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Understanding Dimensions

Explore the concept of dimensions in maze generation, moving from two-dimensional grids to three and four dimensions. Understand how to adapt grid data structures and maze algorithms for higher dimensions, and visualize complex maze forms beyond flat surfaces.

A general idea of dimensions

All of the mazes we’ve generated to this point have been essentially flat, glued securely to the surface of a plane. Navigating these mazes, regardless of whether they are regular, polar, hex, or triangle grids, we only ever have the option of moving in two dimensions: north or south, east or west, or some combination of those.

It’s true that weave mazes try to escape that constraint a little and do briefly manage to lift portions of their passages above that plane by moving over or under other passages. Still, most of the weave maze remains sadly two-dimensional. We might say that, at best, a weave maze is two-and-a-half-dimensional. ...