Examples for

# Geometry

Geometry is the field of mathematics that studies properties of figures and the underlying space. Wolfram|Alpha has the ability to analyze and compute with geometric figures of different dimensions, including polygons and polyhedra. It can also solve many applied problems using geometry, like tilings or packing problems. Additionally, Wolfram|Alpha can tell you about more advanced areas such as analytic geometry and topology.

Plane Geometry

Compute properties of 2D geometric figures.

#### Compute properties of a triangle with given side lengths:

More examples
Coordinate Geometry

Specify geometric figures by coordinates or algebraic equations.

#### Plot a conic section and identify its type:

More examples
High-Dimensional Geometry

Compute properties of geometric figures with dimensions higher than three.

#### Specify parameters for a high-dimensional object:

Moiré Patterns

Visualize a moiré pattern.

#### Investigate interference patterns with offsets or angles:

More examples
Solid Geometry

Compute properties of 3D geometric figures.

#### Compute properties of a polyhedron:

More examples
Geometric Transformations

Visualize and compute properties for different kinds of geometric transformations.

#### Visualize a reflection in 3D:

More examples
Packing & Covering Problems

Determine the optimal packing of geometric figures or generate estimates using real‐life objects.

#### Estimate the number of objects required to fill a container:

More examples
Polyforms

Compute properties of a class of polyforms.

More examples

### GO FURTHER

Step-by-Step Solutions for Geometry

### RELATED EXAMPLES

• Fractals
• Plotting & Graphics
• Trigonometry
• ### RELATED WOLFRAM RESOURCES

• Community: Geometry
• Data Repository: Geometry
• Curves & Surfaces

Visualize and compute properties of curves and surfaces.

#### Compute properties of a named surface:

More examples
Tilings

Visualize both periodic and nonperiodic tilings.

#### Get information about a nonperiodic tiling:

More examples
Topology

Compute topological properties for various kinds of geometric objects.

#### Compute homotopy groups of a sphere:

More examples