# Trisquare

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Trisquare | |
---|---|

Rank | 2 |

Type | Regular |

Space | Spherical |

Notation | |

Bowers style acronym | Trisquare |

Schläfli symbol | {12/3} |

Elements | |

Components | 3 squares |

Edges | 12 |

Vertices | 12 |

Vertex figure | Dyad, length √2 |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Area | 3 |

Angle | 90° |

Central density | 3 |

Number of pieces | 24 |

Level of complexity | 2 |

Related polytopes | |

Army | Dog |

Dual | Trisquare |

Conjugate | Trisquare |

Convex core | Dodecagon |

Abstract properties | |

Euler characteristic | 0 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(12), order 24 |

Convex | No |

Nature | Tame |

The **trisquare** is a polygon compound composed of 3 squares. As such it has 12 edges and 12 vertices.

It is the second stellation of the dodecagon.

Its quotient prismatic equivalent is the 12-4 step prism, which is four-dimensional.

## Vertex coordinates[edit | edit source]

Coordinates for the vertices of a trisquare of edge length 1 centered at the origin are given by:

## External links[edit | edit source]

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