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.
| Set of pyramidal right n-gonal frustums | |
|---|---|
  Examples: right pentagonal and square frustums (n = 5 and n = 4) | |
| Faces | n isosceles trapezoids, 2 regular n-gons |
| Edges | 3n |
| Vertices | 2n |
| Symmetry group | Cnv, [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.
