Minecraft in higher dimensions

I know that the world-building of Minecraft is based on my noise function. All of those cool mountains and hills and landscapes are created out of procedural noise.

To create all of those topographies you just need to use noise over a 2D domain. But the noise function is actually defined over a 3D domain.

I wonder whether it might be interesting to create a variant of Minecraft that exists not over the 2D domain of a landscape, but rather the 3D domain of space. Of course the gameplay would need to be different, and working out that gameplay would be an interesting exercise.

It seems to me that such a game would be particularly well suited to virtual or blended reality. The players could then more easily look around and change their viewpoint.

I wonder whether anyone has built such a game. If not, I might just have to.