Mathematical MagicWhen MathMath meet MagicMagic, can you work it out?
11121762 Chen Tianyu
12122184 Liu Sheng
12122538 Lin Zhixia
13123435 Huang Renteng
Introduction
123
Math+Magic=?
27 card thick.Talking jokers.The voice controlled path mystery.
Math+Magic=?Math+Magician=?
27 Card Trick.
1 volunteer needed!
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 1st round, a th->b th.
• After the 2nd 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
1 2 3 4 5 … 24 25 26 27000 001 002 010 011 … 212 220 221 222
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!
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.
http://v.163.com/movie/2012/8/U/2/M8JHGS5KF_M8JHKKFU2.html
Thank you!