Mathematica can be used to make plots of functions. You give Mathematica a function, and it builds up a curve or surface by evaluating the function at many different points. ...

As discussed in "The Structure of Graphics and Sound", Mathematica includes a full graphics programming language. In this language, you can set up many different kinds of ...

ListPlot3D[array] generates a three-dimensional plot of a surface representing an array of height values. ListPlot3D[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] generates a plot ...

PlotStyle is an option for plotting and related functions that specifies styles in which objects are to be drawn.

SymmetricGroup[n] represents the symmetric group of degree n.

Density and contour plots. This gives a density plot of sin(x) sin(y). Lighter regions show higher values of the function. Some options for DensityPlot.

With its core symbolic paradigm and immediate access to sophisticated numerical, symbolic and geometric algorithms, Mathematica is able to provide a uniquely flexible and ...

AlternatingGroup[n] represents the alternating group of degree n.

CyclicGroup[n] represents the cyclic group of degree n.

GroupOrbits[group, {p_1, ...}] returns the orbits of the points p_i under the action of the elements of group.GroupOrbits[group, {p_1, ...}, f] finds the orbits under the ...