A cubeoctahedron based on TomZ's mass produced Curvy Copter

Nice puzzle, strange name! Shouldn't it be called Curvy Cuboctopta or some such?

Thank you so much Claus! I love this puzzle, I was hoping someone would get to making it, I didn't want to have to cut up my own.

nice! I like that one very much!

the curvy triangles formed by cutting the curvy corners look cool. That was a good idea.

Can you redo the first image?
The reflected flash hides something of the original view.

And: A very interesting name.

Cool puzzle Claus. I was drawing this up in SketchUp the other day. It does look very nice, although I would like to see slightly larger stickers for where you've capped the truncated corners.

I love how you use variations of a puzzle to mod into other 3x3 variations.

One idea I have is to transform the Curvy Copter into a tetrahedron?
Maybe that's a little crazy.

There's a problem with the build up. A 3x3x3 can be built up into any size, because all cuts have intersected inside the solid and than stay parallel as they intersect with the cube's surface.
On a helicopter cube, the cuts meet exactly at the surface. Building up any material will result in the need of additional (floating/groove mechanism as a straightforeward aproach) parts. The first ones you need are those found on TomZ' Curvy Copter II and the helicopter octahedron.
If you want a Tetrahedron that's only a shape transformation you would have to cut the cube down that far. I don't think it would still be intact. Maybe the "cheat" also done here is possible: http://twistypuzzles.com/cgi-bin/puzzle.cgi?pkey=1632
I never found that really cool though.

Curvy Copter Tetrahedron.

UUHH. How could I forget, lol?
And of course pillowing a legit technique too.