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  2. Square pyramid - Wikipedia

    en.wikipedia.org/wiki/Square_pyramid

    A polyhedron's surface area is the sum of the areas of its faces. The surface area of a right square pyramid can be expressed as = +, where and are the areas of one of its triangles and its base, respectively. The area of a triangle is half of the product of its base and side, with the area of a square being the length of the side squared.

  3. Pyramid (geometry) - Wikipedia

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

    4-dimensional hyperpyramid with a cube as base. The hyperpyramid is the generalization of a pyramid in n-dimensional space. In the case of the pyramid, one connects all vertices of the base, a polygon in a plane, to a point outside the plane, which is the peak. The pyramid's height is the distance of the peak from the plane.

  4. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    Its surface area is four times the area of an equilateral triangle: = =. [7] Its volume can be ascertained similarly as the other pyramids, one-third of the base times height. Because the base is an equilateral, it is: [ 7 ] V = 1 3 ⋅ ( 3 4 a 2 ) ⋅ 6 3 a = a 3 6 2 ≈ 0.118 a 3 . {\displaystyle V={\frac {1}{3}}\cdot \left({\frac {\sqrt {3 ...

  5. Hyperpyramid - Wikipedia

    en.wikipedia.org/wiki/Hyperpyramid

    2-dimensional hyperpyramid with a line segment as base 4-dimensional hyperpyramid with a cube as base. In geometry, a hyperpyramid is a generalisation of the normal pyramid to n dimensions. In the case of the pyramid one connects all vertices of the base (a polygon in a plane) to a point outside the plane, which is the peak. The pyramid's ...

  6. Types of mesh - Wikipedia

    en.wikipedia.org/wiki/Types_of_mesh

    The basic 3-dimensional element are the tetrahedron, quadrilateral pyramid, triangular prism, and hexahedron. They all have triangular and quadrilateral faces. Extruded 2-dimensional models may be represented entirely by the prisms and hexahedra as extruded triangles and quadrilaterals. In general, quadrilateral faces in 3-dimensions may not be ...

  7. Pyramid - Wikipedia

    en.wikipedia.org/wiki/Pyramid

    Its base covers an area of around 53,000 square metres (570,000 sq ft). The Great Pyramid is the only extant one of the Seven Wonders of the Ancient World . Ancient Egyptian pyramids were, in most cases, placed west of the river Nile because the divine pharaoh's soul was meant to join with the sun during its descent before continuing with the ...

  8. Triangular bipyramid - Wikipedia

    en.wikipedia.org/wiki/Triangular_bipyramid

    If the tetrahedra are regular, all edges of a triangular bipyramid are equal in length and form equilateral triangular faces. A polyhedron with only equilateral triangles as faces is called a deltahedron. There are eight convex deltahedra, one of which is a triangular bipyramid with regular polygonal faces. [1]

  9. Pyramidal number - Wikipedia

    en.wikipedia.org/wiki/Pyramidal_number

    Geometric representation of the square pyramidal number 1 + 4 + 9 + 16 = 30. A pyramidal number is the number of points in a pyramid with a polygonal base and triangular sides. [1] The term often refers to square pyramidal numbers, which have a square base with four sides, but it can also refer to a pyramid with any number of sides. [2]

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