Chapter 3

Lining Up: 2D Lines

“Real” objects are three-dimensional, or 3D. So why should we consider 2D objects, such as the 2D lines in this chapter? Because they really are the building blocks for geometric constructions and play a key role in many applications. We’ll look at various representations for lines, where each is suited for particular applications. Once we can represent a line, we can perform intersections and determine distances from a line.

Figure 3.1 shows how interesting playing with lines can be. Two sets of parallel lines are overlaid and the resulting interference pattern is called a Moiré pattern. Such patterns are used in optics for checking the properties of lenses.

Figure 3.1

Moiré patterns: overlaying two sets of lines ...

Get Practical Linear Algebra, 3rd Edition now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.