# Great tridecagram: Difference between revisions

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|verf = [[Dyad]], length 2cos(5π/13) |
|verf = [[Dyad]], length 2cos(5π/13) |
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|schlafli = {13/5} |
|schlafli = {13/5} |
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|coxeter = x13/5o |
|coxeter = {{ACD|x13/5o|both=yes}} |
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|army=[[Tridecagon|Tad]], edge length <math>\frac{\sin\frac{\pi}{13}}{\sin\frac{5\pi}{13}}</math> |
|army=[[Tridecagon|Tad]], edge length <math>\frac{\sin\frac{\pi}{13}}{\sin\frac{5\pi}{13}}</math> |
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|symmetry = [[Tridecagonal symmetry|I<sub>2</sub>(13)]], order 26 |
|symmetry = [[Tridecagonal symmetry|I<sub>2</sub>(13)]], order 26 |
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|pieces = 26 |
|pieces = 26 |
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|loc = 2 |
|loc = 2 |
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|orbits = 1 |
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|dual='''Great tridecagram''' |
|dual='''Great tridecagram''' |
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|conjugate=[[Tridecagon]], [[Small tridecagram]], [[Tridecagram]], [[Medial tridecagram]], [[Grand tridecagram]] |
|conjugate=[[Tridecagon]], [[Small tridecagram]], [[Tridecagram]], [[Medial tridecagram]], [[Grand tridecagram]] |

## Latest revision as of 22:39, 30 July 2024

Great tridecagram | |
---|---|

Rank | 2 |

Type | Regular |

Notation | |

Bowers style acronym | Get |

Coxeter diagram | x13/5o () |

Schläfli symbol | {13/5} |

Elements | |

Edges | 13 |

Vertices | 13 |

Vertex figure | Dyad, length 2cos(5π/13) |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Area | |

Angle | |

Central density | 5 |

Number of external pieces | 26 |

Level of complexity | 2 |

Related polytopes | |

Army | Tad, edge length |

Dual | Great tridecagram |

Conjugates | Tridecagon, Small tridecagram, Tridecagram, Medial tridecagram, Grand tridecagram |

Convex core | Tridecagon |

Abstract & topological properties | |

Flag count | 26 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(13), order 26 |

Flag orbits | 1 |

Convex | No |

Nature | Tame |

The **great tridecagram** is a non-convex polygon with 13 sides. It's created by taking the fourth stellation of a tridecagon. A regular great tridecagram has equal sides and equal angles.

It is one of five regular 13-sided star polygons, the other four being the small tridecagram, the tridecagram, the medial tridecagram, and the grand tridecagram.

## External links[edit | edit source]

- Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".

- Wikipedia contributors. "Tridecagram".