With 3, you are in – and 3 is omnipresent in the game Triad.
Each die shows the number values I, II, and III. On each turn, your action consists of three parts: Choose one of your dice, turn it onto a side with a different value, then move it that many spaces.
Your objective is to create triads. A triad consists of a line of three dice with the same number value or of three dice with different values; the line needs to contain at least one die of each color. When you create a triad, you must remove one of your dice in the just-formed triad from the board.
The first player to remove three dice from the board wins.
Andrew waxes rhapsodic about the wonder of simplicity in this Meeple Mountain review of the abstract puzzler Triad.