That's Not How the Golden Ratio Works

Опубликовано: 26 Август 2026
на канале: Another Roof

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⬣ ABOUT ⬣
There’s much to admire about the Golden Ratio, but its significance is largely overblown. In this video, we separate some of the facts from the fiction, while analysing Darren Aronofsky’s “Pi”.

⬣ TIMESTAMPS ⬣
00:00 - Intro
02:57 - What is the Golden Ratio?
04:53 - The Fibonacci Sequence and the Golden Ratio
10:54 - Nature and Diophantine Approximation
15:14 - Hurwitz’s Inequality
21:20 - Numerology and Gematria
26:09 - Is Pi Good?
29:02 - Verdict

⬣ INVESTIGATORS ⬣
Nothing for you here. Sorry!

⬣ SEE ALSO ⬣
Numberphile video featuring Ben Sparks:
   • The Golden Ratio (why it is so irrational)...

Astrology Future Eye
https://astrologyfutureeye.com/numero...

Assassinations Foretold in Moby Dick! by Brendan McKay
https://users.cecs.anu.edu.au/~bdm/di...

⬣ REFERENCES ⬣
G. H. Hardy, E. M. Wright: “An Introduction to the Theory of Numbers” Fourth Edition. Oxford University Press (1960).

⬣ CREDITS ⬣
Music by Danijel Zambo, Tobias Voigt, and Apex Music.

Pi (film) footage (C) Protozoa Pictures, Artisan Entertainment, Summit Entertainment.

Requiem for a Dream footage (C) Thousand Words, Protozoa Pictures, Artisan Entertainment, Summit Entertainment.

IMAGES
Gears
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Monty Hall
https://en.wikipedia.org/wiki/Monty_H...
Golden Spiral
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Sacred Creation
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Jeeves
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8 Mile poster (C) Universal Pictures
Mona Lisa
https://en.wikipedia.org/wiki/Mona_Li...
Parthenon
https://cdn.hswstatic.com/gif/parthen...
Archimedean Spiral
https://en.wikipedia.org/wiki/Archime...
Euler Spiral
https://en.wikipedia.org/wiki/Euler_s...
Spiral: From the Book of Saw (C) Universal Pictures
Logarithmic Spiral
https://en.wikipedia.org/wiki/Logarit...
Sunflower
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Parthenon with Golden Rectangle
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Pinecone
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Pineapple
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Adolf Hurwitz
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Nautilus Shell
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Milky Way
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Hurricane Katrina
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