{"id":3514,"date":"2023-11-20T18:19:21","date_gmt":"2023-11-20T23:19:21","guid":{"rendered":"https:\/\/sites.williams.edu\/Morgan\/?page_id=3514"},"modified":"2023-11-20T18:19:21","modified_gmt":"2023-11-20T23:19:21","slug":"the-ideal-tv","status":"publish","type":"page","link":"https:\/\/sites.williams.edu\/Morgan\/math-chat-archives\/the-ideal-tv\/","title":{"rendered":"The Ideal TV"},"content":{"rendered":"<p>November 1, 2001<\/p>\n<p>&nbsp;<\/p>\n<p><b>Old Challenge<\/b>. What is the ideal size and shape for a TV set?<\/p>\n<p><b>Answer<\/b>. In his winning answer, Joseph Fine says that the ideal shape for a TV set would be a virtual spherical surface similar to the inside of a planetarium. The ideal may already have been implemented as a direct retinal projection TV in which images project directly into the eye, with no screen at all. See\u00a0<a href=\"http:\/\/www.hitl.washington.edu\/publications\/p-95-1\/\">http:\/\/www.hitl.washington.edu\/publications\/p-95-1\/<\/a><\/p>\n<p>QUESTIONABLE MATHEMATICS. Joshua Green noticed a Burger King sale:<\/p>\n<p style=\"padding-left: 40px\">Cheeseburger: $.49<br \/>\nDouble Cheeseburger: $.99<br \/>\nTriple Cheeseburger: $1.49<\/p>\n<p>He wonders &#8220;why two cheeseburgers are cheaper than one double cheeseburger, and three cheeseburgers are cheaper than one triplecheeseburger, when the individual burgers have more bun but the same amount of meat?&#8221;<\/p>\n<p>Readers are invited to submit more examples of questionable mathematics.<\/p>\n<p><b>New Challenge<\/b>. Is there any valid explanation for the above cheeseburger sale?<\/p>\n<p>&nbsp;<\/p>\n<p>Copyright 2001, Frank Morgan.<\/p>\n<hr \/>\n<p>Send answers, comments, and new questions by email to\u00a0<a href=\"mailto:Frank.Morgan@williams.edu\">Frank.Morgan@williams.edu,<\/a>\u00a0to be eligible for<i>\u00a0Flatland\u00a0<\/i>and other book awards. Winning answers will appear in the next Math Chat. Math Chat appears on the first and third Thursdays of each month. Prof. Morgan&#8217;s homepage is at\u00a0<a href=\"http:\/\/www.williams.edu\/Mathematics\/fmorgan\">www.williams.edu\/Mathematics\/fmorgan.<\/a><\/p>\n<p><a href=\"http:\/\/www.maa.org\/pubs\/books\/mch.html\">THE MATH CHAT BOOK,<\/a>\u00a0including a $1000 Math Chat Book\u00a0<a href=\"http:\/\/www.maa.org\/pubs\/books\/quest.html\">QUEST,\u00a0<\/a>questions and answers, and a list of past challenge winners, is now available from the MAA (800-331-1622).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>November 1, 2001 &nbsp; Old Challenge. What is the ideal size and shape for a TV set? Answer. In his winning answer, Joseph Fine says that the ideal shape for a TV set would be a virtual spherical surface similar to the inside of a planetarium. The ideal may already have been implemented as a [&hellip;]<\/p>\n","protected":false},"author":2965,"featured_media":0,"parent":3459,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-3514","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/pages\/3514","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/users\/2965"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/comments?post=3514"}],"version-history":[{"count":1,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/pages\/3514\/revisions"}],"predecessor-version":[{"id":3515,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/pages\/3514\/revisions\/3515"}],"up":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/pages\/3459"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/media?parent=3514"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}