Can you post an image of what you are requesting? I haven't been able to understand from the description above.

Do you mean like this ?

If so, then I guess you'd want to sort the lines by angle first, then join each one to the next in the list, then fillet the resulting polylines.

I am thinking more on the lines of having 6 lines meet at one point, say the origin, then there are filets created between all lines in the x,y, and z coordinate system without disrupting the integrity of the lines on a parametric radius.