# Octasphericon

Jump to navigation
Jump to search

Octasphericon | |
---|---|

Rank | 3 |

Type | Developable roller |

Measures (radius 1) | |

Central density | 1 |

Abstract & topological properties | |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Convex | Yes |

Nature | Tame |

The **octasphericon** is a developable roller. It has a single, continuous, developable face, such that it rolls along a plane with every point on its face touching plane.

As the **(8,1)-polysphericon**, it can be constructed by taking the solid of rotation of a octagon by bisecting it along a octagon, rotating one half by , and recombining the two halves along their octagonal faces.