A Useful Form of the Minkowski Diagram Available to Purchase

We give a diagrammatic representation of the diagonal form of the special Lorentz transformation. The null coordinates $x±ct$ are plotted along a single set of orthogonal axes. Special Lorentz transformations are then represented only by a change of scale along those orthogonal axes. This diagram, which we call a null coordinate diagram, and the Minkowski diagram are closely connected. To demonstrate the use of the null coordinate diagram, we apply it to the linear Doppler effect, time dilation, and Lorentz contraction.