Oh, it's not the functions in Blender that I'm having trouble with. I've been using that program since around 2000 and frequently jump in to help folks with the software. It's an issue of how to apply the Golden Ratio to a starship's shape that I can't get my head around. Anyway, I worked up a second model with better geometry and scaled the components a bit better:
I thought I had an original idea here. That's why I hate mucking about with Trek these days, the mine has been heavily played out. I'm not gonna walk down a path already trodden, I'd rather go where no man has gone before.
Thanks for the contributions, guys. It made for a diverting ... evening. Now I think I'm going to wander off and find my scotch.
Your design looks much better now. But there's still something that "feels wrong." I think that the length of the "ring" section needs to be longer. You can play with design elements and ratios as much as you like, but I'm pretty well convinced that this is another of those "it'll look best with the 'golden ratio' between the diameter and the length" things.
That value is 1.61803399(and on.. it's an irrational number)
So... if that ring diameter is, say, 100m... the length of the ring segment would be 100/1.61803399, or about 60m.
If that feels "wrong," to you, try 40m. But I can say, right now, that the only element of this that feels "wrong" to me is the shortness of that ring section.
If you like, you can make it two rings... like the Jefferies ringship (fyi, his ringship's ring-length-to-diameter ratio is, not surprisingly, similar to what we're discussing here)
Just a suggestion... but if you do that, I think it will work beautifully.
Also... I agree with the idea that it's a common pylon... the neck (and more significantly, the structural members between the primary hull and the secondary hull) passes directly through, and also serves to connect the ring system. That's the trick... make sure that if you do an internal layout, treat those structural members as the "ship's keel."