Delta is a number, and numbers are not directional. The word "directional" often is used to refer to the effect of market movement on the value of the position. What I am trying to figure out is how to get a position that has a very small delta when the underlying moves in one direction, and a large delta when the underlying moves in the opposite direction? Signs of the delta are not my concerns here. In other words, how to get large positive gamma when underlying moves one way, and nearly zero gamma for the other way. So far I have not been successful. Mathematically possible? Any suggestions?