Spiral(s): Select shifted items from branches

It's been a while since my last post, hope I can get some help.

I can't think what I can do to fix it, maybe it is very easy but I can not see it!

First: What I want is to select the point (index number = 0) of the branch {0, 0, 0}, with point (index number = 1) of the branch {0, 0, 1}, with the (index number = 2) of the branch {0, 0, 2}, and so on up until the top point of the cone, each branch or 'line' is the line connecting the center point with the points subdividing the base circle. It is the same logic to create a diagonal but as this is cone-shaped, I get a spiral. I create the spiral by interpolating this selected points. 
In theory, if I add the number that subdivide pts each 'line', the spiral should get larger and make more turns in itsef before reaching the top(revolution).

[Maybe there is a much easier way to produce spirals, but the reason I wanted to do it this way is because...]

Because I want to do this second thing: I want to have as many spirals as subdivision points of the circle. So if the first spiral starts in the branch {0;0;0}, the second will start at {0;0;1} and so on. 

Any help, I'd be more than grateful!