A pattern of integrals that all equal pi...until they don't.
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Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Hindi: Pragna1991

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Original paper from David and Jonathan Borwein
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Other fun coverage of the topic:
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Correction: 4:12 The top line should not be there, as that integral diverges

Timestamps
0:00 - The pattern
4:45 - Moving average analogy
10:41 - High-level overview of the connection
16:14 - What's coming up next

These animations are largely made using a custom python library, manim. See the FAQ comments here:
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Music by Vincent Rubinetti.
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