31 Oct '03 18:30

Arrange 4 each of two kinds of markers (for example, four blue tiles and four red tiles) on the opposite ends of the playing board.

For example: [R] [R] [R] [R] [empty] [B] [B] [B] [B]

The object is to move the blue tiles to the Left and the Red to the right using only slides and jumps.

Slide: a move one square to the right for the red or one square to the left for blue. You must end up in an empty space.

Jump: A move in which red moves to the right by jumping over one blue and lands into an empty space. Vica versa for blue.

Restrictions: You cannot move backwards; for example, you cannot move red to the left or blue to the right. You must always land in an empty space.

1. How many moves does it take to solve the problem?

2. Record the sequence of moves.

3. What is the pattern of moving

4. If N is the # of tiles on one slide of the empty space, what formula could you use to find the # of jumps?

For example: [R] [R] [R] [R] [empty] [B] [B] [B] [B]

The object is to move the blue tiles to the Left and the Red to the right using only slides and jumps.

Slide: a move one square to the right for the red or one square to the left for blue. You must end up in an empty space.

Jump: A move in which red moves to the right by jumping over one blue and lands into an empty space. Vica versa for blue.

Restrictions: You cannot move backwards; for example, you cannot move red to the left or blue to the right. You must always land in an empty space.

1. How many moves does it take to solve the problem?

2. Record the sequence of moves.

3. What is the pattern of moving

4. If N is the # of tiles on one slide of the empty space, what formula could you use to find the # of jumps?