Lurks,
I've been meaning to reply for a while but I had something on and wanted to take the time to set you up with a decent attempt. Also I knew this was a bum task before I started so read on.
You know how sometimes no is also an answer. Well this is one of those times. What you're trying to do is to create geometry that disappears to a point. This is something that NX abhors with some justification. So even though it seems simple when you say that I JUST want to do this, I'm afraid that you've stumbled upon a case which is a near impossibility and even when we do make it work it isn't very good.
John knows this well enough I'm sure and he tried to steer you to a couple of examples that involved more straightforward and better resolved methods of constructing the geometry in question. In effect he says you probably don't want this instead you would be better of with a more sensible alternative. I agree with him but I give you a result that approaches what you asked for nonetheless. Keep reading to find out why I don't even like my own model.
Michael gave you a swept feature as you asked and he did a pretty good job of answering your question with that. So I don't want to bring him down with anything I'm about to say because it isn't his fault that NX just can't do a good job using this technique and especially not his fault that he used your bridge curve which of itself introduces some problems.
That bridge curve in shape if you look really carefully in plan view goes outboard of the existing profile. I guess you didn't know that at the time and it is pretty much going to cause huge problems controlling the shape of the outboard portion of your sweep. I used it in part but later added an extra curve in the center of the tapering section to better control the blends.
The other problem with the sweep is that it goes down to zero and this as I mentioned gives you no control over the faces as they approach the pointy end. You have poor tangency between all the faces edge to edge and back to the existing face at the start. In fact the outboard side of the swept feature which could be assumed ought to match the side of the base does not. Instead with bellies out by 0.018".
The problem with wanting to come to a point is that a three sided surface is anathema to NX (in common with most if not all other CAD systems). Surfaces like curves are controlled by a their vertices or poles as they are often called. When a rectangular surface is built poles in the U and V direction are matched end to end and side to side to create a mesh. When one side consists of a point therefore you have the situation where all the poles on the opposing side have to meet just one control. So as the resulting surface nears that point somewhere within the tolerances that NX builds to there will be some lack of control. In fact you almost never get a desirable result.
I've tried to repeat the same sweep that Michael created with equivalent effects using an improved set of curves. This was after I created what I'm sending you now. The result was a little better but equally could not be united to the main body. We both had that in common, and the reason as I outlined before should no longer surprise you, of course the face at the bottom, (the underside as you look at the model), would not match the original. We weren't able to assert sufficient control over the swept body to ensure that would be the case.
What I have done is to sweep an extended version of the top face using you bridge curve, just to respect the geometry you intended to create. I closed the shape with some extruded sides and extracted faces. These I may have removed parameters from for convenience sake as it was only a quick method. You should probably alter your sketches etc.. to a better job, but I think you're better able to see the method behind it if I just explain that this wasn't very important and leave it so. The result was a sewn body that has five sides tapering to a point and having sharp edges. I also mirrored it before uniting this to the main body to do both sides. The other thing I haven't mentioned thus far is that I removed some of you original blends and united my new solids to your main body at an opportune point for me to reattach those blends before another feature. This was done because my means to create pointed ended blends was to use tangency controlled face blends. The new curve I talked about earlier was just a curve down the center of the tapered solid in plan view that I projected in Z onto the face. This I combined with edges that I took off a temporarily applied edge blend (0.125" radius) were the tangency controls for the face blend. And on the outside another tangency controlled face blend also came to a point and there you have it.
I reapplied another blend that needed to go after and I deleted a couple of faces (simplified in NX-4) that aren't required and it appears to be an Okay result.
However checking some of the blend tangency it still isn't 100% perfect. I'm seeing isolated errors near the pointy end of between 3 to 5 degrees 'ish. Normally I wouldn't be happy with that but to prove the point without dodging the fact that there are limits to everything I would say it may be just about the best you're going to be able to achieve.
I hope you get something from this it was an interesting journey. Next time I'll send the you a bill
Best Regards
Hudson