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The following pictures show a clear difference between a 2D and a 3D map.

Chessboard A sphere sculpted out shrink-wrapped of a piece of onto a sphere. chess blocks.Comments:
A 3D map depends on the x-y-z coordinate system. Transforming an object will transform a 3D map only when it is assigned to the same tag or a lower tag in the GIG tree.
When a map is created in the Texture Editor the label of a Map Frame displays besides the map name also a text string such as "2D Map", "3D Map", or "2D - 3D Map". This tells the type of the map, whether it is a 2D map, 3D map, or a combination of both.
3D maps can be converted to 2D maps and vice versa. This might be done in GIG using the transform menu.