Three-dimensional chess is any chess variant that replaces the two-dimensional board with a three-dimensional array of cells between which the pieces can move. In practice, this is usually achieved by boards representing different layers being laid out next to each other. Three-dimensional chess has often appeared in science fiction—the Star Trek franchise in particular—contributing to the game's familiarity.
3D chess on Star Trek (from the episode "Court Martial")
The Tri‑D chessboard
Playing Parmen
A chess variant is a game related to, derived from, or inspired by chess. Such variants can differ from chess in many different ways.
A three-player chess variant which uses a hexagonal board
Models for the fairy chess pieces used in Capablanca chess