Answers to Turnabout Puzzles

 

Puzzle 1   5 moves

One way to record this is to use Binary Notation. 1 stands for a match pointing left, 0 stands for a match pointing right;

 1 1 1 1

 0 0 0 1

 0 1 1 0

 1 1 0 1

 0 0 0 0

 

 

 

Puzzle 2   Only 4 moves

1 1 1 1 1

0 0 0 1 1

0 1 1 0 1

0 0 0 0 0

 

Puzzle 3  Only two moves

 

Puzzle 4  Only 3 moves

1 1 1 1 1 1 1

0 0 0 1 1 1 1

0 0 1 0 0 1 1

0 0 0 0 0 0 0

 

Investigation