Mindz 1983

Mindz is an abstract ostensibly themed around colored rays of light on a mirrored board, but the mechanics are not informed by this (the board is shiny, though).

Each player controls a set of pieces in different colors, with the color indicating the number of spaces it can move in a turn. Moves can be made in any combination of directions. Each player also has a black piece ("black beam of light," it says here - interesting concept) which starts the game trapped by the opponent. The object of the game is to free your black piece and bring it to your edge of the board.

Rules are included for three and four-player versions. In each two players team up, and on each team one player plays attack and the other defense, with somewhat different rules.