Understanding Dimensions
The word “dimension” in phrases like “two-dimensional” or “three-dimensional” refers to the number of coordinates needed to specify any point within some space. In the case of our two-dimensional mazes, we’ve described those points (or cells) in terms of rows and columns—two coordinates, hence, two dimensions.
If you take away all dimensions, removing all coordinates, you’ve discovered a zero-dimensional space. Such spaces seem exceedingly Zen-like, having no sense of location, but only of being. (Whoa. Dude!) In terms of our mazes, a single cell is a zero-dimensional space because without the context of other cells, it has no concept of location. You can’t go anywhere from such a free-standing cell. It’s not very exciting ...
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