Examples for

Curves & Surfaces

Curves and surfaces are basic geometric figures embedded in a space. Wolfram|Alpha can visualize curves in 2D or 3D and visualize surfaces in 3D in addition to computing their properties and parameterizations.

Plane Curves

Visualize plane curves and compute their properties.

Compute properties of a named plane curve:

Compare curves:

Find curves of a given type:

Compute a particular property of a curve:

Compute derived curves:

Space Curves

Visualize curves in 3D space and compute their properties.

Compute properties of a named space curve:

Compute a particular property of a curve:

Popular Curves

Draw curve‐like figures for popular objects using parametric equations.

Learn about the math behind drawing a popular curve:

Get closed-form equations for filled curves:

More examples
Surfaces

Visualize surfaces in 3D space and compute their properties.

Compute properties of a named surface:

Compute a particular property of a surface:

RELATED EXAMPLES

  • Arc Length