One popular balanced five-weapon expansion, adds "Spock" and "lizard" to the standard three.
This variant appeared in an episode of The Big Bang Theory. (see the video below).
         

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The Rules:
Scissors cuts Paper. Paper covers Rock. Rock crushes Lizard.
Lizard poisons Spock. Spock smashes Scissors. Scissors decapitates Lizard.
Lizard eats Paper. Paper disproves Spock. Spock vaporizes Rock.
Rock crushes Scissors.

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