2.2 STRATEGY

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Using six equal size sticks, create three squares of equal size.

Divide the rectangle into three pieces that will make a cross,

We have four sticks of equal length, and four more sticks that are twice as long. Move the sticks to make four squares of the same size.

Cut the cross below into four identical pieces that can be rearranged into a square [Carter & Russell, 1995]

Move four matches to make three equilateral triangles

Chess Stuff: Move a night about a chessboard so that in 16 moves it touches all of the squares on the board. Move a bishop around a board to touch all black squares in 17 moves. Move the queen about the board to touch all the squares in 14 moves. [pentagram]

How many balls can be removed from the box below, while still leaving the others locked in place? [Pentagram]