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Perfect Shapes in Higher Dimensions - Numberphile
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5,265,035 Views ā€¢ Mar 23, 2016 ā€¢ Click to toggle off description
Carlo Sequin talks through platonic solids and regular polytopes in higher dimensions.
More links & stuff in full description below ā†“ā†“ā†“

Extra footage (Hypernom): Ā Ā Ā ā€¢Ā EatingĀ 4DĀ PolytopesĀ (Hypernom)Ā Ā 
More videos with with Carlo: bit.ly/carlo_videos

Edit and animation by Pete McPartlan
Pete used Stella4D --- www.software3d.com/

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Metadata And Engagement

Views : 5,265,035
Genre: Science & Technology
Date of upload: Mar 23, 2016 ^^


Rating : 4.944 (1,542/108,634 LTDR)
RYD date created : 2022-04-09T16:03:01.242105Z
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YouTube Comments - 7,507 Comments

Top Comments of this video!! :3

@000netko

3 years ago

"You can basically figure it out yourself" -Carlo Sequin on 5 dimensional polytopes Nobody has ever believed in me as much as this guy

3.4K |

@shpongle7322

4 years ago

The fact that he can visualize this and explain it so clearly really shows how abstract this man can contemplate. So difficult to do

2.4K |

@Rune3D

3 years ago

As a 3D artist, I actually find this very interesting. That was a fun bit about the Utah Teapot! It comes with every single 3D graphics software known, and I see it all the time, but I actually never knew it had a name!

94 |

@mortal19901001

3 years ago

Keep re-watching this over and over again, his explanation is so simple yet so elegant. Sad I never got to meet him in person, he must have been a very interesting person to talk to about the World and everything surrounding us

187 |

@kyoai

7 years ago

That guy has an amazing voice/accent mix.

1K |

@MarkOates2

6 years ago

This guy has the perfect accent for the word tetrahedron

2.8K |

@nikdoesstuff9338

3 years ago

Ah yes those famous rpg dice... The d4, the d6, the d8, the d10, the d20, and the dTEAPOT

84 |

@ColinBache

3 years ago

Awesome video!! Iā€™ve been searching for ages for an answer to why there are only 5 Platonic solids in 3 dimensions. Not only is this the first explanation that I find instantly intuitive and concise, itā€™s also demonstrated beautifully. The extension into the higher dimensions and reference to fewer dimensions is also a wonderful way to contextualise the whole concept of perfect solids. Thanks so much! šŸ™ā¤ļø

59 |

@Zichfried

3 years ago

And this is why they shouldn't call "4D movies" the 4D movies. Excellent video. Thank you!

1.9K |

@johnathonwaymire9483

3 years ago

I feel like my brain gets so close to imagining higher dimensions before breaking completely.

2.7K |

@loquacity4765

2 years ago

Thank you very much, Numberphile and Carlo Sequin. I have always struggled with this level of mathematics beyond "you can't imagine a 4D shape" so I was astonished to find myself grasping the concepts (with some rewinding). Sequin's style is intuitive and captivating and I can't believe that I now have not only a page of notes, as if I were at school again, but an appreciation of the beauty and mystery of these forms. You've made my day!

7 |

@damienboykin7772

3 years ago

The 6D Hypercube structure really looks like a Metatron Cube. And the 5D polytope, when he tilted it at an angle, made pentagrams with the negative space.

38 |

@chronovac

5 years ago

When I watch these videos, i simultaneously feel both smarter and dumber

3.9K |

@wariouswarious9364

5 years ago

Meanwhile in a higher dimension: "Mom, can you buy me some real toys... I'm tired of playing with these Rhombic Triacontahedrons"

2.4K |

@BIG.pisquared

3 years ago

What a wonderful explanation! Thank you for helping us to learn something that is so fascinating in such a fun way. Professor, this has been a true delight!

12 |

@AntoanetaDD

3 years ago

Never had it better and clearer explained... an amazing way about it, dear professor... Truly thankful I am for such a smooth transition from 2D to 3D, 4D, ..., into infinity... and perhaps further...???

2 |

@seantobin5235

8 years ago

do a video on the Utah teapot

638 |

@Abdega

6 years ago

[SCREAMS GEOMETRICALLY]

2K |

@evank3718

3 years ago

Props to the animator the visuals in this were amazing

40 |

@SK-vk9jf

2 years ago

14:08 is the projection that somehow really clicked with me. I felt like I "see" this and that was a huge moment of joy.

5 |

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