Visualization with Mathematica

Mathematica makes it easy to create stunning visual images.

This creates a 3D parametric plot with automatic choices for most options.

Here is the same plot with a variety of specific choices for options.

Mathematica can also generate sound.

This plays a "whoosh" sound with the specified waveform.

For more examples of sounds, look at the Sound Gallery.

Mathematica includes primitives from which you can build up 2D and 3D graphics of any complexity.

Here is a list of point primitives.

g=Flatten[Table[Point[{p/q,Denominator[p/q]}],{q,100},{p,q-1}]];

Here are the first five elements in the list.

Take[%,5]

{Point[{12,2}],Point[{13,3}],Point[{23,3}],Point[{14,4}],Point[{12,2}]}

This is the corresponding 2D graphic.

This generates a list of 3D cuboid primitives.

g=Flatten[Table[If[BitAnd[x,y,z]⩵0,Cuboid[{x,y,z}],{}],{x,0,15},{y,0,15},{z,0,15}]];

Here are the first five elements in the list.

This shows the graphics corresponding to the list of primitives.

Mathematica lets you produce animated movies as well as static graphics.

Double-click the graphic to start the animation.

Here is another animation.

Mathematica has made possible many new kinds of scientific, technical and artistic images.

Follow these links to see more examples:
2D Graphics
3D Graphics
Art Images
Animations
Diagrams and Objects