Pentagonal bipyramid

In geometry, the pentagonal bipyramid (or dipyramid) is third of the infinite set of face-transitive bipyramids, and the 13th Johnson solid (J13). Each bipyramid is the dual of a uniform prism.

Pentagonal bipyramid
TypeBipyramid,
Johnson
J12J13J14
Faces10 triangles
Edges15
Vertices7
Vertex configurationV4.4.5
Schläfli symbol{ } + {5}
Coxeter diagram
Symmetry groupD5h, [5,2], (*225), order 20
Rotation groupD5, [5,2]+, (225), order 10
Dual polyhedronpentagonal prism
Propertiesconvex, face-transitive, (deltahedron)
Net

Although it is face-transitive, it is not a Platonic solid because some vertices have four faces meeting and others have five faces.

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