Peg Solitaire
Some thoughts upon Group Theory and peg solitaire
so…
Here’s the start, let’s colour the board…
0 | 1 | 2 | 3 | 4 | 5 | 6 | |
---|---|---|---|---|---|---|---|
0 | • | • | • | ||||
1 | • | • | • | ||||
2 | • | • | • | • | • | • | • |
3 | • | • | • | • | • | • | |
4 | • | • | • | • | • | • | • |
5 | • | • | • | ||||
6 | • | • | • |
0 | 1 | 2 | 3 | 4 | 5 | 6 | |
---|---|---|---|---|---|---|---|
0 | • | • | • | ||||
1 | • | • | • | ||||
2 | • | • | • | • | • | • | • |
3 | • | • | • | • | • | • | |
4 | • | • | • | • | • | • | • |
5 | • | • | • | ||||
6 | • | • | • |
- [1,3]→[3,3]
- [2,5]→[2,3]
- [0,4]→[2,4]
- [0,2]→[0,4]
- [3,4]→[1,4]
- [0,4]→[2,4]
- [5,4]→[3,4]
- [4,6]→[4,4]
- [2,6]→[4,6]
- [4,3]→[4,5]
- [4,6]→[4,4]
- [4,1]→[4,3]
- [6,2]→[4,2]
- [6,4]→[6,2]
- [3,2]→[5,2]
- [6,2]→[4,2]
- [1,2]→[3,2]
- [2,0]→[2,2]
- [4,0]→[2,0]
- [2,3]→[2,1]
- [2,0]→[2,2]
- [4,3]→[2,3]
- [2,3]→[2,1]
- [2,1]→[4,1]
- [4,1]→[4,3]
- [5,3]→[3,3]
- [3,4]→[1,4]
- [3,2]→[3,4]
- [4,4]→[2,4]
- [1,4]→[3,4]
- [3,5]→[3,3]