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!