cover image

Frustum

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

Dear Wikiwand AI, let's keep it short by simply answering these key questions:

Can you list the top facts and stats about Frustum?

Summarize this article for a 10 years old

SHOW ALL QUESTIONS

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
Pentagonal_frustum.svgUsech_kvadrat_piramid.png
Examples: right pentagonal and square frustums
(n = 5 and n = 4)
Facesn isosceles trapezoids, 2 regular n-gons
Edges3n
Vertices2n
Symmetry groupCnv, [1,n], (*nn)
Dual polyhedronconvex asymmetric right n-gonal bipyramid
Propertiesconvex
Net
Net_of_right_trigonal_frustum.png
Example: net of right trigonal frustum (n = 3)
Close

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.

Kegelstumpf.svg