Pentagonal bipyramid

Pentagonal bipyramid
TypeBipyramid,
Deltahedra
Johnson
J12J13J14
Faces10 triangles
Edges15
Vertices7
Vertex configuration
Symmetry group
Dihedral angle (degrees)As a Johnson solid: 138.2°, 74.8°
Dual polyhedronpentagonal prism
Propertiesconvex,
composite,
face-transitive

In geometry, the pentagonal bipyramid (or pentagonal dipyramid) is a polyhedron with 10 triangular faces. It is constructed by attaching two pentagonal pyramids to each of their bases. If the triangular faces are equilateral, the pentagonal bipyramid is an example of deltahedra, composite polyhedron, and Johnson solid.

The pentagonal bipyramid may be represented as 4-connected well-covered graph. This polyhedron may be used in the chemical compound as the description of an atom cluster known as pentagonal bipyramidal molecular geometry, as a solution in Thomson problem, as well as in decahedral nanoparticles.