E. Roanes-Macias and E. Roanes-Lozano* (Spain), eroanes@eucmos.sim.ucm.es
About how to implement Geometric Transformations on a CAS

The purpose of this paper is to give the basic ideas about how to elaborate an
implementation on a CAS of the transformations in the 3-dimensional real
Euclidean space. These transformations could be defined in three optional ways:
in synthetic mode, by its equations, or by taking a given list of points into
another one. We also describe how to classify the product transformations, find
fixed planes, split isometries as product of reflections and obtain a plot of a
polygonal line and its image. Some practical and didactic comments are
included. We also describe our implementation in Maple V.