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Frustum information


Set of pyramidal right n-gonal frustums
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 polyhedronasymmetric bipyramid
Propertiesconvex
Net
Example: net of right trigonal frustum (n = 3)

In geometry, a frustum (Latin for 'morsel');[a] (pl.: frusta or frustums) is the portion of a solid (normally a pyramid or a cone) that lies between two parallel planes cutting the 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. In a truncated cone or truncated pyramid, the truncation plane is not necessarily parallel to the cone's base, as in a frustum. 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).

  1. ^ Clark, John Spencer (1895). Teachers' Manual: Books I–VIII. For Prang's complete course in form-study and drawing, Books 7–8. Prang Educational Company. p. 49.
  2. ^ Fontaine, Michael (2010). Funny Words in Plautine Comedy. Oxford University Press. pp. 117, 154. ISBN 9780195341447.
  3. ^ Kern, William F.; Bland, James R. (1938). Solid Mensuration with Proofs. p. 67.


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parallel surfaces. They may be more generally described as a mix between a frustum and a prismatoid. The object was first described by Gómez-Gálvez et al...

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clipping planes are used; The visual volume is therefore a truncated pyramid (frustum). The parallel or orthogonal projection is used, for example, for technical...

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product of the area of the base and the height; however, the volume of the frustum of a cone or a square pyramid was incorrectly taken as the product of the...

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weighing 1 kg (2.2 lb). Other bases may be used, such as an octagon, or a frustum with a star section shape more common to pandoro. It is made during a long...

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a nose radius of 2.34 cm, a forward frustum half-angle of 10.4°, an inter-frustum radius of 14.6 cm, aft frustum half angle of 6°, and an axial length...

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a nose radius of 2.34 cm, a forward-frustum half-angle of 10.4°, an inter-frustum radius of 14.6 cm, aft-frustum half-angle of 6°, and an axial length...

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A Pepper's ghost illusion made from a clear plastic frustum...

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in finding the volume of a frustum of a pyramid or cone. The volume is equal to the product of the height of the frustum and the Heronian mean of the...

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render less objects through the common optimisation technique of Viewing-frustum culling. Many PC games that are released after 2000 are ported from consoles...

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many rendering algorithms, they are used for viewing frustum tests. If the ray or viewing frustum does not intersect the bounding volume, it cannot intersect...

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usually the view frustum. Clip plane A plane used to clip rendering primitives in a graphics pipeline. These may define the View frustum or be used for...

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Gear

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any need for different bearings. A bevel gear is shaped like a conical frustum (a right circular cone with most of the tip cut off). When two bevel gears...

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