Slide 1

Magic Square Lihui Mao

Slide 2

Slide 3

Definition a magic square is an arrangement of distinct numbers (i.e. each number is used once), usually integers, in a square grid, where the numbers in each row, and in each column, and the numbers in the forward and backward main diagonals, all add up to the same number.

Slide 4

magic constant The constant that is the sum of every row, column and diagonal is called the magic constant or magic sum

Slide 5

5 +1 0 + 1 1 + 8 = 3 4 9 + 6 + 7 + 1 2 = 3 4 4 + 15 + 14 + 1 = 3 4 34 = 1 6 + 1 0 + 7 + 1 1 3 + 1 1 + 6 + 4 = 3 4

Slide 6

magic constant The constant that is the sum of every row, column and diagonal is called the magic constant or magic sum Q!!!: Whats the formula of magic constant???

Slide 7

magic constant The constant that is the sum of every row, column and diagonal is called the magic constant or magic sum

Slide 8

How to make Magic Square by yourself ? When n is an odd order When n is a doubly even order When n is an even but bot doubly even

Slide 9

Method for constructing a magic square of odd order 1. diagonally up and to the right when you can, 2. down if you cannot. Example time

Slide 10

A method of constructing a magic square of doubly even order Double even number n= 4p (e.g. 4, 8, 12), where p is an integer. 1. Go left to right through the square counting and filling in on the diagonals only. 2. Then continue by going left to right from the top left of the table and fill in counting down from n to 1. As shown below. Example time !

Slide 11

A method of constructing a magic square of other even order

Slide 12

Slide 13

Magic Square and Cipher

Slide 14

Slide 15

SOE U ATU N CSA S VUN J JEO V ASA N CTU S UNU S

Slide 16

JeovaSanctusUnus IsaacusNeutonuus!

Slide 17

Some interesting facts you dont know Graph from Pyriamid

Slide 18

In Dan Browns the Lost Symbol, application of magic square means the transition from chaos to order. In other words, number every elements in grids with Franklins Square, and come out with the graph after ordering them, in order to make disordered graphs meaningful.

Slide 19

Slide 20

Slide 21

Slide 22

Slide 23

Reference http://www.math.hmc.edu/funfacts/ffiles/100 01.4-8.shtml http://www.math.wichita.edu/~richardson/m athematics/magic%20squares/even- ordermagicsquares.html http://www.murderousmaths.co.uk/books/bk mm1x5s.htm Wiki

Slide 24

Q&A Time

Slide 25

Thanks for watching!