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 apex).
A hexagonal pyramid has seven vertices, twelve edges, and seven faces.
: 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.
It is also mirror symmetric relative to any perpendicular plane passing through a bisector of the base.
[2] It is self-dual, meaning its dual polyhedron is the hexagonal pyramid itself.