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Mazes

Double Maze Puzzles

Two interlinked mazes that must be solved simultaneously.

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Two 11×11 mazes, medium on A4.

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Two mini mazes — solve both with pencils that move in lockstep.

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What this tool does

Two mazes, side by side on one page, generated independently from the same seed. Race a friend, race yourself, or take one in each hand. Grids from 8 to 16, three difficulties, and an optional page showing both routes.

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Two mazes, one page

Maze A on the left, Maze B on the right, both the same size and both printed on a single sheet. They are carved separately, so the two routes have nothing to do with each other. Neither is a mirror or a variation of the other.

That arrangement is more useful than it sounds. One sheet becomes a race between two children who cannot look over and copy, or a two-round challenge for one solver, or the two-handed coordination stunt of running a pencil through each maze while alternating attention between them — which is properly difficult and takes most adults a couple of attempts.

A note on what this is not

Some puzzle books print a pair of mazes designed so that one sequence of moves solves both at once, with each pencil obliged to travel in the same direction on every step. This is not that puzzle. The two grids here are generated independently, and a single shared move sequence will not get you through both. Solve them as two mazes; the challenge is the coordination, not a hidden shared route.

On the form

  • Size — 8, 10, 12, 14 or 16 cells to a side. Both mazes get the same size. Remember each one is printed at roughly half page width, so 16 is small on paper.
  • Difficulty — applied to both sides. It sets how often the carver turns, so easy leaves long corridors with few junctions and hard turns wherever the grid allows.
  • Include solution page — a second sheet showing both routes.
  • Seed — reproduces the exact pair. Useful when you want a whole class racing identical sheets.
  • Paper size — A4 or US Letter.

How to run it as a race

Fold the sheet down the middle and give one half to each player, or hand out whole sheets and set a timer for both mazes.

Because the seed reproduces the pair exactly, a class can be given the same two mazes and their times are genuinely comparable — something that quietly fails with randomly generated sheets, where one child gets a lucky short route and the comparison means nothing.

How they are built

Each side is a depth-first recursive backtracker run over its own square grid, seeded from your seed and from that seed offset by a fixed amount. Both are perfect mazes: one route from corner to corner, no loops, nothing walled off.

Print at 100%. At size 16 the cells are already small; letting the printer shrink them to fit makes the pencil work fiddly.

FAQs

Quick answers

How do you solve a double maze?

Start both pencils at the start cells. Move them both in the same direction at each step (up/down/left/right). The puzzle is finding a sequence that gets both pencils to their finishes.

Are the two mazes related?

They share a seed but are otherwise independent. v1 prints them side-by-side; future versions will lock the carving so directions match more often.

Can I print the solutions?

Yes. The solution page shows each maze's individual route. (Coordinated double-solution overlay is not in v1.)

How big can it go?

Up to 18×18 per maze.

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