Need help creating these surfaces

@Victor_Shapr3D Hey Victor! Thanks for getting back.

I’ve spent the evening playing with project, but don’t think it is possible as when I project my pattern onto the vase pattern starts to skew where it rotates. Here is what I mean:

So I am not getting that geometric pattern. I’ve tried sketching the pattern on the projection of the vase to planar and then projecting it back from 4 angles (90-90-90-90) however there are still same artifacts on the corners.

Is there another way to achieve that?

Thanks in advance!