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4 page maze ft. portals!

Puzzling Asked by thesilican on September 4, 2021

I found a large 4-page maze that I made a while back. Made entirely with pen and grid paper.

picture of maze

Here’s a digitally scanned and cleaned-up version

digitally edited maze

Your goal is to find a path from the start to the finish, picking up the key along the way.

3 Answers

Following the illustrated paths:

We can go:

Correct answer by Avi on September 4, 2021

Another solution, unless I missed a wall somewhere (follow the red path, ignore the yellow)

Path:

Answered by pfg on September 4, 2021

While this maze is already well solved by Avi and (alternatively) pfg it also provides an excellent example for demonstrating a general solving technique of highlighting some walls in order to divide a maze into sections. Here are some good places to begin highlighting this maze.

Normally each of these beginnings would be highlighted much further before moving on to the next one, culminating with a partitioning into outlined sections with narrow entries and exits.

On this maze these highlit-walled-off sections first make clear how to reach the Key (black dot), working backward from it.

Then it is clear how to reach Finish, working backward from there.

Note that a shorter path from Start to Finish is revealed as well that uses Red and Yellow portals but fails to visit the Key.

Some benefits of highlighting maze walls

  • Highlighting any medium-length or long winding wall is useful. Interesting branch points along the way may be marked with thick dots that are easy to find and continue from later.

  • No need for erasing. Highlighted walls can only help, as long as highlighting is judiciously discontinued in any area that begins to form a thicket of highlights, in which case the result still causes no harm.

  • It is surprisingly easy to scan fairly far ahead before deciding to highlight a specific portion of wall.

  • Highlighted walls break up a large maze into smaller mazes that are each easier to solve.

  • Highlighting a wall is a stress-free way, with no chance of mistakes, to explore and annotate a maze.

  • Walls reveal much of the methodology behind a maze’s construction.

Answered by humn on September 4, 2021

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