I don't know if anyone is interested but here we go.
Here's a star I drew this morning in SketchUp. It is 3D and the back looks the same as the front. Who knows? Maybe this is the back. Anyway the skins are stretched over lines and nothing is flat.
That's pretty good. Not quite what I did and the result is a bit different but I like how you approached it. I mentioned that I need to make views from other points of view. One thing you can't see in mine is that the surface is rounded over in the area between the points. I'll let you stew on that and as soon as I get a few minutes, I'll show how I did it.