22 Mar 2026
Escher’s Print Gallery, and the tour of complex analysis it invites.
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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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21 Mar 2026 #History #EnglishFolklore #FairyTales
Fairies are often thought of as part of Celtic folklore — but they run deep in English history too.
This video explores one of the earliest recorded “fairy-like” encounters in England: the Green Children of Woolpit. Written down over 800 years ago by medieval chroniclers, this story predates the very word fairy in the English language.
In this episode, we don’t just tell the story — we break it down. What did people in the 12th century think they were seeing? Why does this account share so many features with later fairy lore? And could this be one of the first moments where a “fairy” enters English history… before the concept even had a name?
Drawing on accounts from Ralph of Coggeshall and William of Newburgh, we explore the strange details:
Green-skinned children speaking an unknown language
A twilight world called St Martin’s Land
A cave, bells, and a missing entrance
Behaviour that closely mirrors later “changeling” folklore
We also place the story alongside other early British accounts, including:
Gerald of Wales and the story of Elidor
Walter Map and his accounts of otherworldly beings
Is this a misunderstood historical event? A cultural crossover from Wales? Or something stranger — a glimpse of a belief system just beginning to take shape?
This is not just a story. It’s a moment where folklore, history, and human perception collide.
msamba 