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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. [24] 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.
The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron, the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid".
A satellite pyramid, suggested by some Egyptologists to have been built to house the pharaoh's ka, is located 55 metres (180 ft) south of the Bent Pyramid. [21] The satellite pyramid originally measured 26 metres (85 ft) in height and 52.80 metres (173.2 ft) in length, with faces inclining 44°30'.
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).
Pentagonal pyramids can be found in a small stellated dodecahedron. Pentagonal pyramids can be found as components of many polyhedrons. Attaching its base to the pentagonal face of another polyhedron is an example of the construction process known as augmentation, and attaching it to prisms or antiprisms is known as elongation or gyroelongation, respectively. [11]
The tetrahedral pyramid is a special case of a 5-cell, a polyhedral pyramid, constructed as a regular tetrahedron base in a 3-space hyperplane, and an apex point above the hyperplane. The four sides of the pyramid are made of triangular pyramid cells. Many uniform 5-polytopes have tetrahedral pyramid vertex figures with Schläfli symbols ( )∨ ...
The pyramid originally would have had three steps. Today it is 5.1 metres tall, but the original height would have been between 20 and 24 cubits (10.46 - 12.55 m). To deal with the irregular ground level, the pyramid was built on a square platform, which measured 23.7 metres on each side. The sides of the pyramid itself were 18.46 metres long.
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 triangles are all ...