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In geometry, a **hexagonal pyramid** or hexacone is a pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point (the apex). Like any pyramid, it is self-dual.

Hexagonal pyramid | |
---|---|

Type | Pyramid |

Faces | 6 triangles 1 hexagon |

Edges | 12 |

Vertices | 7 |

Vertex configuration | 6(3^{2}.6)(3 ^{6}) |

Schläfli symbol | ( ) ∨ {6} |

Symmetry group | C_{6v}, [6], (*66) |

Rotation group | C_{6}, [6]^{+}, (66) |

Dual polyhedron | Self-dual |

Properties | Convex |

Net | |

A **right hexagonal pyramid** with a regular hexagon base has *C*_{6v} symmetry.

A right regular pyramid is one which has a regular polygon as its base and whose apex is "above" the center of the base, so that the apex, the center of the base and any other vertex form a right triangle.

A hexagonal pyramid of edge length 1 has the following vertices:

These coordinates are a subset of the vertices of the regular triangular tiling.

STL Hexagonal pyramid

A hexagonal pyramid has the following Coxeter diagrams:

- ox6oo&#x (full symmetry)
- ox3ox&#x (generally a ditrigonal pyramid)

Regular pyramids | ||||||||||||
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Digonal | Triangular | Square | Pentagonal | Hexagonal Heptagonal Octagonal Enneagonal Decagonal... Improper Regular Equilateral Isosceles | ||||||||

- Weisstein, Eric W. "Hexagonal Pyramid".
*MathWorld*. - Virtual Reality Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra
- Conway Notation for Polyhedra Try: "Y6"
- [1] Hexagonal pyramid - Polytope Wiki