Pentagrammic bipyramid

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Pentagrammic bipyramid
Pentagram Dipyramid.png
Type Star bipyramid
Faces 10 triangles
Edges 15
Vertices 7
Schläfli symbol {} + {5/2}
Coxeter diagram CDel node f1.pngCDel 2x.pngCDel node f1.pngCDel 5.pngCDel rat.pngCDel 2x.pngCDel node.png
Symmetry group D5h, [5,2], (*225), order 20
Rotation group D5, [5,2]+, (225), order 10
Dual polyhedron pentagrammic prism
Face configuration V4.4.5
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[edit]

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
5-2 deltohedron.png 5-3 deltohedron.png

References[edit]

External links[edit]