<s>
The	O
Siamese	B-Algorithm
method	I-Algorithm
,	O
or	O
De	B-Algorithm
la	I-Algorithm
Loubère	I-Algorithm
method	I-Algorithm
,	O
is	O
a	O
simple	O
method	O
to	O
construct	O
any	O
size	O
of	O
n-odd	O
magic	O
squares	O
(	O
i.e.	O
</s>
<s>
The	O
Siamese	B-Algorithm
method	I-Algorithm
makes	O
the	O
creation	O
of	O
magic	O
squares	O
straightforward	O
.	O
</s>
<s>
The	O
Siamese	B-Algorithm
method	I-Algorithm
does	O
not	O
work	O
however	O
for	O
n-even	O
squares	O
(	O
"	O
even-order	O
squares	O
"	O
,	O
such	O
as	O
2	O
rows/	O
2	O
columns	O
,	O
4	O
rows/	O
4	O
columns	O
etc	O
...	O
)	O
.	O
</s>
<s>
For	O
example	O
the	O
following	O
sequence	O
can	O
be	O
used	O
to	O
form	O
an	O
order	O
3	O
magic	O
square	O
according	O
to	O
the	O
Siamese	B-Algorithm
method	I-Algorithm
(	O
9	O
boxes	O
)	O
:	O
5	O
,	O
10	O
,	O
15	O
,	O
20	O
,	O
25	O
,	O
30	O
,	O
35	O
,	O
40	O
,	O
45	O
(	O
the	O
magic	O
sum	O
gives	O
75	O
,	O
for	O
all	O
rows	O
,	O
columns	O
and	O
diagonals	O
)	O
.	O
</s>
<s>
Numerous	O
other	O
magic	O
squares	O
can	O
be	O
deduced	O
from	O
the	O
above	O
by	O
simple	O
rotations	O
and	O
reflections	B-Algorithm
.	O
</s>
<s>
Numerous	O
variants	O
can	O
be	O
obtained	O
by	O
simple	O
rotations	O
and	O
reflections	B-Algorithm
.	O
</s>
<s>
These	O
variations	O
,	O
although	O
not	O
quite	O
as	O
simple	O
as	O
the	O
basic	O
Siamese	B-Algorithm
method	I-Algorithm
,	O
are	O
equivalent	O
to	O
the	O
methods	O
developed	O
by	O
earlier	O
Arab	O
and	O
European	O
scholars	O
,	O
such	O
as	O
Manuel	O
Moschopoulos	O
(	O
1315	O
)	O
,	O
Johann	O
Faulhaber	O
(	O
15801635	O
)	O
and	O
Claude	O
Gaspard	O
Bachet	O
de	O
Méziriac	O
(	O
15811638	O
)	O
,	O
and	O
allowed	O
to	O
create	O
magic	O
squares	O
similar	O
to	O
theirs	O
.	O
</s>
