# Mirror symmetric pentagon

(Redirected from Floret pentagon)

Mirror symmetric pentagon | |
---|---|

Rank | 2 |

Elements | |

Edges | 2 + 2 + 1 |

Vertices | 2 + 2 + 1 |

Vertex figures | Dyad, length 2 |

Dyad, length | |

Dyad, length | |

Measures (edge lengths 1,2) | |

Area | |

Angles | 120° = radians |

60° = radians | |

Central density | 1 |

Abstract & topological properties | |

Flag count | 10 |

Euler characteristic | 0 |

Surface | Circle |

Orientable | Yes |

Properties | |

Flag orbits | 5 |

Convex | Yes |

Net count | 3 |

Nature | Tame |

The **mirror symetric pentagon** is a type of irregular pentagon with mirror symmetry but no rotational symmetry. It appears as in the vertex figures of several snub polyhedra and thus as faces of their duals.

## Vertex coordinates[edit | edit source]

Coordinates for a floret pentagon with minor edge length 1 and major edge length 2 are:

- ,
- ,
- .

These coordinates lie coincide with vertices of a triangular tiling, and the floret pentagon can be dissected into 7 equilateral triangles.