Graph

Arbitrary node-edge structures. Concentric rings (Morris), grids with diagonals (Alquerque), or any custom topology expressible as nodes connected by edges. No grid assumptions, no axis constraints.

7 Variants
2 Families
Structures

Nodes and Edges

Graph topology is the escape hatch for boards that don't fit grids, hexes, or tracks. Define nodes, connect them with edges. The topology provides adjacency; game rules handle movement and capture.

Nine Men's Morris Rules

Three concentric squares connected by midpoints. 24 nodes, 32 edges. The "concentric-rings" structure generator creates the classic Morris board from parameters. Mill detection is a plugin concern, not a topology concern.

engine:
  topology:
    type: graph
    structure: concentric-rings
    params:
      rings: 3
      midpoints: true
  players: [white, black]
  setup: ""
Nine Men's Morris board

Nine Men's Morris (3 rings + midpoints) — 24 nodes, 32 edges

Six Men's Morris Rules

Two concentric squares, no midpoints. Fewer nodes mean faster, more tactical games. Same structure generator, different ring count and midpoint parameter. The mill-forming logic works identically.

engine:
  topology:
    type: graph
    structure: concentric-rings
    params:
      rings: 2
      midpoints: false
  players: [white, black]
  setup: ""
Six Men's Morris board

Six Men's Morris (2 rings, no midpoints) — compact variant

Twelve Men's Morris Rules

Three concentric squares with midpoints AND diagonal connections. More edges mean more possible mills and more complex movement. The structure generator adds diagonals as a parameter.

engine:
  topology:
    type: graph
    structure: concentric-rings
    params:
      rings: 3
      midpoints: true
      diagonals: true
  players: [white, black]
  setup: ""
Twelve Men's Morris board

Twelve Men's Morris (3 rings + midpoints + diagonals) — maximum connections

Browse All Graph Variants

Morris games, Alquerque, and custom node-edge boards.

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