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 a minimum of 5 to always get 25 different numbers 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 |
