Who cares about topology? (Inscribed rectangle problem)

Watch on YouTube

Show annotations

Download is disabled.

1,480,786

42,761

434

Genre: Education

Family friendly? Yes

Wilson score: 0.989

Rating: 4.9598 / 5

Engagement: 2.92%

3Blue1Brown

Subscribe | 2.46M

Shared November 4, 2016

An unsolved conjecture, and a clever topological solution to a weaker version of the question.
Brought to you by you: http://3b1b.co/topology-thanks
Home page: https://www.3blue1brown.com/

This video is based on a proof from H. Vaughan, 1977.

You can see it written up (as a single rather-dense paragraph) here:
http://topo.math.auburn.edu/tp/reprin...

------------------

3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).

If you are new to this channel and want to see more, a good place to start is this playlist: https://www.youtube.com/playlist?list...

Various social media stuffs:
Twitter: https://twitter.com/3Blue1Brown
Facebook: https://www.facebook.com/3blue1brown/
Reddit: https://www.reddit.com/r/3Blue1Brown



15:08

What does it feel like to invent math?

2.1M views

57:15

1. Introduction to Human Behavioral Biology

4.7M views

18:18

Is it possible? Simple questions, not so simple solutions

902K views

26:19

Perfect Shapes in Higher Dimensions - Numberphile

3.2M views

9:36

Why You Can Never Reach the Speed of Light: A Visualization of Special Relativity

2.9M views

24:45

Solving 2D equations using color, a story of winding numbers and composition

583K views

27:57

Topology & Geometry - LECTURE 01 Part 01/02 - by Dr Tadashi Tokieda

259K views

27:53

The Bridges to Fermat's Last Theorem - Numberphile

890K views

10:44

P vs. NP and the Computational Complexity Zoo

2.3M views

18:18

Hilbert's Curve: Is infinite math useful?

1.1M views

2:46:46

The Perfect Cosmological Principle | Return of the Steady State Universe

4.9M views

15:46

Bayes theorem, and making probability intuitive

549K views

25:47

Quantum Mechanics: Animation explaining quantum physics

2.2M views

13:59

Binary, Hanoi and Sierpinski, part 1

375K views

18:39

This equation will change how you see the world

3.8M views

31:51

Visualizing quaternions (4d numbers) with stereographic projection

1.1M views

17:05

The Essence of Calculus, Chapter 1

2.7M views

21:44

Feynman's Lost Lecture (ft. 3Blue1Brown)

1.6M views

36:58

500 years of NOT teaching THE CUBIC FORMULA. What is it they think you can't handle?

743K views