Outline

Composition of Isometries

These are a set of interactive computer experiments. Each experiment's goal is to find, for each 2-combination of {Translation, Reflection, rotation}, a single transformation {Translation, Reflection, rotation, Other} that is equivalent to that 2-combination. Additional goals are to determine if the order of transformations from each 2-combination Example of a 2-combination would be {rotation, Translation}. Under such a titled experiment we investigate the application of a rotation followed by a translation and a translation followed by a rotation. We use the Perpendicular Bisector Test between the initial object and finial object to determine