{"id":1583,"date":"2015-11-23T20:00:15","date_gmt":"2015-11-24T02:00:15","guid":{"rendered":"http:\/\/blogs.ams.org\/blogonmathblogs\/?p=1583"},"modified":"2015-11-24T08:48:14","modified_gmt":"2015-11-24T14:48:14","slug":"dinner-table-math","status":"publish","type":"post","link":"https:\/\/blogs.ams.org\/blogonmathblogs\/2015\/11\/23\/dinner-table-math\/","title":{"rendered":"How Math Can Help You Avoid Talking about Politics at the Holidays"},"content":{"rendered":"<div id=\"attachment_1585\" style=\"width: 300px\" class=\"wp-caption alignright\"><a href=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2015\/11\/hand-turkey.png\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-1585\" class=\"size-medium wp-image-1585\" src=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2015\/11\/hand-turkey.png?resize=290%2C300\" alt=\"Another fun family activity is to make hand turkeys and fill them with the theorems you're most thankful for. Image: Evelyn Lamb\" width=\"290\" height=\"300\" srcset=\"https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2015\/11\/hand-turkey.png?resize=290%2C300&amp;ssl=1 290w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2015\/11\/hand-turkey.png?resize=990%2C1024&amp;ssl=1 990w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2015\/11\/hand-turkey.png?w=1280 1280w, https:\/\/i0.wp.com\/blogs.ams.org\/blogonmathblogs\/files\/2015\/11\/hand-turkey.png?w=1920 1920w\" sizes=\"auto, (max-width: 290px) 100vw, 290px\" \/><\/a><p id=\"caption-attachment-1585\" class=\"wp-caption-text\">A fun family Thanksgiving activity is to make hand turkeys and fill them with the theorems you&#8217;re most thankful for. Image: Evelyn Lamb.<\/p><\/div>\n<p class=\"p1\"><span class=\"s1\">Happy Thanksgiving! I\u2019m sure your wonderful family is the exception, but sometimes holiday dinner conversations can veer into unpleasant territory. If you don&#8217;t have <a href=\"http:\/\/mashable.com\/2015\/11\/22\/snl-adele-hello-thanksgiving\/#GUHKKVlgUsqq\">Adele to bail you out<\/a>, math blogs are here to help.\u00a0(When your only tool is a math blog, every problem looks like\u2026well, whatever a math blog can solve.) If you need a conversation topic for a group of turkey-bloated people with a diverse range of opinions about politics, religion, and morality, here are some suggestions from the math blogosphere.<\/span><\/p>\n<p class=\"p1\"><span class=\"s2\"><a href=\"http:\/\/fivethirtyeight.com\/features\/heres-what-your-part-of-america-eats-on-thanksgiving\/\">What your part of America eats for Thanksgiving<\/a><\/span><span class=\"s1\">, courtesy of FiveThirtyEight. There\u2019s nothing more satisfying than talking about food as you devour it. Green beans or squash? Canned cranberry sauce or whole berry? Are Thanksgiving cherry pie eaters totally depraved or just slightly misguided?<\/span><\/p>\n<p class=\"p1\"><span class=\"s1\">With a few diagrams scratched into the mashed potatoes, anyone can appreciate this elegant\u00a0<a href=\"http:\/\/www.newyorker.com\/tech\/elements\/einsteins-first-proof-pythagorean-theorem\"><span class=\"s2\">proof of the Pythagorean theorem attributed to Albert Einstein<\/span><\/a>.<\/span><\/p>\n<p class=\"p1\"><span class=\"s2\"><a href=\"http:\/\/blog.tanyakhovanova.com\/\">Tanya Khovanova\u2019s math blog<\/a><\/span><span class=\"s1\"> is rife with fun puzzles, but my favorite at the moment is this one: <a href=\"http:\/\/blog.tanyakhovanova.com\/2015\/11\/how-many-letters\/\"><span class=\"s2\">How many letters are there in the correct answer to this question?<\/span><\/a>\u00a0<\/span><\/p>\n<p class=\"p1\">Likewise, <a href=\"http:\/\/mathmunch.org\/\">Math Munch<\/a>\u00a0has lots of fun topics and activities to look into. <a href=\"http:\/\/mathmunch.org\/2015\/09\/19\/hypernom-euclid-the-game-and-math-quilts\/\">Hypernom<\/a> seems especially appropriate for this particular holiday.<\/p>\n<p class=\"p1\">How many <a href=\"http:\/\/blogs.ams.org\/blogonmathblogs\/2015\/09\/07\/theres-something-about-pentagons\/\">pentagonal tilings<\/a> can you make with turkey bones and orphaned green beans after dinner?<\/p>\n<p class=\"p1\">Mathematicians have proved that <a href=\"http:\/\/www.theguardian.com\/science\/alexs-adventures-in-numberland\/2015\/oct\/29\/mathematicians-prove-the-triviality-of-english\">English is trivial<\/a>. In that article, Alex Bellos gives &#8220;aisle&#8221; and &#8220;isle&#8221; as an example. They are homophones, so we can do a little algebra to show aisle=isle, which means a=1. In fact, we can find homophones to reduce every letter of the alphabet to 1.\u00a0Can you prove it around the dinner table? As a bonus, try to prove it for other languages represented around your table.<\/p>\n<p class=\"p1\"><span class=\"s2\"><a href=\"http:\/\/www.apple.com\">The Erd\u0151s discrepancy conjecture<\/a><\/span><span class=\"s1\">, one of the many (fairly) easy to state but hard to prove conjectures about <a href=\"http:\/\/www.johndcook.com\/blog\/2009\/09\/09\/gilbreath-conjecture\/\"><span class=\"s2\">sequences of integers<\/span><\/a>, was recently proven. <a href=\"https:\/\/www.youtube.com\/watch?v=JD_eNtNTQvk\"><span class=\"s2\">Everyone likes numbers<\/span><\/a>, so you can definitely get people talking about these conjectures and maybe even make some <a href=\"https:\/\/xkcd.com\/710\/\"><span class=\"s2\">progress at the Collatz conjecture<\/span><\/a>.<\/span><\/p>\n<p class=\"p1\"><span class=\"s2\"><a href=\"http:\/\/blogs.ams.org\/blogonmathblogs\/2015\/11\/16\/meanwhile-over-in-computer-science\/\">Graph isomorphism!<\/a><\/span><span class=\"s1\"> Those feisty computer scientists are at it again, whittling down the known complexity of NP-intermediate problems. You can get the whole family involved in this one: draw some graphs with leftover cranberries and green beans and see if they\u2019re isomorphic. Were you able to do it in polynomial time?<\/span><\/p>\n<p class=\"p1\"><span class=\"s2\"><a href=\"http:\/\/blogs.scientificamerican.com\/roots-of-unity\/what-is-the-funniest-number\/\">What is the funniest number?<\/a><\/span><span class=\"s1\"> Do you agree with\u00a0<em>Catch-[insert funny number]<\/em> author Joseph Heller and his agent?<\/span><\/p>\n<p class=\"p1\"><span class=\"s2\"><a href=\"http:\/\/blogs.scientificamerican.com\/roots-of-unity\/math-on-the-run\/\">If you did an average of a 15:00 mile over the course of the race, is there a mile you traveled in exactly 15:00<\/a><\/span><span class=\"s1\">? Get thee to a turkey trot for some real-world experiments!<\/span><\/p>\n<p class=\"p1\"><a href=\"http:\/\/www.nature.com\/news\/the-biggest-mystery-in-mathematics-shinichi-mochizuki-and-the-impenetrable-proof-1.18509\"><span class=\"s2\">What&#8217;s up with Shinichi Mochizuki&#8217;s proof of the abc conjecture<\/span><\/a><span class=\"s1\"><a href=\"http:\/\/www.nature.com\/news\/the-biggest-mystery-in-mathematics-shinichi-mochizuki-and-the-impenetrable-proof-1.18509\">?<\/a> And what does the saga say about the sociology of mathematics? For that one, you might need to brush up on what exactly the abc conjecture is. Luckily, <a href=\"https:\/\/www.youtube.com\/watch?v=RkBl7WKzzRw\"><span class=\"s2\">Numberphile has you covered<\/span><\/a>.<br \/>\n<\/span><\/p>\n<p class=\"p1\"><a href=\"http:\/\/klotza.blogspot.com\/2015\/11\/the-sophomores-spindle-all-about.html\">Can you wrap your mind around the function x<sup>x<\/sup><\/a>?<\/p>\n<p class=\"p1\"><span class=\"s1\">If you want to stir the pot but prefer to avoid politics, Is <a href=\"http:\/\/blogs.scientificamerican.com\/roots-of-unity\/teaching-the-controversy-is-5-3-five-3s-or-three-5s\/\"><span class=\"s2\">5&#215;3 five threes or three fives, and does it matter<\/span><\/a>?<\/span><\/p>\n<p class=\"p1\"><span class=\"s1\">If all else fails, you can always gather the family around the computer screen, watch <a href=\"http:\/\/blogs.scientificamerican.com\/roots-of-unity\/a-mathematical-thanksgiving-celebration\/\"><span class=\"s2\">Vi Hart\u2019s mathematical Thanksgiving celebration<\/span><\/a>, and lament the fact that you made a green bean casserole rather than a green bean matherole.<\/span><\/p>\n<p class=\"p1\">However you celebrate or don&#8217;t, I hope you\u00a0have a peaceful\u00a0holiday.<\/p>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>","protected":false},"excerpt":{"rendered":"<p>Happy Thanksgiving! I\u2019m sure your wonderful family is the exception, but sometimes holiday dinner conversations can veer into unpleasant territory. If you don&#8217;t have Adele to bail you out, math blogs are here to help.\u00a0(When your only tool is a &hellip; <a href=\"https:\/\/blogs.ams.org\/blogonmathblogs\/2015\/11\/23\/dinner-table-math\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" data-url=https:\/\/blogs.ams.org\/blogonmathblogs\/2015\/11\/23\/dinner-table-math\/><\/div>\n","protected":false},"author":61,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[35],"tags":[499,498,500,84,83],"class_list":["post-1583","post","type-post","status-publish","format-standard","hentry","category-events","tag-holiday-math","tag-holidays","tag-linkfest","tag-math","tag-mathematics"],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3tW3N-px","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/posts\/1583","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/users\/61"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/comments?post=1583"}],"version-history":[{"count":7,"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/posts\/1583\/revisions"}],"predecessor-version":[{"id":1591,"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/posts\/1583\/revisions\/1591"}],"wp:attachment":[{"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/media?parent=1583"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/categories?post=1583"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ams.org\/blogonmathblogs\/wp-json\/wp\/v2\/tags?post=1583"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}