Here is an updated version, which requires that a center point be picked.

CircularSineWave3 is deleted.

CircularSineWave4 uses a picked center point.
For orienting the sine wave, prior setup of a cplane is very helpful. Then use 3d view to avoid stacked points.

Otherwise, the orientation is based upon the view used to select the point.
If two points are stacked in the Top/Bottom, Front/Back, or Right/Left view, the selected point is the point closer to the observer.

- Brian

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

Revised CircularSineWave4 due to my poor display .htm code.
Only 3 people downloaded the poor version, so please upload the corrected version 4.

- Brian

Just discovered that there ate news regarding the sibewavescript .

Thats fantastic Bemfarrner sending you a firework of thanks !