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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.
A right pyramid is a pyramid whose base is circumscribed about a circle and the altitude of the pyramid meets the base at the circle's center; otherwise, it is oblique. [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]
A hexagonal bipyramid is a polyhedron formed from two hexagonal pyramids joined at their bases. The resulting solid has 12 triangular faces , 8 vertices and 18 edges. The 12 faces are identical isosceles triangles .
English: A geometric net of an hexagonal pyramid. The base is a regular hexagon. The lateral faces are isosceles triangles. Created using GeoGebra. Date:
The 6 roots of the simple Lie group A2, represented by a Dynkin diagram, are in a regular hexagonal pattern. The two simple roots have a 120° angle between them. The 12 roots of the Exceptional Lie group G2, represented by a Dynkin diagram are also in a hexagonal pattern. The two simple roots of two lengths have a 150° angle between them.
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Top left to bottom right: hexagonal pyramid as the family of prismatoids, truncated tetrahedron as the family of Archimedean solids, triakis icosahedron as the family of Catalan solids, and triaugmented triangular prism as the family of both deltahedrons and Johnson solids. All of these classes are convex polyhedrons.
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