A 2D to 3D coordinate transformation is a mathematical operation that converts the coordinates of a 2D point to a set of coordinates in 3D space. This allows for the representation of 2D shapes in a 3D environment, and enables the manipulation of 2D objects in a way that gives them a third dimension. To perform a 2D to 3D coordinate transformation, the x and y coordinates of a 2D point are typically extended to include a third z coordinate, which represents the point’s position in the third dimension. This can be achieved through a variety of methods, such as rotating the 2D point around one of its axes or translating it along the z axis. The specific method used will depend on the desired end result and the geometric transformation being applied to the 2D point.