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To grok something is to intimately and completely share the same reality or line of thinking with another physical or conceptual entity. Author Robert A. Heinlein coined the term in his best-selling 1961 novel Stranger in a Strange Land. In the 1960s everyone who was a nerd read the book and frequently used the term grok in everyday speech.
A popular t-shirt and bumper sticker slogan, seen as early as 1967, was "I Grok Spock" (often showing the Star Trek character using the Vulcan salute).