Vektor Chess

You cannot see four dimensions. But you can see what a four-dimensional object looks like from inside three-dimensional space.
A 4D chess piece passing through your world doesn't appear all at once. You see a cross-section of it — a slice. Depending on where along the fourth axis the slice falls, the same piece can appear small, regular, or large. Move along the fourth dimension and the cross-section changes. The piece shifts. Its apparent form in your space is not its true form. It is a shadow of something bigger.
That is Vektor Chess.
The board extends across three spatial dimensions — eight files, eight ranks, eight layers deep. Pieces move through all of it: rooks sweep full columns, bishops cut diagonally through the stack, pawns climb upward layer by layer. But the board is not the whole picture. Every piece also exists along a fourth axis, invisible to you, expressing itself in three-dimensional space as a phase — Small, Regular, or Large.
Phase is not a status effect. It is geometry. It is the piece's true position rendered in a dimension you can only glimpse.
To capture, you must meet the piece where it actually is — not just in space, but in state. Position is necessary. Phase is also necessary. A piece can stand directly beside its enemy and remain completely harmless, because in the fourth dimension, they are not in the same place at all.