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3D model of an equilateral square pyramid. If all triangular edges are of equal length, the four triangles are equilateral, and the pyramid's faces are all regular polygons, it is an equilateral square pyramid. [13]
[17] [18] A tetrahedron or triangular pyramid is an example that has four equilateral triangles, with all edges equal in length, and one of them is considered as the base. Because the faces are regular, it is an example of a Platonic solid and deltahedra, and it has tetrahedral symmetry. [19] [20] A pyramid with the base as circle is known as ...
A hexagonal pyramid has seven vertices, twelve edges, and seven faces. One of its faces is hexagon, a base of the pyramid; six others are triangles. Six of the edges make up the pentagon by connecting its six vertices, and the other six edges are known as the lateral edges of the pyramid, meeting at the seventh vertex called the apex.
3D model of a pentagonal pyramid When all edges are equal in length, the five triangular faces are equilateral and the base is a regular pentagon. Because this pyramid remains convex and all of its faces are regular polygons , it is classified as the second Johnson solid J 2 {\displaystyle J_{2}} . [ 7 ]
A space-filling tetrahedral disphenoid inside a cube. Two edges have dihedral angles of 90°, and four edges have dihedral angles of 60°. A disphenoid is a tetrahedron with four congruent triangles as faces; the triangles necessarily have all angles acute. The regular tetrahedron is a special case of a disphenoid.
3D model of an elongated pentagonal pyramid In geometry , the elongated pentagonal pyramid is one of the Johnson solids ( J 9 ). As the name suggests, it can be constructed by elongating a pentagonal pyramid ( J 2 ) by attaching a pentagonal prism to its base.
3D model of a pentagonal bipyramid as a Johnson solid If the pyramids are regular, all edges of the triangular bipyramid are equal in length, making up the faces equilateral triangles . A polyhedron with only equilateral triangles as faces is called a deltahedron . [ 9 ]
A dodecagonal pyramid is a pyramid with a dodecagonal base. It is a type of tridecahedron, which has 13 faces , 24 edges , and 13 vertices , and its dual polyhedron is itself. [ 5 ] A regular dodecagonal pyramid is a dodecagonal pyramid whose base is a regular dodecagon.
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