A little room to wonder
Maze Design
A maze is a designed set of connected passages and choices. Testing it means checking both whether a route exists and whether the written rules let the player use it.
How do you know a maze is solvable before adding decorative walls?

Represent connections first
A maze can be simplified into points and links. A point may stand for a junction or room; a link means a permitted connection. The drawing’s exact shape can change while the underlying connections stay the same.
A dead end is a branch that does not continue towards another junction or the goal. A loop offers a way to return to a previous point by a different route. Neither feature automatically makes a maze unfair.
State what counts as a solution
“Reach the exit” and “reach the exit without revisiting a point” are different tasks. Direction arrows, locked routes or required visits change the possible solutions. A designer needs to test the actual rules rather than an easier unspoken version.
Separate route length from how confusing a drawing looks. A long winding line with no choices may be easier to follow than a short network with several branches. Visual clutter and decision complexity are different features.
Worked example: a fictional letter maze
Draw these two-way links: Start–A, A–B, B–Exit, A–C and C–D. No other links exist. Start–A–B–Exit reaches the exit in three links. Choosing C leads through D to a dead end, requiring a return if revisits are allowed.
Now add D–Exit. The C branch becomes another solution: Start–A–C–D–Exit, four links long. A single new connection removes the dead end. If the rule asks for the fewest links, the original B route still wins; more solutions do not mean equal route lengths.
Audit the drawing against the network
Decorative walls should preserve the intended connections. An accidental gap may create a shortcut, while an extra wall may remove every solution. Trace every permitted route systematically before judging the artwork.
This exercise stays on paper and uses fictional locations. It is not advice for navigating real buildings, outdoor mazes or unfamiliar places. A valid paper puzzle does not establish the safety of a physical route.
Only if you feel like trying
Design and audit a small letter maze.
- Draw the supplied five-link maze using circles and lines, then trace its three-link solution.
- Add D–Exit and compare the two solution lengths.
- Decorate a second drawing while keeping the same connections; check that no extra passage has appeared.
Optional. Use the supplied fictional example, pencil and paper, or explain your choices aloud. No personal story, account, purchase, public sharing or contact is needed.
Look at the sources.
These references offer further reading on the ideas here. Check who published them, what they support and what you would ask next.
- NRICH, University of CambridgeMaze 100
Research checked 1 November 2026. External pages have their own content and privacy practices.
Where could this connect?
These are editorial links between subjects. You choose which, if any, to follow.
Algorithms & Debugging
Tracing branches systematically can reveal a missing connection or unintended shortcut.
Follow this connectionGames
A maze combines a goal with explicit permitted moves and decision points.
Follow this connectionTransport Networks & Routes
Both route diagrams and mazes distinguish connected paths from their visual arrangement.
Follow this connection