# Wolfram Language & System 10.4 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
BUILT-IN WOLFRAM LANGUAGE SYMBOL

# Ellipsoid

Ellipsoid[p,{r1,}]
represents an axis-aligned ellipsoid centered at the point p and with semiaxes lengths .

Ellipsoid[p,Σ]
represents an ellipsoid centered at p and weight matrix Σ.

## DetailsDetails

• Ellipsoid is also known as center interval, ellipse, and hyperellipsoid.
• Ellipsoid can be used as a geometric region and a graphics primitive.
• Ellipsoid represents the axis-aligned filled ellipsoid or general ellipsoid .
• Ellipsoid allows p to be any point in , any positive real numbers, and Σ any real symmetric positive definite matrix.
• Ellipsoid can be used in Graphics and Graphics3D.
• In graphics, the points p, , and radii can be Scaled and Dynamic expressions.
• Graphics rendering is affected by directives such as FaceForm, Specularity, Opacity, and color.

## ExamplesExamplesopen allclose all

### Basic Examples  (2)Basic Examples  (2)

An axis-aligned ellipsoid in 3D:

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In 2D:

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Measure and centroid:

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