Transforming Cube Surface to Spherical Cube Surface (Generating Spherical Cube)

Question

I have the coordinates of points of an empty cube just like down below:

What I would like to do is transform that cube to something like this:

Ther

Answer 1

Draw grids on the faces cube and project every point that you need radially onto the sphere. Assuming the center of the cube at the origin, transform

(x, y, z) -> (x, y, z) / √(x² + y² + z²)