Nero's Shadow wrote:

I've always thought the four square panels were large windows possible over rec areas of the ship so crew could look outside at the stars other stellar wonders, I feel that the crew would get bored and go space crazy not looking out of a window.? So it would be a meeting place so they could relax and enjoy the stars. IMAO
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And it just so happens that we have two two-story recreational rooms seen in the series (redresses of Engineering) which are ideally suited towards this purpose. There's the gymnasium, and there's the auditorium (where the Karidian Players performed). Now, we can also have a TMP-style "rec deck," and some form of sports facility, and that would pretty much cover all four, and all four make perfect sense for a ship the size and complement of Enterprise.