# Truncated cuboctahedron

### Model 477

### Description

(6+8+12)-plane (2·24)-polygon. Polar figure of the disdyakis dodecahedron.

### Additions

In 2016 it was noted that the model associated with the number 477 in the case didn't fit the description.

The (6+8+12)-plane polygon with (2·24) vertices is a *truncated cuboctahedron* and seems to be lost. It is one of 13 Archimedean solids.

The wrongly associated model can now be found with the number 485.

There are 11 Archimedean solids in the collection.

472 | Truncated tetrahedron | inscribed in a tetrahedron |

473 | Truncated octahedron | inscribed in an octahedron |

474 485 |
Cuboctahedron | 474 inscribed in an octahedron 485 inscribed in a cube |

475 | Truncated cube | inscribed in an octahedron |

476 | Rhombicuboctahedron | inscribed in a cube |

478 | Truncated icosahedron | inscribed in an icosahedron |

479 | truncated dodecahedron | inscribed in a dodecahedron |

480 481 |
Icosidodecahedron | 480 inscribed in a dodecahedron 481 inscribed in an icosahedron |

482 | Rhombicosidodecahedron | |

483 | Snub dodecahedron | |

484 | Truncated cube | inscribed in a cube |

The truncated icosidodecahedron and the lost truncated cuboctahedron are not included in the collection.

The model is lost.

### References

Heesch, H.. Comm.Math.Helv, 6, m=3, Case 2c 2a fig. 6.

Hess, E.(1883). *Kugelteilung*, Teubner, mit Figuren, §27, fig. 13.