I've just discovered that those hex panels were probably recycled from an earlier production! I spotted them in the
Logan's Run episode "The Innocent" (co-written by D.C. Fontana), which aired October 10, 1977. I recognized them right off because we've been discussing them here. They're oriented vertically as door panels in the bedroom of the episode's main guest character, and can be seen in the below video initially at about 16:30 and more clearly from 22:48-23:18:
https://archive.org/details/LogansRunSeries/Logan's+Run+04+The+Innocent.avi
According to
Phase II: The Lost Years, the
Enterprise sets were under construction from about August-October '77. It doesn't specify when sickbay was built, but I assume it would've come later in the process than the bridge and engine room -- assuming the exam room set wasn't built later during TMP. And a
Logan episode that aired in early October was probably filmed before August anyway. So it seems highly probable that the hex panels were used in "The Innocent" first. Can anyone confirm the timing?
And hey, both the
Logan's Run series and TMP had the same set decorator,
Linda DeScenna! I guess that explains how the panels got from an MGM production to a Paramount one.