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I know that. Where and when it was measured. And it is just a visual representation. But if you do the Gedankenexperiment of measuring the CMB in a Galaxy far far away, you would get a _different_ CMB imprint, not a perspective change on ours.There wuld be parts invisible to us.
i see what you're saying. Unless i had the actual CMB data implementing that would be really difficult
You have to make a distinction between the universe (independent of us), and the observable universe the part of the universe from which light could reach us (depends on us being coincidentally here and now): Our CMB is what _we_ can see of "surface (3D really) of last scatter"
Obviously that otherworldly CMB data is a bit hard to get 
. But you can just visualise that in every direction you look there is CMB "visible". It would make a fine virtual reality thing (for extra bonus superimpose the night sky)
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