This demonstration illustrates the temporal slices of a moving frame. Use the slider to choose the velocity of the moving frame. Then observe how the $t^\prime$-axis (labelled $x^\prime=0$ in the diagram because it represents all moments in time located at position $x^\prime=0$) rotates. Notice that the angle of rotation is always less than 45º, reflecting that $v$ is always less than $c$. Next, click the button to show temporal slices at other locations in space (i.e., for other values of $x^\prime$) in the moving frame. Finally, use the slider to vary the velocity of the moving frame and notice how the temporal slices rotate.
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