Apparently pointpicker by itself, and CircularSineWave3, does not pay any attention to a cplane which has been set up before the script. (?)

So in order to place a CircularSineWave "parallel," for example, to say a random face of an object, manually apply a cplane to the face, with the normal
perpendicular to the face, then run CircularSineWave4 and select the cplane application point, in 3d view. (Avoiding stacked points.)
So CircularSineWave3 is nominated for deletion :-)

- Brian