On a broad level it refers to something that is highly complex and involved.

On a more intricate level, it refers to something that has succeeded in the capture of complex details. The kind of details, like subtle mannerisms, that you take for granted in day-to-day life but are like little puzzle pieces that form the world around you, reality. That's why a lot of movies and such never seem truly realistic because they are lacking in the intricacies that inhabit the real-world. But when it happens, it's a good feeling to recognize the intricacies of the real-world successfully captured and portrayed in the fictional realm.
Man, this cartoon I am watching is intricate!
by TimeCrime March 18, 2010
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