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That is a great explanation of the Deform formula. I have some questions about x, y and z though. Delta is the change in direction. So I figure Size is the size of the shape in x, y, or z direction? Or is it the size of the sine wave? Pivot seem like the origin point of the sin wave maybe, so 0.5 would be the middle of the shape in whatever direction. I can't figure out what the x, y, z is in the parts like sin( _ * x + _). Is it the movement of the sine wave in that direction on the particular plane? 

Sorry for all of the questions. I never got far in math. I'm trying to brush up on my sohcahtoa.