Callisto: The Game

From BoardGameGeek:

Callisto: The Game's brilliant design, including a board that changes surface according to the number of players present, is among one of the features that make this game so unique. While the goal is simple–to be the first player to place all of his/her tiles onto the board-the shapes of the tiles and additional columns make winning quite tricky. The game plays out like a competitive puzzle, and finesse and cunning are required to triumph. This entry is for the original game under the title Callisto: The Game. Its reimplementation Callisto has different boards and different tile distribution.