MathMagic Mathematical Magic When Math meet Magic, can you work it out? 11121762 Chen Tianyu...

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!