The Hairy Ball Theorem: Topology, Differential Geometry, and Real-World Physics

What Is the Hairy Ball Theorem?

A new video is finally here!

The Hairy Ball Theorem — also known as the Hedgehog Combing Theorem!

We discussed it in this channel some time ago. It is one of the strangest theorems in mathematics.

The Hairy Ball Theorem at the Intersection of Abstract Mathematics

It unites several branches of abstract mathematics: topology, differential geometry, and analysis. At the same time, it has a direct influence on the physical laws of nature — how wind blows, how a 3D image is constructed, and even how a thermonuclear reactor is built.

Hairy Ball Theorem Topology: Beauty, Physics, and the Donut

What is this theorem? What is its true beauty? And what is the difference between a hairy ball and a donut?

Watch the full video to find out:

• YouTube: https://youtu.be/UJ1AB4-bw54
• VK: https://vkvideo.ru/video-198484022_456239125

Have a great weekend!