A **hypercube** is a shape constructed by repeatedly taking the prism of a point (each prism being of identical length). Each hypercube has three hypercubes of the lower dimension surrounding each peak (e.g. a cube has three squares around each vertex, a tesseract has three cubes around each edge, etc.)

## List of Simplices

D | Symbol | Simplex |
---|---|---|

0 | Point | |

1 | Line segment | |

2 | Square | |

3 | Cube | |

4 | Tesseract | |

5 | Penteract | |

6 | Hexeract | |

7 | Hepteract | |

8 | Octeract | |

9 | Enneract | |

10 | Dekeract | |

11 | Hendekeract | |

12 | Dodekeract | |

13 | Tridekeract | |

14 | Tetradekeract | |

15 | Pentadekeract | |

16 | Hexadekeract | |

... | ... | ... |