Using an old German tale, we introduce 2D and 3D local and global coordinate systems and how they are applied. The notation that will be used throughout the book is introduced. Minmax boxes are defined for representing the transformations between the coordinate systems. We introduce the concept of a parameter. The aspect ratio of a minmax box is defined and applications are discussed. An application of 3D tactile digitizing is described to motivate the importance of coordinate systems. This digitization process generates a point cloud. Sketches and figures illustrate the concepts.