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  2. Frustum - Wikipedia

    en.wikipedia.org/wiki/Frustum

    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

  3. Pyramid (geometry) - Wikipedia

    en.wikipedia.org/wiki/Pyramid_(geometry)

    The base regularity of a pyramid's base may be classified based on the type of polygon: one example is the star pyramid in which its base is the regular star polygon. [28] The truncated pyramid is a pyramid cut off by a plane; if the truncation plane is parallel to the base of a pyramid, it is called a frustum.

  4. Truncated triangular pyramid number - Wikipedia

    en.wikipedia.org/wiki/Truncated_Triangular...

    A pyramid with side length 5 contains 35 spheres. Each layer represents one of the first five triangular numbers. A truncated triangular pyramid number [1] is found by removing some smaller tetrahedral number (or triangular pyramidal number) from each of the vertices of a bigger tetrahedral number.

  5. Truncation (geometry) - Wikipedia

    en.wikipedia.org/wiki/Truncation_(geometry)

    Types of truncation on a square, {4}, showing red original edges, and new truncated edges in cyan. A uniform truncated square is a regular octagon, t{4}={8}. A complete truncated square becomes a new square, with a diagonal orientation. Vertices are sequenced around counterclockwise, 1-4, with truncated pairs of vertices as a and b.

  6. Pyramid - Wikipedia

    en.wikipedia.org/wiki/Pyramid

    Pyramid of Khafre, Egypt, built c. 2600 BC. A pyramid (from Ancient Greek πυραμίς (puramís) ' pyramid ') [1] [2] is a structure whose visible surfaces are triangular in broad outline and converge toward the top, making the appearance roughly a pyramid in the geometric sense.

  7. Great Seal of the United States - Wikipedia

    en.wikipedia.org/wiki/Great_Seal_of_the_United...

    The obverse of the Great Seal depicts the national coat of arms of the United States [1] while the reverse features a truncated pyramid topped by an Eye of Providence. The year of the U.S. Declaration of Independence, 1776, is noted in Roman numerals at the base of the pyramid.

  8. Cone - Wikipedia

    en.wikipedia.org/wiki/Cone

    Illustration from Problemata mathematica... published in Acta Eruditorum, 1734 A cone truncated by an inclined plane. A cone with a region including its apex cut off by a plane is called a truncated cone; if the truncation plane is parallel to the cone's base, it is called a frustum. [1] An elliptical cone is a cone with an elliptical base. [1]

  9. Truncated octahedron - Wikipedia

    en.wikipedia.org/wiki/Truncated_octahedron

    In geometry, the truncated octahedron is the Archimedean solid that arises from a regular octahedron by removing six pyramids, one at each of the octahedron's vertices. The truncated octahedron has 14 faces (8 regular hexagons and 6 squares), 36 edges, and 24 vertices. Since each of its faces has point symmetry the truncated octahedron is a 6 ...