Outside Twist Off (Hook) Turn

Hook Turns or Cuts have been looked at as 'chops' where the ball gets played out of the feet on the first touch. This certainly becomes part of it at some point when that technique is needed, however the Hook Turn can also be characterized as a 'Stop-Starts' and called 'Twists' because the ball is getting stopped and the player is twisting over top of the ball.  After the ball is stopped, the dribbler now also has the option to turn or continue in the same direction depending on the action of the defender.
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Begin with the ball on one foot, then with the outside of the foot reach forward and stop the ball. The body then twists and with the second touch start the ball moving in the other direction with the outside of the same foot.

360 Twist Off

The player stops the ball with the outside of the foot, steps around the ball so they can twist their body and then the second touch with the outside of the foot takes the ball away in the same direction that they were traveling.