# Pentagrammic antiprism

Uniform Pentagrammic antiprism | |
---|---|

Type | Prismatic uniform polyhedron |

Elements | F = 12, E = 20V = 10 (χ = 2) |

Faces by sides | 10{3}+2{^{5}/_{2}} |

Schläfli symbol | sr{2,^{5}/_{2}} |

Wythoff symbol | | 2 2 ^{5}/_{2} |

Coxeter diagram | |

Symmetry | D_{5h}, [5,2], (*552), order 20 |

Rotation group | D_{5}, [5,2]^{+}, (55), order 10 |

Index references | U_{79(a)} |

Dual | Pentagrammic trapezohedron |

Properties | nonconvex |

Vertex figure 3.3.3. ^{5}/_{2} |

In geometry, the **pentagrammic antiprism** is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two pentagrams.

This polyhedron is identified with the indexed name U_{79} as a uniform polyhedron.

An alternative representation with hollow centers to the pentagrams.

## Net

Net (fold the dotted line in the centre in the opposite direction to all the other lines):

## See also

## External links

- http://www.mathconsult.ch/showroom/unipoly/04.html
- http://www.math.technion.ac.il/~rl/kaleido/data/04.html

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