Circular Maze: rules, strategy, and free play

Circular Maze is a number-path puzzle on a concentric-ring grid. Cells are arranged in rings radiating outward from a centre — like the cross-section of a tree. You trace a single connected path from a marked start cell to a marked end cell, stepping between neighbouring cells in strict numeric order. Each cell has four potential neighbours: the cell on the inner ring, the cell on the outer ring, the cell clockwise in the same ring, and the cell counter-clockwise in the same ring. The radial layout gives the puzzle a distinctly different spatial feel from a square grid, even though the rules are identical.

THE RULES

  1. Start at the marked start cell; end at the marked end cell. Both endpoints are pre-marked. Your path must begin at the start and finish at the end.
  2. Walk between ring-adjacent neighbours only. From any cell you can step to its inner-ring neighbour, outer-ring neighbour, clockwise neighbour, or counter-clockwise neighbour in the same ring. The innermost ring has no inner neighbour; the outermost ring has no outer neighbour.
  3. Visit cells in strict numeric order. If you're on cell '4', your next step must land on a neighbouring cell showing '5'. No skipping numbers, no revisiting earlier cells.
  4. Visit every cell on the path exactly once. No revisits. The path is a connected chain through the ring grid.

BEGINNER STRATEGY

  • Anchor from the centre first. The innermost ring has the fewest cells and fewest neighbours. If the start or end is near the centre, those cells are heavily constrained — forced steps near the centre often cascade outward across multiple rings.
  • Trace from both ends simultaneously. Work from both the start and the end at once. Cells near the innermost or outermost rings often have only 2-3 valid neighbours, making early steps trivially forced from both directions.
  • Identify forced single-neighbour steps. When you're on cell N and exactly one neighbour shows N+1, that step is forced. Place it. Ring cells on the inner and outer boundaries have fewer neighbours, making this pattern very common.
  • Track the ring structure mentally. Circular mazes feel disorienting at first because 'up' means outward ring, not a fixed compass direction. Mentally label rings (innermost = ring 1, etc.) to keep track of which cells are adjacent along radial versus angular axes.
  • Never guess. A legitimate Circular Maze has exactly one valid path. If you're stuck, look for a boundary cell with a forced move, a dead-end branch, or the next unchecked single-neighbour step.

COMMON MISTAKES

  • Confusing ring-adjacent with diagonally adjacent. Cells in adjacent rings are not necessarily adjacent at an angle — only the directly inward or outward cell is a valid ring neighbour. Diagonal shortcuts across rings are not allowed.
  • Forgetting the outermost ring wraps clockwise. The longest ring often wraps around — the cell at the 'far end' of the ring is adjacent to the cell at the 'near end'. This wrapping creates forced paths near the ring boundary that are easy to miss.
  • Ignoring boundary constraints. The innermost ring and the outermost ring both lack one type of neighbour (inner/outer respectively). These cells are the most constrained in the puzzle — scan them first.
  • Placing a step without checking the next cell is reachable. Before committing to N+1, verify that at least one of its neighbours shows N+2 (or that N+1 is the end). Placing a cell that has no valid onward move is the most common error.

HOW TO THINK ABOUT IT

Circular Maze is a topology puzzle — the ring structure creates a different kind of constraint than a rectangular grid, but the underlying logic is identical: find forced moves, eliminate dead-end branches, work from both endpoints inward. The key orientation shift is that 'up' and 'down' in a circular maze mean 'outward' and 'inward', not compass directions. Once that mental model clicks, the circular layout often makes forced moves easier to spot because the innermost ring is visually compact with very few paths through it.

WHY THIS PUZZLE REWARDS YOU

Circular Maze is GridJoy's topologically surprising puzzle variant. The concentric-ring layout is visually distinctive — nothing else in the app looks like it — and the spatial orientation shift (radial + angular axes instead of x/y) rewards solvers who can build a mental model of the ring structure quickly. Players who enjoy Hex Mazes (for the non-standard topology) or Square Maze (for the familiar path-tracing logic) often find Circular Maze a satisfying bridge: the rules are identical to Square Maze but the ring layout changes where the forced moves appear.

VARIANTS

  • Square Mazes. The same numeric path-tracing puzzle on a rectangular grid with orthogonal neighbours (up/down/left/right). More familiar layout, same logic.
  • Hex Mazes. Number-path tracing on a hexagonal grid where every interior cell has 6 neighbours. Deeper forced-move chains — see the Hex Mazes page.
  • Starlink (Hidato). Consecutive-number path on a square grid with 8-direction adjacency (diagonals included). More routing freedom but the same chain logic.

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