TABLE OF CONTENTS Mathematica contains a rich set of tools for visualizing functions and data. Generally the built-in graphics functions will provide what you need, but, just like the rest of the Mathematica programming language, you will periodically find yourself with the need to create your own plotting and visualization routines. In this chapter we will discuss how to construct graphical images using Mathematica, and how to write programs that solve problems that are graphical in nature.
All Mathematica graphics are constructed from objects called graphics primitives. These primitive elements ( Point, Line, Polygon, Circle, etc.) are used by built-in functions such as Plot to create graphics. Although it is quite straightforward to create images using Mathematica's built-in functions, you will frequently find yourself having to create a graphic image for which no Mathematica function exists. This is analogous to the situation in programming where you often have to write a specialized procedure to solve a particular problem. We use the basic building blocks and put them together according to the rules governing the structure of the language and the nature of the problem at hand. In this section we will look at the building blocks of graphics programming and at how we put them together to make graphics.
Graphics created with functions such as Plot and ListPlot are constructed of lines connecting points, with options governing the display. We can get some insight...
