Pentagonal pyramid

Pentagonal pyramid
Type	Pyramid Johnson J1 – J2 – J3
Faces	5 triangles 1 pentagon
Edges	10
Vertices	6
Vertex configuration	${\displaystyle 5\times (3^{2}\times 5)+1\times 3^{5}}$[1]
Symmetry group	${\displaystyle C_{5\mathrm {v} }}$
Dihedral angle (degrees)	As a Johnson solid: triangle-to-triangle: 138.19° triangle-to-pentagon: 37.37°
Dual polyhedron	self-dual
Properties	convex, elementary (Johnson solid)
Net

In geometry, pentagonal pyramid is a pyramid with a pentagon base and five triangular faces, having a total of six faces. It is categorized as Johnson solid if all of the edges are equal in length, forming equilateral triangular faces and a regular pentagonal base. The pentagonal pyramid can be found in many polyhedrons, including their construction. It also occurs in stereochemistry in pentagonal pyramidal molecular geometry.