ABSTRACT

To help introduce us to the concept of groups, let us meet a triangle whose dance steps give us the first example of a group. Terry the triangle is a simple looking three-colored triangle that appears by the Mathematica©R command

ShowTerry

Terry can perform the dance steps listed in table 1.1. Although Mathematica animates these dance steps, one can understand the six steps without Mathematica by observing scenes in figure 1.1, taken from the animation close to the completion of each step.