Chapter 7: COMPOSITIONS OF ISOMETRIES



Largely based on the representation of a translation or rotation as the composition of two reflections, Chapter 7 thoroughly (and purely geometrically) investigates compositions of isometries; although this investigation is often carried out in the context of a wallpaper pattern, it should be possible to study this chapter independently of the rest of the book. Section 7.0 offers a more 'empirical' way of determining isometry composition, and is therefore largely independent of the rest of the chapter.