Pentagonal dipyramid

Infobox face-uniform polyhedron


Polyhedron_Type=Dipyramid
and
Johnson
J₁₂ - J₁₃ - J₁₄
Face_List=10 triangles
Edge_Count=15
Vertex_Count=7
Symmetry_Group="D"_5h
Face_Type=V4.4.5
Dual=pentagonal prism
Property_List=convex, face-transitive, (deltahedron)

In geometry, the pentagonal dipyramid (or bipyramid) is third of the infinite set of face-transitive dipyramids.

The set of dipyramids is the dual of the uniform prisms.

It is also a Johnson solid ("J"₁₃), constructed of regular polygons. It can be seen as two pentagonal pyramids ("J"₂) connected along their bases.

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

The Johnson solid 13 is made of 10 equilateral triangles.

External links

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* [http://www.lifeisastoryproblem.org/explore/net_pentagonal_dipyramid.pdf Printable Net of a Pentagonal Dipyramid] [http://www.lifeisastoryproblem.org Life is a Story Problem.org]