The Double Jumping puzzles involve two players, each taking turns jumping from hexagon to hexagon. Each player starts on one of the two start hexagons, and each must reach one of the two finish hexagons simultaneously (within one turn of each other). Either player may go first.

In order to move, the hexagon that the first player currently occupies shows the movement options for the second player. Once the second player has moved one hexagon, that hexagon shows where the first player can move.

Here is an example puzzle:

If the player on the left-most start hexagon were to move first, the possible moves (according to the shaded triangles of the right-most start hexagon) would be right-up to the right-most start hexagon or right-down to the top-most finish hexagon. However, if the player on the right-most start hexagon were to move first, the possible moves (according to the shaded triangles of the left-most start hexagon) would be left-down to the left-most start hexagon or down to the top-most finish hexagon or up (which is off the board).

The solution below not only marks the paths of the two players (red and green), but also the shaded triangles used to determine the correct path movements. Note that the red shaded triangle means that the red player moved first.

Also included below is a complete chart of the problem space for this example puzzle. Each hexagon has been given a corresponding letter, and the different players are distinguished by capital and non-capital letters. Every letter pair notes where each player is at the end of a turn, with the first letter about to move next. Since either player could be the first to move, there are two different problem spaces. An "Ø" character represents when a player is about to make a move off of the board. The correct solution is highlighted in blue.

One final tip: You don't need two people to solve these puzzles. In fact, two people may make things even more complicated, since this isn't a race. Cooperation is needed between the two players to reach the two finish hexagons at the same time.

Last updated: January 2, 2003

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