Discussion
Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
- A.
- B.
- C.
- D.
Answer: C
The set that forms the square with one round hole is (C).
In set (C) each of the three pieces carries one curved notch, and each notch sits at the inner end of the edges along which the pieces meet. When the pieces are fitted together with their straight outer edges forming the sides of the square, the three notches come together near the centre and close into a single round hole.
Set (D) has no curved edges at all, so it cannot make a round hole. In set (A) the middle piece has no notch and the notch on the large piece sits on its outer slope beside the peak, so the curved edges cannot meet in one circle near the centre. In set (B) the middle piece of the other sets is replaced by a four-sided piece of a different outline, so the edges do not match and the pieces cannot close into a square around one hole.
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