ellipsoid
Sign in to savethumb|Examples of ellipsoids with equation :
AI overview
An ellipsoid is a 3D shape similar to a stretched or squashed sphere, described by a mathematical equation where three different measurements determine its size along different directions. It matters because many objects in nature and science—from planets to atomic nuclei—approximate this shape, making it useful for understanding the physical world.
AI-generated from the Wikipedia summary — may contain errors.
Article
27 sectionsContents
- Standard equation
- Parameterization
- Volume
- Surface area
- Approximate formula
- Plane sections
- Determining the ellipse of a plane section
- Pins-and-string construction
- Steps of the construction
- Semi-axes
- Converse
- Confocal ellipsoids
- Limit case, ellipsoid of revolution
- Properties of the focal hyperbola
- Property of the focal ellipse
- In higher dimensions and general position {{anchor|In higher dimensions|Ellipsoids in higher dimensions and general position}}
- As a quadric
- Parametric representation
- Applications
- Computer science
- Dynamical properties
- Fluid dynamics
- In probability and statistics
- See also
- Notes
- References
- External links
thumb|Examples of ellipsoids with equation :
An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation.