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Mathematical Magic When Math meet Magic , can you work it out?. 11121762 Chen Tianyu 12122184 Liu Sheng 12122538 Lin Zhixia 13123435 Huang Renteng. Introduction. Math+Magic=?. Math+Magic=?. 1. Math+Magician=?. 2. 27 card thick. 3. Talking jokers.
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Mathematical MagicWhen Math meet Magic, can you work it out? 11121762 Chen Tianyu 12122184 Liu Sheng 12122538 Lin Zhixia 13123435 Huang Renteng
Introduction Math+Magic=? Math+Magic=? 1 Math+Magician=? 2 27 card thick. 3 Talking jokers. The voice controlled path mystery.
27 Card Trick. 1 volunteer needed!
Explanation • 27 different situations. • W.L.O.G, we assume the card is the a th card, counting from top to bottom. • The card must be the [a/3] th card of the (a mod 3) pile. • [x] means the minimal integer lager than x.
Explanation Put in middle. • After the 1st round, a th->b th. +9 • After the 2nd round, b th->c th. Put in bottom. +9 +9 • …
Explanation • Middle, bottom, middle. 3^3=27,so this equals to 1. • Bottom, top, bottom.
Explanation • Ternary(三进制). 0 stands for top, 1 stands for middle and 2 stands for bottom. It should be read in reverse (eg. 221 means middle, bottom, bottom).
Talking jokers. 2 volunteers needed!
Explanation First we should remember the number : x & y x th Joker 1 m Joker 2 y th n 0<x<18,18<y<36
Explanation m m th card, you guys have seen what is the number and the patterm of it n m+n th card, you guys have seen what is the number and the patterm of it
Explanation After we put them together, what can you find out ? Joker 2 n y-m th Joker 1 m x+n th
Explanation counting the number of y-m and x+n + we have already knew the number of x and y =the number of m and n
Explanation Counting the cards & find out the m+n th and n th card Joker 2 n n th Joker 1 m m+n th
Explanation Just an arithmetical thing!
The voice controlled path mystery. http://v.163.com/movie/2012/8/U/2/M8JHGS5KF_M8JHKKFU2.html