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A frustum (plural: frusta or frustums) is the portion of a solid—normally a cone or pyramid—which lies between two parallel planes cutting the solid. The term is commonly used in computer graphics to describe the 3d area which is visible on the screen (which is formed by a clipped pyramid).

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  • Frustum
rdfs:comment
  • A frustum (plural: frusta or frustums) is the portion of a solid—normally a cone or pyramid—which lies between two parallel planes cutting the solid. The term is commonly used in computer graphics to describe the 3d area which is visible on the screen (which is formed by a clipped pyramid).
  • A frustum is the portion of a solid – normally a cone or pyramid – which lies between two parallel planes cutting the solid. Degenerate cases are obtained for finite solids by cutting with a single plane only. Pyramidal frusta are a subclass of the prismatoids. The formula for the volume of the frustum is An example of a pyramidal frustum may be seen on the reverse of the Great Seal of the United States, as on the back of the U.S. one-dollar bill. The "unfinished pyramid" is surmounted by the "eye of providence". Certain ancient Native American mounds also form the frustum of a pyramid.
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  • ConicalFrustum
  • PyramidalFrustum
Title
  • Conical frustum
  • Pyramidal frustum
abstract
  • A frustum (plural: frusta or frustums) is the portion of a solid—normally a cone or pyramid—which lies between two parallel planes cutting the solid. The term is commonly used in computer graphics to describe the 3d area which is visible on the screen (which is formed by a clipped pyramid).
  • A frustum is the portion of a solid – normally a cone or pyramid – which lies between two parallel planes cutting the solid. Degenerate cases are obtained for finite solids by cutting with a single plane only. Pyramidal frusta are a subclass of the prismatoids. The formula for the volume of the frustum is where h is the height from the top base to the bottom base, B1 is the area of the bottom base, and B2 is the area of the top base. A more intuitive formula is: the volume of the cone (or other figure) before you chopped the top off, minus the volume of the cone (or other figure) that you chopped off. An example of a pyramidal frustum may be seen on the reverse of the Great Seal of the United States, as on the back of the U.S. one-dollar bill. The "unfinished pyramid" is surmounted by the "eye of providence". Certain ancient Native American mounds also form the frustum of a pyramid. The focal field of a still or video camera forms a frustum. In 3D computer graphics, this is called the viewing frustum. The spelling frustrum, listed as "erroneous" by the Oxford English Dictionary, is frequently encountered and might be considered a variant. The OED gives both frusta and frustums for the plural.
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