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Multiple realities
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Kal-toh, Riddles

An incomplete kal-toh

Kal-toh finished, Endgame

A completed kal-toh

You may be looking for Kalto Province.
"Kal-toh is as much a game of patience as it is of logic."
– Tuvok, 2378 ("Endgame")

Kal-toh was a Vulcan game of intense strategy that could be played solitaire or by multiple individuals. The object of kal-toh, as stated by Tuvok, "Is not about striving for balance but about finding the seeds of order even in the midst of profound chaos." A kal-toh set consisted of a number of playing rods called t'an.

When described by Harry Kim to an amnesic Tuvok, he said "The object of the game is to turn this jumble of rods into a perfect sphere", and that each player took turns to position pieces, the one managing to form the final intended shape winning. (VOY: "Riddles")

When Kim referred to kal-toh as "Vulcan chess", Tuvok commented that, "Kal-toh is to chess as chess is to tic-tac-toe." (VOY: "Alter Ego") Kim played several games with Tuvok, noting that it was surprisingly addictive for a game of pure logic, although he never managed to defeat Tuvok before Voyager returned to the Alpha Quadrant. (VOY: "Alter Ego", "The Omega Directive", "Riddles", "Endgame")

A different game referred to as Vulcan chess was shown in TAS: "The Magicks of Megas-Tu".

In a holodeck simulation created by The Doctor that included numerous historical figures, the holograms of Socrates and T'Pau played kal-toh together. (VOY: "Darkling")

During a game played by Tuvok and Harry Kim, Seven of Nine took a turn for Kim and beat Tuvok in one move, claiming she used elementary spatial harmonics to do so. (VOY: "The Omega Directive")

Tuvok, Icheb, and Harry Kim often played a match of kal-toh together. Icheb was quite talented with the game, although Tuvok blamed Icheb's first victory over him on an early manifestation of his degenerative neurological condition. (VOY: "Endgame")

In an alternate timeline, Captain Harry Kim kept a kal-toh game in his ready room aboard the USS Rhode Island. (VOY: "Endgame")

A completed game of kal-toh is in the shape of two nested icosidodecahedra connected by the center points of their edges.

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