Each magic sum

 

Choose a magic sum and construct a (not pure) 5x5 panmagic square, using the pattern below.

 

a

b+1

c+2

d+3

e+4

c+3

d+4

e

a+1

b+2

e+1

a+2

b+3

c+4

d

b+4

c

d+1

e+2

a+3

d+2

e+3

a+4

b

c+1

 

 

Take care that a, b, c, d and e differ minimal 5 to get always 25 different digits in the square. See for example the 5x5 panmagic square with magic sum of 999.

 

    999 999 999 999 999      
  999           999    
999   187 194 200 206 212      
999   201 207 208 188 195   999 999
999   209 189 196 202 203   999 999
999   197 198 204 210 190   999 999
999   205 211 191 193 199   999 999

 

See the table of Aridwana from Indonesia to convert names into numbers.
 

 

A

1

B

2

C

3

D

4

E

5

F

6

G

7

H

8

I

9

J

10

K

20

L

30

M

40

N

50

O

60

P

70

Q

80

R

90

S

100

T

200

U

300

V

400

W

500

X

600

Y

700

Z

800



Construct a magic square with the names of yourself and your 4 friends. I constructed a magic square of the glitter club.

 

 

Tessa = 200 + 5 + 100 + 100 + 1 = 406
Demi = 4 + 5 + 40 + 9 = 58
Anouk = 1 + 50 + 60 + 300 + 20 = 431
Laura
= 30 + 1 + 300 + 90 + 1 = 422
Michelle
= 40 +9 + 3 + 8 +5 + 30 + 30 + 5 = 130


                      
5x5 Glitter club magic square

   

Tessa

131

424

434

62

     
   

425

435

Demi

407

132

     
   

59

408

133

426

Anouk

     
   

134

Laura

432

60

409

     
   

433

61

410

Michelle

423

     
                   
                   
   

1457

1457

1457

1457

1457

     
 

1457

         

1457

   

1457

 

406

131

424

434

62

     

1457

 

425

435

58

407

132

 

1457

1457

1457

 

59

408

133

426

431

 

1457

1457

1457

 

134

422

432

60

409

 

1457

1457

1457

 

433

61

410

130

423

 

1457

1457

 

 

Download
5x5, Each magic sum.xls
Microsoft Excel werkblad 37.5 KB
Download
5x5, Names & numbers magic square.xls
Microsoft Excel werkblad 46.0 KB