Clue # 1
Holy s**t! So this is what it's like to be 'incompatible'!
Clue # 2
Gee, who turned out all the lights?
Clue # 3
I'm not the only one to do this in this episode you know!
Clue # 4
It’s incredible! Y'know, at this angle I think I can spot the dear captain's toupee line!
Episode: By Any Other Name
Yeoman Thompson
Some of these explanations are reaching a little...
1) She's incompatible with the Kelvans plans so she's "cubed"
2) Things got dark after being cubed
3) Not the only person cubed in this episode
4) After she's crushed, Kirk picks up her powdered form and looks at it. If she wasn't dead already and if she could see, she probably could see his toupee.
I seriously doubt that I guessed correctly but I haven't guessed in a while and that's all I got right now.