From 3Blue1Brown.

Escher’s Print Gallery, and the tour of complex analysis it invites.
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Original paper by de Smit and Lenstra:
https://pub.math.leidenuniv.nl/~smitbde/papers/2003-de_smit-lenstra-escher.pdf

Co-written by Paul Dancstep, who handled many of the animations in the art section, including the delightful mesh warp scene.

Aaron Gostein helped with the manim animations in the section introducing complex functions.

Artwork provided by Talia Gerhson, Mitchell Zemil, and Anna Fedczuk.

Music by Vincent Rubinetti

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

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