Pentagrammic bipyramid

Pentagrammic bipyramid
Type	Star bipyramid
Schläfli symbol	{} + {5/2}
Coxeter diagram
Faces	10 triangles
Edges	15
Vertices	7
Face configuration	V4.4.5
Symmetry group	D5h, [5,2], (*225), order 20
Rotation group	D5, [5,2]^+, (225), order 10
Dual	pentagrammic prism
Properties	face-transitive, (deltahedron)

In geometry, the pentagrammic bipyramid (or dipyramid) is first of the infinite set of face-transitive star bipyramids containing star polygon arrangement of edges. It has 10 intersecting isosceles triangle faces. It is topologically identical to the pentagonal bipyramid.

Each star bipyramid is the dual of a star polygon based uniform prism.

Related polyhedra

There are two pentagrammic trapezohedra (or deltohedra), being dual to the pentagrammic antiprism and pentagrammic crossed antiprism respectively, each having intersecting kite-shaped faces (convex or concave), and a total of 12 vertices:

{5/2} trapezohedron	{5/3} trapezohedron

References

External links

• Weisstein, Eric W., "Dipyramid", MathWorld.
• Weisstein, Eric W., "Pentagrammic dipyramid", MathWorld.
• Weisstein, Eric W., "Pentagrammic deltohedron", MathWorld.
• Weisstein, Eric W., "Pentagrammic concave deltohedron", MathWorld.