Möbius Mazes
Explore the concept of Möbius strip mazes by understanding their single-sided surface and how to create them using a custom grid class. Learn techniques to design mazes that wrap with a 180° twist, visualize the grid layout, and align maze edges properly. This lesson guides you through generating the maze on a doubled-width grid and rendering it for practical folding and assembly, enabling you to create and experiment with these distinctive puzzle structures.
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Comprehending Mobius mazes
A Möbius strip (sometimes spelled Moebius, or Möbius) is a novel surface with only a single side. You can make one easily by taking a strip of paper, giving one end a 180° twist, and then taping the two ends together. The result (assuming we used checkered paper) would look something like this:
An ant crawling along the surface of this strip of paper would find that it had traversed both sides before returning to its starting point. Like magic!
This appears to be a very suitable surface for a maze design, and it turns out that we can do so with very little effort. It’s actually very much like a cylinder maze, but with a twist—literally! We need to take that cylinder maze and give it a 180° twist. That's where we face a challenge. A cylinder maze only needs to exist on a single side of the paper since it ...