The interesting thing about this matrix chaining is that a new coordinate system is defined by each such transformation. This can be extended as desired. For example, the propeller of the aircraft may be a separate model, which is then placed by translation to the aircraft nose. This translation only needs to describe the shift from the model coordinate system to the propeller coordinate system. In order to draw the entire aircraft, the transformation matrix for the aircraft is first determined, the points are transformed, and then the propeller model matrix is multiplied to the matrix of the aircraft, and then the propeller points are transformed.