I think we're missing something here:
Q. What happens when you look through a "portal" from different angles?
A. The "texture" looks different, because you're looking at a different spot in the "other room".
Now, I don't know if the Topic Creator wants a picture perfect recreation of this Warp Zone... but if he doesn't then I suggest using one of the proposed ideas. Just remember that the closer you get to the texture, the uglier it will appear.
The one and only,
Those who live in the past, are destined to insanity. Those who live only for the future, will be slaves to their ambitions.
Those who live in the moment... only they, are truly happy.