Board game

The recreation facilities on Starfleet vessels were typically equipped with several board games of Terran or alien origin. These games were quite popular among Starfleet crews as an off-duty pastime. There were two-dimensional as well as three-dimensional board games. 2D games were played on a single, flat game board, whereas 3D games usually featured several flat game boards on different planes.

2D board games
The recreation room on the was equipped with a standard Terran chess set. Ensign Jean-Luc Picard also kept a chess set with large, frosted glass pieces in his quarters at Starbase Earhart. 

Trip Tucker kept the equipment to play Go in his quarters aboard the. 

Kadis-kot was frequently played in the mess hall of the USS Voyager. (, et al.)

3D board games
A very popular 3D board game in Starfleet was three-dimensional chess. 3D chess sets were present in the recreational facilities aboard the USS Enterprise (NCC-1701), the USS Defiant (NCC-1764), and the USS Enterprise (NCC-1701-D), here most notably in Ten Forward. 

The recreation room on the Enterprise was also equipped with a 3D board game consisting of four vertical acrylic rods in a quadratic arrangement, where each rod supported three 2x2 game boards which closely resembled the moving boards on a 3D chess set, so that there were twelve boards with a total of forty-eight squares (twenty-four white and twenty-four transparent). The game was played with red and black checkers pieces, eight of each color. 

Ten forward on the Enterprise-D was equipped with a three-leveled board game. The game set consisted of two chess-like 7x7 checkered boards on the upper two levels, and a lower board of the same overall size, but closely resembling a Nine Men Morris board. The three levels were arranged stair-like. The game was played with silver and gold game pieces which were all alike. 

Ten Forward also provided the facilities to play Strategema, a 3D board game which was played with a holographic projection of three game boards instead of a solid game set.