The pieces fit
together as in Diagram 1, Diagrams 2 and 3 showing how the two original
squares are to be cut.
It will be seen that the pieces A and C have
each twenty chequers, and are therefore of equal area.
Diagram 4 (built
up with the dissected square No. 5) solves the puzzle, except for the
small condition contained in the words, "I cut the two
squares in the manner desired."
In this case the smaller square is
Still I give it as an illustration of a feature of
the puzzle. It is impossible in a problem of this kind to give a quarter-turn
to any of the pieces if the pattern is to properly match, but (as in
the case of F, in Diagram 4) we may give a symmetrical piece a half-turn—that
is, turn it upside down.
Whether or not a piece may be given a
quarter-turn, a half-turn, or no turn at all in these chequered
problems, depends on the character of the design, on the material
employed, and also on the form of the piece itself.