Escher's Print Gallery, and the tour of complex analysis it invites.
Check out our virtual career fair: 3b1b.co/talent
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An equally valuable form of support is to simply share the videos.
Home page: https://www.3blue1brown.com

Original paper by de Smit and Lenstra:
https://pub.math.leidenuniv.nl/~smitbde/papers/2003-de_smit-lenstra-escher.pdf

Timestamps:

0:00 - The print gallery
13:04 - Conformal maps from complex analysis
21:41 - The complex exponential
25:56 - The complex logarithm
32:32 - 3b1b Talent
33:14 - Constructing the key function
40:16 - The deeper math behind Escher

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These animations are largely made using a custom Python library, manim. See the FAQ comments here:
https://3b1b.co/faq#manim

Music by Vincent Rubinetti.
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u

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3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly.

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This video explains how ISO is very different to what most people imagine, and how you can use this knowledge to take less noisy photos!

REFERENCES
- Sensor Analysis Primer: https://www.photonstophotos.net/GeneralTopics/Sensors_&_Raw/Sensor_Analysis_Primer/Photographic_Dynamic_Range_Shadow_Improvement.htm
- Image sensors explained: https://www.canon-europe.com/pro/infobank/image-sensors-explained/

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And Facebook: http://facebook.com/minutephysics

Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in a minute!

Created by Henry Reich
Produced by Joshua Chawner

Chapters
0:00 Misunderstanding ISO
1:54 ISO Explained
3:20 Why Even Have ISO?
4:52 What Actually Creates Noise
7:12 ISO Step-by-Step Guide!
8:36 Sponsor Message from FarmKind
9:43 ISO Caveats

Chief Meteorologist Dan Harris discusses (at length) one of the most famous equations in weather forecasting - the Quasi Geostrophic Omega Equation. More links & stuff in full description below ↓↓↓

Catch our podcast with Dan on podcast players or here on YouTube - https://youtu.be/lnARyhaqMvU

Dan works for the Met Office as a chief meteorologist - https://www.metoffice.gov.uk/

Check out some Met Office archive stuff at Brady's Objectivity channel - https://www.youtube.com/playlist?list=PLd5y2WfrtsPrauSfrdFfkE7iZ-KG9pCzO

Weather videos on Brady's Sixty Symbols channel - https://www.youtube.com/playlist?list=PLcUY9vudNKBNpsv8AWUvJxbOl6S2pw8so

Navier-Stokes Equation video - https://www.youtube.com/watch?v=ERBVFcutl3M

Dan's website - https://www.roostweather.com/

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Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet

We are also grateful for support from the Ben Delo Foundation - https://delo.org/

NUMBERPHILE
Website: http://www.numberphile.com/

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