Dimension: The dimension class is basically how many dimensions in space the Maze covers. Types are:
•2D: Most Mazes, either on paper or life size, are this dimension, in which it's always possible to display the plan on the sheet of paper and navigate it without overlapping any other passages in the Maze.
•3D: A three dimensional Maze is one with multiple levels, where (in the orthogonal case at least) passages may go up and down in addition to the four compass directions. A 3D Maze is often displayed as an array of 2D levels, with "up" and "down" staircase indicators.
•Higher dimensions: It's possible to have 4D and higher dimension Mazes. These are sometimes rendered as 3D Mazes, with special "portals" to travel through the 4th dimension, e.g. "past" and "future" portals.
•Weave: A weave Maze is basically a 2D (or more accurately a 2.5D) Maze, but where passages can overlap each other. In display it's generally obvious what's a dead end and what's a passage that goes underneath another. Life size Mazes that have bridges connecting one portion of the Maze to another are partially Weave.