HyperDimension Chess
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HDC Handbook

Pieces

Last updated: June 1, 2026

This page explains the seven HDC piece types. Each piece has a short rules summary and five movement diagrams showing its targets relative to the reference layer.

The five diagrams per piece always use the same order: Z+2, Z+1, Reference layer, Z-1, and Z-2. This makes movement across layers easy to compare.

King

The king is the most important piece: checkmate against the king ends the game.

Move
One square in any direction: straight, 2D diagonal, or 3D diagonal.
Capture
Like a normal king move onto an enemy-occupied target square.
Blocking / jumping / sliding
No jumping and no sliding: the king moves exactly one square. Own pieces block the target square.
Color behavior
Mixed; depending on direction, the square color may change or stay the same.
Possible directions
26 directions, exactly one square each.
Starting squares
White E1–IV; Black E8–IV.

Movement diagrams

King: movement diagram for Z+2
Z+2
King: movement diagram for Z+1
Z+1
King: movement diagram for Reference layer
Reference layer
King: movement diagram for Z-1
Z-1
King: movement diagram for Z-2
Z-2

Queen

The queen is the strongest long-range piece and controls lines, plane diagonals, and true 3D space diagonals.

Move
Any distance orthogonally, along 2D diagonals, or along 3D diagonals, as long as the path is clear.
Capture
Along a clear line onto an enemy-occupied target square.
Blocking / jumping / sliding
Sliding piece: intermediate squares must be empty. No jumping.
Color behavior
Mixed; depends on direction and distance.
Possible directions
26 directions: 6 orthogonal, 12 2D diagonal, and 8 true 3D space diagonals.
Starting squares
White D1–IV; Black D8–IV.

Movement diagrams

Queen: movement diagram for Z+2
Z+2
Queen: movement diagram for Z+1
Z+1
Queen: movement diagram for Reference layer
Reference layer
Queen: movement diagram for Z-1
Z-1
Queen: movement diagram for Z-2
Z-2

Duke

The Duke is a “queen light”: it combines rook lines and 2D diagonals, but not true 3D space diagonals.

Move
Any distance orthogonally or along 2D diagonals. True 3D space diagonals are excluded.
Capture
Like a sliding move onto an enemy-occupied target square.
Blocking / jumping / sliding
Sliding piece: intermediate squares must be empty. No jumping.
Color behavior
Mixed; depends on direction and distance.
Possible directions
18 directions: 6 orthogonal and 12 2D diagonal, without true 3D space diagonals.
Starting squares
White E1–V; Black E8–V.

Movement diagrams

Duke: movement diagram for Z+2
Z+2
Duke: movement diagram for Z+1
Z+1
Duke: movement diagram for Reference layer
Reference layer
Duke: movement diagram for Z-1
Z-1
Duke: movement diagram for Z-2
Z-2

Bishop

The bishop remains the color-bound diagonal piece, extended to the three 2D diagonal planes XY, XZ, and YZ.

Move
Any distance along a 2D diagonal in XY, XZ, or YZ.
Capture
Along a clear diagonal onto an enemy-occupied target square.
Blocking / jumping / sliding
Sliding piece: intermediate squares must be empty. No straight lines, no jumping.
Color behavior
Always remains on the same square color.
Possible directions
12 directions: 2D diagonals in XY, XZ, and YZ.
Starting squares
White C1–IV, F1–IV, E1–III, E1–VI; Black C8–IV, F8–IV, E8–III, E8–VI.

Movement diagrams

Bishop: movement diagram for Z+2
Z+2
Bishop: movement diagram for Z+1
Z+1
Bishop: movement diagram for Reference layer
Reference layer
Bishop: movement diagram for Z-1
Z-1
Bishop: movement diagram for Z-2
Z-2

Knight

The knight is the tactical jumping piece and remains independent of blockers.

Move
A 3D L-jump with distances 2–1–0 in any axis order.
Capture
The knight captures by jumping onto an enemy-occupied target square.
Blocking / jumping / sliding
Jumping piece: intermediate squares are irrelevant. Own pieces block the target square.
Color behavior
Changes square color on every move.
Maximum targets
Up to 24 targets from a central position.
Starting squares
White B1–IV, G1–IV, E1–II, E1–VII; Black B8–IV, G8–IV, E8–II, E8–VII.

Movement diagrams

Knight: movement diagram for Z+2
Z+2
Knight: movement diagram for Z+1
Z+1
Knight: movement diagram for Reference layer
Reference layer
Knight: movement diagram for Z-1
Z-1
Knight: movement diagram for Z-2
Z-2

Rook

The rook controls the straight axes of the cube and is the castling partner.

Move
Any distance straight along X, Y, or Z.
Capture
Along a clear straight line onto an enemy-occupied target square.
Blocking / jumping / sliding
Sliding piece: intermediate squares must be empty. No diagonals, no jumping.
Color behavior
Mixed; depends on axis and distance.
Possible directions
6 directions: straight along X, Y, and Z.
Starting squares
White A1–IV, H1–IV, E1–I, E1–VIII; Black A8–IV, H8–IV, E8–I, E8–VIII.

Movement diagrams

Rook: movement diagram for Z+2
Z+2
Rook: movement diagram for Z+1
Z+1
Rook: movement diagram for Reference layer
Reference layer
Rook: movement diagram for Z-1
Z-1
Rook: movement diagram for Z-2
Z-2

Pawn

The pawn remains the directed mass piece. As in classical chess, moving and capturing are deliberately different patterns.

Move
White moves toward +Y, Black toward −Y, on the same layer. From the starting square, a double step is possible if the path and target are clear.
Capture
Pawns capture diagonally forward: classically by changing file, and in HDC also by changing layer.
Blocking / jumping / sliding
No jumping and no sliding. Forward squares must be empty.
Color behavior
A single forward step changes square color; captures stay on the same square color. The double step is a special starting move, as in classical chess.
Maximum targets
Up to 6 targets from the start: 1/2 forward plus up to 4 captures.
Starting squares
White all squares A2–Z through H2–Z for Z=I–VIII; Black all squares A7–Z through H7–Z for Z=I–VIII.

Movement diagrams

Pawn: movement diagram for Z+2
Z+2
Pawn: movement diagram for Z+1
Z+1
Pawn: movement diagram for Reference layer
Reference layer
Pawn: movement diagram for Z-1
Z-1
Pawn: movement diagram for Z-2
Z-2

Pieces compared briefly

  • Largest spatial control: Queen, Duke, Rook.
  • Precise diagonals: Bishop, Queen, Duke.
  • Tactical surprises: Knight and Pawn.

Mini FAQ

Is the new piece called Duke in both languages?

Yes. The piece name is Duke in both German and English. In current HDC notation, D means Duke; the queen is written as Q.

Why does the queen have more directions than the Duke?

Because only the queen also uses true 3D space diagonals.

Does the bishop remain color-bound?

Yes. It moves only along 2D diagonals and therefore remains on the same square color.

Does the knight still jump over pieces in HDC?

Yes. As in classical chess, intermediate squares do not matter for the knight.

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