{"id":269,"date":"2006-08-08T21:13:56","date_gmt":"2006-08-08T10:13:56","guid":{"rendered":"http:\/\/www.somethinkodd.com\/oddthinking\/2006\/08\/08\/thwarting-a-magician-in-my-sleep\/"},"modified":"2007-12-30T21:16:41","modified_gmt":"2007-12-30T11:16:41","slug":"thwarting-a-magician-in-my-sleep","status":"publish","type":"post","link":"https:\/\/www.somethinkodd.com\/oddthinking\/2006\/08\/08\/thwarting-a-magician-in-my-sleep\/","title":{"rendered":"Thwarting a magician in my sleep"},"content":{"rendered":"<p>This story is in three parts: the dream sequence, the semi-conscious analysis, and the fully alert follow-up.<\/p>\n<h3>The Dream Sequence<\/h3>\n<div class=\"aside\">This was part of a dream I had last night.<\/div>\n<p>&#8220;I will read your mind!&#8221; boasted the mentalist. &#8220;You can pick a colour, or a flower, or an element of the periodic table, write it down, show it to the audience and seal it in an envelope. Then I will read your mind and predict what it says! In fact, you could write any English word, and I will predict it.&#8221;<\/p>\n<h3>The Semi-Conscious Analysis<\/h3>\n<div class=\"aside\">This stream of thought all occurred in a jetlag-induced, still-half-in-the-dream-state haze, before I opened my eyes.<\/div>\n<p>So, how does this guy&#8217;s trick work? How could you ensure that he couldn&#8217;t bluff you?<\/p>\n<p>It could be one of those tricks where people choose apparently random things in non-random ways. You know, like the &#8220;elephant in Denmark&#8221; trick. <\/p>\n<p>I bet most people looking at a periodic table would choose one of the Actinides. Or Hydrogen. I would choose Lithium; that should be hard to predict.<\/p>\n<div class=\"aside\">Did I mention that I wasn&#8217;t exactly lucid when I was thinking this?<\/div>\n<p>Hmmm&#8230; but he would accept any English word. So he might have a trick slate, pen or envelope that allows him to see what you wrote &#8211; I would take my own pen and paper on stage if he selected me as a volunteer.<\/p>\n<div class=\"aside\">Sure! Any magician would just let you do that if it would ruin his trick! I&#8217;m worse than the naive people who want to interrupt halfway through a card trick to shuffle the deck!<\/div>\n<p>No, the most likely way this trick would work would be to have an accomplice in the audience secretly signalling what the word was.<\/p>\n<p>I know how to test this hypothesis. I would write down one word and show it to the audience, and then surreptitiously modify the word before I put it in the envelope. If he predicted the word I showed to the audience, I would suspect a stooge.<\/p>\n<p>I would need to make the change easy to make &#8211; like a single stroke of the pen. For example, you could change an &#8220;o&#8221; to an &#8220;a&#8221; with a single stroke so if I wrote &#8220;fool&#8221; and showed it to the audience, I could quickly change it to &#8220;foal&#8221; before I stashed it in the envelope.<\/p>\n<p>I need to come up with a list of simple modifications to letters.<\/p>\n<div class=\"aside\">When I was still half-asleep, this was beyond me, but now I would suggest: <\/p>\n<ol>\n<li>c&rarr;a, d or q;<\/li>\n<li>i&rarr;j;<\/li>\n<li>l&rarr;b, d, k or t;<\/li>\n<li>n&rarr;m;<\/li>\n<li>o&rarr;a, b, d, g, p, q;<\/li>\n<li>u&rarr;y;<\/li>\n<li>v&rarr;w;<\/li>\n<\/ol>\n<p>I am sure it would be possible possible to think up with twice as many mappings, especially with ingenuity with the hand-writing.\n<\/p><\/div>\n<p>But what if the stooge saw me do it? He or she might figure out that I changed it to &#8220;foal&#8221; and signal that in the message.<\/p>\n<p>So, I would need to come up with a list of words that could be changed to multiple other words through a choice of single letter modifications.<\/p>\n<p>Then the stooge couldn&#8217;t tell, all the way from the audience, which possible word I had changed it to.<\/p>\n<div class=\"aside\">Again, my conscious mind points out that the original example of I thought of &#8211;  fool&rarr;foal &#8211; fits the bill here too. I could have made the change fool&rarr;foot.<\/div>\n<p>Here&#8217;s the puzzle: which English base word could generate the most variants?<\/p>\n<h3>Fully Alert Follow-Up<\/h3>\n<p>&#8220;Cool!&#8221; I thought, when I woke up properly. &#8220;I have dreamt another puzzle. I haven&#8217;t done that since the <a href=\"http:\/\/www.somethinkodd.com\/oddthinking\/2005\/09\/21\/name-game\/\">Name Game<\/a>&#8230; oh wait. This is the same damn puzzle. The vocabulary is the English language, rather than first names. The &#8220;typos&#8221; are now unidirectional &#8220;character modifications&#8221;. But it has the same solution as the Name Game.<\/p>\n<p>Oh well.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#8220;I will read your mind!&#8221; boasted the mentalist. &#8220;You can pick a colour, or a flower, or an element of the periodic table, write it down, show it to the audience and seal it in an envelope. Then I will read your mind and predict what it says! In fact, you could write any English word, and I will predict it.&#8221;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_s2mail":"","footnotes":""},"categories":[23,33,27],"tags":[212,74,55],"class_list":["post-269","post","type-post","status-publish","format-standard","hentry","category-based-on-a-true-story","category-puzzle-solving","category-thoughts-from-the-shower","tag-dream","tag-magic","tag-puzzle"],"_links":{"self":[{"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/posts\/269","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/comments?post=269"}],"version-history":[{"count":0,"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/posts\/269\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/media?parent=269"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/categories?post=269"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.somethinkodd.com\/oddthinking\/wp-json\/wp\/v2\/tags?post=269"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}