RUN SILENT, RUN DEEP is usually mentioned by those involved in the production of BALANCE OF TERROR as the model they were working from.

Heck, I love "homage" episodes in Star Trek (and Doctor Who). DEEP SPACE NINE did really fun takes on CASABLANCA, with Quark and Garrek in Bogart and Reine's roles, more or less, and CHARADE. Again, I think it centered on Quark, but I will refrain from saying "in Audrey Hepburn's role."
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