019 when reflected reads \u2018rams\u2019.<\/p>\n<p><span class=\"dcr-1inf02i\"><\/span> Illustration: Douglas Hofstadter<\/p>\n<p class=\"dcr-16w5gq9\">Here\u2019s another one, geographically appropriate, that has 180 degree rotational symmetry. (It reads the same upside down.)<\/p>\n<p><span class=\"dcr-1inf02i\"><\/span> Illustration: Douglas Hofstadter<\/p>\n<p class=\"dcr-16w5gq9\">Isn\u2019t it clever? The dots underneath the \u201cr\u201d and the \u201ct\u201d do not distract from the letters, but when upside down are clearly the dots on two \u201ci\u201ds.<\/p>\n<p class=\"dcr-16w5gq9\">Hofstadter describes each ambigram as a \u201cpocket-sized creativity puzzle.\u201d So I thought they would make a perfect challenge for this column.<\/p>\n<p class=\"dcr-16w5gq9\"><strong>Flipping words<\/strong><\/p>\n<p class=\"dcr-16w5gq9\">Design an ambigram for the following words:<\/p>\n<p class=\"dcr-16w5gq9\">1. DAVE<\/p>\n<p class=\"dcr-16w5gq9\">2. OHIO<\/p>\n<p class=\"dcr-16w5gq9\">3. UTAH<\/p>\n<p class=\"dcr-16w5gq9\">4. RED<\/p>\n<p class=\"dcr-16w5gq9\">5. <em>Your own name<\/em><\/p>\n<p class=\"dcr-16w5gq9\">The aim in an ambigram is legibility. You want the word to be as readable as possible. Usually an ambigram has perfect symmetry (mirror or rotational) as in the the two examples above, but not always, as in \u2018GREEN\u2019 in the top image.<\/p>\n<p class=\"dcr-16w5gq9\">You can use upper case, lower case, or a mixture of the two. You will need to experiment at first. How much you can tweak a letter without making it unrecognisable, and how much you can add without overwhelming the eye?<\/p>\n<p class=\"dcr-16w5gq9\">With DAVE, the A and the V are (almost) inversions of each other. Harder is to see how to make an E into an upside down D.<\/p>\n<p class=\"dcr-16w5gq9\">I\u2019ll be back at 5pm UK with Hofstadter\u2019s designs for 1 to 5. If you would like me to feature your designs of your names in that post, please either <em>email me <\/em>or tag me on Twitter or Bluesky.<\/p>\n<p class=\"dcr-16w5gq9\"><em>Ambigrammia by Douglas Hofstadter, with an introduction by Scott Kim, is out now on Yale University Press<\/em><\/p>\n<p class=\"dcr-16w5gq9\"><em>I\u2019ve been setting a puzzle here on alternate Mondays since 2015. I\u2019m always on the look-out for great puzzles. If you would like to suggest one, email me.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Douglas Hofstadter is probably best known as the author of G\u00f6del, Escher Bach, a classic of popular science writing published in 1979. In 1983, he coined the word \u201cambigram\u201d, meaning a piece of text that can be read in more than one way, an art form pioneered in the 1970s by the typographers Scott Kim<\/p>\n","protected":false},"author":1,"featured_media":13959,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[58],"tags":[7620,7621,2032,1649,3982,3787],"class_list":{"0":"post-13958","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-science","8":"tag-ambigrams","9":"tag-flipping","10":"tag-mathematics","11":"tag-solve","12":"tag-wont","13":"tag-words"},"_links":{"self":[{"href":"https:\/\/naijaglobalnews.org\/index.php?rest_route=\/wp\/v2\/posts\/13958","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/naijaglobalnews.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/naijaglobalnews.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/naijaglobalnews.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/naijaglobalnews.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=13958"}],"version-history":[{"count":0,"href":"https:\/\/naijaglobalnews.org\/index.php?rest_route=\/wp\/v2\/posts\/13958\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/naijaglobalnews.org\/index.php?rest_route=\/wp\/v2\/media\/13959"}],"wp:attachment":[{"href":"https:\/\/naijaglobalnews.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13958"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/naijaglobalnews.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13958"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/naijaglobalnews.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}