MathMagic Mathematical Magic When Math meet Magic, can you work it out? Chen Tianyu Liu Sheng Lin Zhixia Huang Renteng

Introduction Math+Magic=? 27 card thick. Talking jokers. The voice controlled path mystery. Math+Magic=? Math+Magician=?

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 After the 1 st round, a th->b th. After the 2 nd round, b th->c th. … +9 Put in middle. +9 Put in bottom. +9

Middle, bottom, middle. Explanation 3^3=27,so this equals to 1. Bottom, top, bottom.

Ternary( 三进制 ). Explanation 12345… … 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 Joker 1 Joker 2 x th y th m n First we should remember the number : x & y 0<x<18,18<y<36

Explanation m th card, you guys have seen what is the number and the patterm of it m 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 1 Joker 2 n m y-m th 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 1 Joker 2 n m n th m+n th

Just an arithmetical thing! Explanation

The voice controlled path mystery.

Thank you!