How can I create center lines of a bifurcation. I can deal with the branches, but I am stuck on the bifurcation

Hi everyone,
As you see the bifurcation. I can create the center lines of the three branches using VU component, however, I am stuck at the bifurcation part. How should the center lines go? And how they are connected? The rhino file is attached.bifurcation.3dm (234.1 KB)
Any suggestion or ideas are appreciated!
bifurcation

Is this a Grasshopper or a Rhino question?

Sorry, I was not clear. It’s a Grasshopper question.

Merely asking because you didn’t upload a gh file.

The thing is, your problem is undefined. There is no obvious centre-line for the Y-joint. I image you’d get the best result if you omit the joint entirely and then just connect the three centre-lines with blend curves.

OK, David, I got your idea.Thanks!