# The curious world of four-dimensional geometry (Wondrous Mathematics)

Description | You couldn't tie your shoelaces if we lived in four dimensions! And spheres would be much smaller than you would think. We'll take you on a short tour of these and other curious phenomena which unfold in four dimensions. |
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Website(s) | |

Type | Talk |

Kids session | No |

Keyword(s) | |

Tags | mathematics, 4d, geometry |

Person organizing | Iblech, MatthiasHu |

Language | en - English |

Other sessions... |

Starts at | 2016/12/29 14:00 |
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Ends at | 2016/12/29 14:50 |

Duration | 50 minutes |

Location | Hall B |

The space we live in is three-dimensional. But mathematically, four dimensions can be just as easily defined as three dimensions. In the talk, we'll give an accessible introduction to four-dimensional thinking. We'll discuss how to imagine four dimensions, see examples of beautiful four-dimensional forms, learn how to glue three-dimensional forms to four-dimensional ones and discover what's special about four dimensions.

There's some chance that you'll leave the talk with a new favourite platonic solid.

The talk doesn't require any mathematical prerequisites. Exactly two formulas will appear. There will be pretty pictures. Bring your kids (age 12 or older)!

Note to organizers of other self-organized sessions: We don't actually need the big Hall B. We're happy to move to a smaller room, if you find one for us. :-) Just drop us a line.

Talk-related resources:

- Slides of the talk
- Recording of the talk (thanks to @timjb!)
- The four-dimensional fractal unifying the Mandelbrot fractal and all the Julia sets
- Haskell code to render three-dimensional projections of four-dimensional shapes
- Matt Parker: Things to See and Hear in the Fourth Dimension
- What happens if a four-dimensional alien flips you just as you could flip a triangle living in flatland? Think about yoghurt.