# List of bracketopes (Meta, 4)

### From Hi.gher. Space

This is a **list of bracketopes** in dimensions from zero to four.

Name | Toratopic index | Tapertopic index | Bracketopic index | Bracket notation |
---|---|---|---|---|

0D bracketopes (total 1) | ||||

Point | N/A | 0 | 0 | Empty string |

1D bracketopes (total 1) | ||||

Digon | N/A | 1 | 1 | I |

2D bracketopes (total 2) | ||||

Square | 1a | 3 | 2 | [II] |

Circle | 1b | 2 | 3 | (II) |

3D bracketopes (total 6) | ||||

Cube | 2a | 7 | 4 | [III] |

Octahedron | N/A | N/A | 5 | <III> |

Sphere | 2b | 5 | 6 | (III) |

Cylinder | 3a | 6 | 7 | [(II)I] |

Bicone | N/A | N/A | 8 | <(II)I> |

Crind | N/A | N/A | 9 | ([II]I) |

4D bracketopes (total 21) | ||||

Geochoron | 4a | 16 | 10 | [IIII] |

Aerochoron | N/A | N/A | 11 | <IIII> |

Glome | 4b | 12 | 12 | (IIII) |

Cubinder | 5a | 15 | 13 | [(II)II] |

Dibicone | N/A | N/A | 14 | <(II)II> |

Dicrind | N/A | N/A | 15 | ([II]II) |

Octahedral prism | N/A | N/A | 16 | [<III>I] |

Spherinder | 7a | 13 | 17 | [(III)I] |

Cubic bipyramid | N/A | N/A | 18 | <[III]I> |

Bisphone | N/A | N/A | 19 | <(III)I> |

Cubic crind | N/A | N/A | 20 | ([III]I) |

Octahedral crind | N/A | N/A | 21 | (<III>I) |

Biconic prism | N/A | N/A | 22 | [<(II)I>I] |

Crindal prism | N/A | N/A | 23 | [([II]I)I] |

Bicylindrone | N/A | N/A | 24 | <[(II)I]I> |

Crindal bipyramid | N/A | N/A | 25 | <([II]I)I> |

Cylindrical crind | N/A | N/A | 26 | ([(II)I]I) |

Biconic crind | N/A | N/A | 27 | (<(II)I>I) |

Duocylinder | 6a | 14 | 28 | [(II)(II)] |

Duocircular tegum | N/A | N/A | 29 | <(II)(II)> |

Duocrind | N/A | N/A | 30 | ([II][II]) |