Beta Antares IV

Planet Kirk claimed as the home of fizzbin

A planet James Kirk named as the home of fizzbin, the card game he invented on the spot to distract his captors on Sigma Iotia II.

Beta Antares IV is a planet mentioned in the Original Series episode A Piece of the Action.
Held at gunpoint by gangsters on Sigma Iotia II, Kirk scoffs at their card game and offers to teach them a real one, fizzbin, which he says is played on Beta Antares IV. He then improvises a set of ever more baffling rules that change with the day of the week and the time of night.
The guards are so absorbed that Kirk, Spock and McCoy are able to overpower them. Nothing else is said about the planet, and the game itself appears to be entirely Kirk's invention.