Pentagonal pyramid

Pentagonal pyramid
TypePyramid
Johnson
J1J2J3
Faces5 triangles
1 pentagon
Edges10
Vertices6
Vertex configuration[1]
Symmetry group
Dihedral angle (degrees)As a Johnson solid:
  • triangle-to-triangle: 138.19°
  • triangle-to-pentagon: 37.37°
Dual polyhedronself-dual
Propertiesconvex,
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 a 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.