# Frustum

## Portion of a solid that lies between two parallel planes cutting this solid. / From Wikipedia, the free encyclopedia

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In geometry, a **frustum** (Latin for 'morsel');[lower-alpha 1] (PL: **frusta** or **frustums**) is the portion of a solid (normally a pyramid or a cone) that lies between two parallel planes cutting this solid. In the case of a pyramid, the base faces are polygonal and the side faces are trapezoidal. A **right** frustum is a right pyramid or a right cone truncated perpendicularly to its axis;[3] otherwise, it is an **oblique** frustum.

**Quick facts: Set of pyramidal right n-gonal frustums, Face...**▼

Set of pyramidal right n-gonal frustums | |
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Faces | n isosceles trapezoids, 2 regular n-gons |

Edges | 3n |

Vertices | 2n |

Symmetry group | C_{nv}, [1,n], (*nn) |

Dual polyhedron | convex asymmetric right n-gonal bipyramid |

Properties | convex |

Net | |

Example: net of right trigonal frustum (n = 3) |

If all its edges are forced to become of the same length, then a frustum becomes a prism (possibly oblique or/and with irregular bases).

In computer graphics, the viewing frustum is the three-dimensional region which is visible on the screen. It is formed by a clipped pyramid; in particular, *frustum culling* is a method of hidden-surface determination.

In the aerospace industry, a frustum is the fairing between two stages of a multistage rocket (such as the Saturn V), which is shaped like a truncated cone.