Chapter 6. Two-Dimensional Graphics and Plots
I’ve been looking so long at these pictures of you that I almost believe that they’re real I’ve been living so long with my pictures of you that I almost believe that the pictures are all I can feel
—The Cure, “Pictures of You”
One of the features that places Mathematica in a class by itself
among similar computer-aided mathematics tools is its advanced graphics
capabilities. This chapter focuses on two-dimensional graphics.
Mathematica provides a variety of plotting functions with a versatile
set of options for customizing their display. The most common types of
2D graphic are the plot of a function and list plots of values. 6.1 Plotting Functions in Cartesian Coordinates covers
Plot and 6.4 Plotting Data
ListPlot. Frequently you will
want to use other coordinate systems or scales. In two dimensions,
ParametricPlot are often used as demonstrated
in 6.1 Plotting Functions in Cartesian Coordinates and 6.2 Plotting in Polar Coordinates.
True to its symbolic nature, Mathematica represents all graphics
as collections of graphics primitives and directives. Primitives include
objects such as
Line; directives provide styling information
Hue. Mathematica allows you to work with the
low-level primitives (see 6.8 Displaying 2D Geometric Shapes), but most readers will be
interested in the higher-level functions like
ListPlot, which generate graphics from functions ...