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A right pyramid is a pyramid where the base is circumscribed about the circle and the altitude of the pyramid meets at the circle's center. [12] This pyramid may be classified based on the regularity of its bases. A pyramid with a regular polygon as the base is called a regular pyramid. [13] For the pyramid with an n-sided regular base, it has ...
Square pyramid. In geometry, a square pyramid is a pyramid with a square base, having a total of five faces. If the apex of the pyramid is directly above the center of the square, it is a right square pyramid with four isosceles triangles; otherwise, it is an oblique square pyramid. When all of the pyramid's edges are equal in length, its ...
self-dual. Net. 3D model of a regular tetrahedron. In geometry, a tetrahedron ( pl.: tetrahedra or tetrahedrons ), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertices. The tetrahedron is the simplest of all the ordinary convex polyhedra.
Like other right pyramids with a regular polygon as a base, this pyramid has pyramidal symmetry of cyclic group: the pyramid is left invariant by rotations of one, two, three, four, and five in six of a full turn around its axis of symmetry, the line connecting the apex to the center of the base.
A pentagonal pyramid is said to be regular if its base is circumscribed in a circle that forms a regular pentagon, and it is said to be right if its altitude is erected perpendicularly to the base's center. [4] Like other right pyramids with a regular polygon as a base, this pyramid has pyramidal symmetry of cyclic group: the pyramid is left ...
It is called regular if its base is a regular polygon. [1] When the base is a regular polygon and the apices are on the perpendicular line through its center (a regular right bipyramid) then all of its faces are isosceles triangles; sometimes the name bipyramid refers specifically to symmetric regular right bipyramids, [3] Examples of such ...
Frustum. 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 ...
Prism (geometry) In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.