4 × 4 × 2 × 2. Sixty-four squares, four axes.

Chess with a fourth direction.

A demo game is playing. Drag the tesseract to rotate it, scroll to zoom, or tap a piece on the flat boards to take over.

Four boards make one tesseract. A rook slides from one board to the same square on the next; your king can be in check from a piece in the other cube. Play people or the computer, free, no account needed.

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How 4D chess works

Every square has four coordinates: file (X), rank (Y), which board column (Z) and which board row (W). The four 4×4 boards on screen are one 4×4×2×2 hypercube. A rook changes exactly one coordinate, a bishop exactly two by the same amount, a queen any set, the king one step on any combination, and a knight jumps two on X or Y and one on another axis.

That is the whole trick. Moving a rook from a1 on the bottom-left board to a1 on the top-left board is a straight move along W. Two lines that cross in the 3D projection do not share a square. Checkmate wins; there is no castling, en passant or double pawn push.

Learn the rules