I'm pretty sure the trig nodes work on radians, so the cycle length would be 2pi. Where do u and v come from? It's just an alphabet thing. When 3D cartesian coordinates were invented, the three letters used were x, y and z. Then when mathematicians started to talk about transformations from one 3D space to another, they needed another set of three letters to describe the coordinates of the target space. x y z are the last three letters of the aphabet, so it sort of made sense to move back three places and choose u v w. Texture mapping is a transformation from 3D space to 2D space, so the third coord, w, is usally dropped and we just talk about mapping from xyz space to uv space. However, there are some 3D programs that actually map to 3D space and use a full uvw mapping - it's just rare because it's not that useful.

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