first step is to find six different square numbers that sum to
1 + 4 + 25 + 36 + 49 + 81 = 196;
1 + 4 + 9 + 25 + 36
+ 121 = 196;
1 + 9 + 16 + 25 + 64 + 81 = 196.
The rest calls for individual judgment and ingenuity, and no definite
rules can be given for procedure.
The annexed diagrams will show
solutions for the first two cases stated.
Of course the three pieces
marked A and those marked B will fit together and form a square in each
The assembling of the parts may be slightly varied, and the
reader may be interested in finding a solution for the third set of
squares I have given.