Although some here will know this, I don't believe it is common knowledge as every newly posted 6pt vs 12pt thread will site an advantage of 12pt sockets w/ breaker bar as having a smaller, achievable, angle between sequential positions (60° vs 30° degree angle of rotation).
To start from the beginning, examples of 6pt (left) and 12pt (right) sockets. On a hexagonal bolt/nut, a 6pt socket can be placed in one of six unique positions (60°, 120°, 180°, 240°, 300°, 360°) and a 12pt socket can be placed in one of twelve unique positions (30°, 60°, 90°, 120°, 150°, 180°, 210°, ...and so on). In the case of a socket/breaker bar, or any other fixed head config, this translates into six or twelve possible handle positions respectively.
Here a clock face is used to represent the points of a 12pt socket.
...and here the even numbers are marked to represent the points of a 6pt socket.
Now, to access the points represented by the odd numbers with the same 6pt socket, simply remove and rotate the socket 1/4 turn (in either direction, CW or CCW, relative to the breaker bar or handle). As can be seen, the even numbers are now where the odd numbers were and vice versa.
To obtain a handle position between two sequential handle positions... (Note the position of the 6 points.)
...simply remove and rotate the socket 1/4 turn in either direction and reattach. (Can you see the twelve points represented within the last two pics?)
To start from the beginning, examples of 6pt (left) and 12pt (right) sockets. On a hexagonal bolt/nut, a 6pt socket can be placed in one of six unique positions (60°, 120°, 180°, 240°, 300°, 360°) and a 12pt socket can be placed in one of twelve unique positions (30°, 60°, 90°, 120°, 150°, 180°, 210°, ...and so on). In the case of a socket/breaker bar, or any other fixed head config, this translates into six or twelve possible handle positions respectively.
Here a clock face is used to represent the points of a 12pt socket.
...and here the even numbers are marked to represent the points of a 6pt socket.
Now, to access the points represented by the odd numbers with the same 6pt socket, simply remove and rotate the socket 1/4 turn (in either direction, CW or CCW, relative to the breaker bar or handle). As can be seen, the even numbers are now where the odd numbers were and vice versa.
To obtain a handle position between two sequential handle positions... (Note the position of the 6 points.)
...simply remove and rotate the socket 1/4 turn in either direction and reattach. (Can you see the twelve points represented within the last two pics?)
