Hexagonal pyramid
Encyclopedia
In geometry
, a hexagonal pyramid is a pyramid
with a hexagonal base upon which are erected six triangular
faces that meet at a point (the vertex). Like any pyramid
, it is self-dual
.
A right hexagonal pyramid with a regular hexagon base has C6v symmetry.
A right regular pyramid is the one which has a "regular" hexagon at the base, it is called as a "right" regular pyramid because the line joining the centre of the base to the apex of the pyramid, the line joining the centre of the hexagon base and any of the corners of the hexagon and the line joining that corner of the hexagon and the apex form a right angled triangle.
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, a hexagonal pyramid is a pyramid
Pyramid (geometry)
In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle. It is a conic solid with polygonal base....
with a hexagonal base upon which are erected six triangular
Triangle
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ....
faces that meet at a point (the vertex). Like any pyramid
Pyramid
A pyramid is a structure whose outer surfaces are triangular and converge at a single point. The base of a pyramid can be trilateral, quadrilateral, or any polygon shape, meaning that a pyramid has at least three triangular surfaces...
, it is self-dual
Dual polyhedron
In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. The dual of the dual is the original polyhedron. The dual of a polyhedron with equivalent vertices is one with equivalent faces, and of one with equivalent edges is another...
.
A right hexagonal pyramid with a regular hexagon base has C6v symmetry.
See also
- Hexagonal bipyramidHexagonal bipyramidA 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.It is one of an infinite set of bipyramids...
A right regular pyramid is the one which has a "regular" hexagon at the base, it is called as a "right" regular pyramid because the line joining the centre of the base to the apex of the pyramid, the line joining the centre of the hexagon base and any of the corners of the hexagon and the line joining that corner of the hexagon and the apex form a right angled triangle.
External links
- Virtual Reality Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra
- Conway Notation for Polyhedra Try: "Y6"