# Pentagrammic bipyramid

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.

Pentagrammic bipyramid | |
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Type | Star bipyramid |

Faces | 10 triangles |

Edges | 15 |

Vertices | 7 |

Schläfli symbol | {} + {5/2} |

Coxeter diagram | |

Symmetry group | D_{5h}, [5,2], (*225), order 20 |

Rotation group | D_{5}, [5,2]^{+}, (225), order 10 |

Dual polyhedron | pentagrammic prism |

Face configuration | V4.4.5 |

Properties | face-transitive, (deltahedron) |

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 |
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## References

## External links

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