Do you 'see' the CMB map as a 3D glass sphere/ellipsoid?

[Roberto Pavani]

When I look at the standard Mollweide projection of the CMB, after a few seconds my brain seems to "un-project" it into a 3D object, as if I'm looking at a transparent glass rugby ball from the outside, with the CMB pattern painted on its surface.
I get the impression of seeing both the front and back hemispheres superimposed in transparency, a bit like when a stereogram suddenly "pops" into depth.

I'm not talking about pareidolia (seeing faces or shapes in the pattern). It's more of a geometric thing, my brain tries to reverse the projection and reconstruct the sphere/ellipsoid it came from. It might just be an optical illusion or my imagination filling in the gaps.

I was wondering: does anyone else experience something similar, or does the map stay completely flat/2D for you? I have no idea whether this is common or just a quirk of how my brain processes these images.

 

[.Scott]

It's easy for me to imagine that green/yellow/red is foreground facing "out" and the light/dark blues are a view of the background facing "in".
Or I can see the yellow regions with red as foreground and yellow regions without much red as background.