They're some stock thing. In the past I've pointed them out in at least one other show, much like the "Vulcan" tiles (which were also seen in Battle Beyond the Stars and the Buck Rogers premier).Weird, since that hex pattern shows up in the Phase II concept art of the Captain's Quarters, which was well before either date. Perhaps the concept was created to include this particular hex grating which the studio had a supply of already? Or perhaps they generated quite a few of these for the Enterprise sets, and one was borrowed for the Logan's run episode? Quite a mystery, but good find, @Christopher!
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@Redfern years ago spotted them here...
Not the graphics mounted within the backlit plates, just the overall panel itself? Was it assumed they were constructed specifically for the first motion picture? If so, well, I had a bit of a surprise when I watched something earlier this evening I hadn't watched since 1977, "The Making of Star Wars" which aired on ABC television in September '77. Much of the action took place within some generic sci-fi control room as C-3PO and R2-D2 discussed the "recently" released blockbuster movie. As the camera panned at one point, I noticed something oddly familiar. I backed the footage a few seconds to see it again, this time taking a screen capture and highlighted the area of interest in a bold green border.
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That's an incorrect interpretation of the painting. Minor did not portray them as wood. The top detailing of the set was a shade of red (probably the same color as used in the Star Trek II TV engine room), as described here:^Interesting. That concept illustration shows them as some kind of wood paneling rather than storage compartments or viewscreens[...]

...and here's a photo of the reddish color as employed on the engine room hex mesh...

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