Presentation on theme: "MathMagic Mathematical Magic When Math meet Magic, can you work it out? 11121762 Chen Tianyu 12122184 Liu Sheng 12122538 Lin Zhixia 13123435 Huang Renteng."— Presentation transcript:
MathMagic Mathematical Magic When Math meet Magic, can you work it out? Chen Tianyu Liu Sheng Lin Zhixia Huang Renteng
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
"name": "Explanation Joker 1 Joker 2 x th y th m n First we should remember the number : x & y 0
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