To solve the peg-board game, you need to learn a few peg-patterns. With the exception of the first, which is trivial, each pattern consists of a collection of pegs plus a catalyst peg. The collection of pegs will be completely removed from the board, and the catalyst peg will return to its original position.
The first pattern is as follows. This is the basic move used to remove a peg from the board.
The next simplest pattern involves three pegs in a row, plus a catalyst peg to the right or left of one end. This pattern can be rotated or reflected to match what you find on the board.
The next pattern involves six pegs in two rows, with a catalyst peg one space away from one end on the right or left. Like all other patterns, this pattern can be rotated and reflected as needed.
The next pattern is like the previous, but the catalyst peg can be in two different positions like this.
The six pegs are deleted in this fashion. It should be obvious how it works starting from the other catalyst position.
The final shape is a L-shaped collection of pegs with a catalyst peg either to the right or the left of the 4-peg row.
The final move on the L gives you this:
You use these patterns to solve the puzzle by applying them to groups as shown in the following illustration.
Remove the groups in this order:
