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Everything Everywhere Daily: History, Science, Geography & More

The Fibonacci Sequence and the Golden Ratio

Everything Everywhere Daily: History, Science, Geography & More

Gary Arndt

History, Education

4.72.3K Ratings

🗓️ 13 August 2025

⏱️ 14 minutes

🧾️ Download transcript

Summary

Two of the most important concepts in the world of mathematics and nature are the Fibonacci Sequence and the Golden Ratio. These two concepts seem separate, but they are actually tightly intertwined.  While they have been known since the ancient world, they are still highly relevant today and can be found all over nature.  Best of all, despite being important mathematical concepts, they are also among the easiest to understand. Learn more about the Fibonacci Sequence and the Golden Ratio, what they are, and how they were discovered on this episode of Everything Everywhere Daily. Sponsors Newspapers.com Get 20% off your subscription to Newspapers.com Quince Go to quince.com/daily for 365-day returns, plus free shipping on your order! Mint Mobile Get your 3-month Unlimited wireless plan for just 15 bucks a month at mintmobile.com/eed Jerry Compare quotes and coverages side-by-side from up to 50 top insurers at jerry.ai/daily. Subscribe to the podcast!  https://everything-everywhere.com/everything-everywhere-daily-podcast/ -------------------------------- Executive Producer: Charles Daniel Associate Producers: Austin Oetken & Cameron Kieffer   Become a supporter on Patreon: https://www.patreon.com/everythingeverywhere Discord Server: https://discord.gg/UkRUJFh Instagram: https://www.instagram.com/everythingeverywhere/ Facebook Group: https://www.facebook.com/groups/everythingeverywheredaily Twitter: https://twitter.com/everywheretrip Website: https://everything-everywhere.com/  Disce aliquid novi cotidie Learn more about your ad choices. Visit megaphone.fm/adchoices

Transcript

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0:00.0

Two of the most important concepts that can be found in the world of mathematics and nature are the Fibonacci sequence and the golden ratio.

0:08.0

These two concepts seem separate, but they're actually tightly intertwined.

0:12.0

While they've been known since the ancient world, they're still highly relevant today and can be found almost everywhere.

0:18.0

And best of all, despite being important mathematical concepts,

0:22.3

they're also among the easiest to understand.

0:25.3

Learn more about the Fibonacci sequence and the golden ratio,

0:28.5

what they are and how they were discovered

0:30.0

on this episode of Everything Everywhere Daily.

0:32.6

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0:51.0

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0:55.8

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1:03.8

Before I get into the history and the applications of the Fibonacci sequence and the golden

1:08.1

ratio, I should probably explain what they are because they're actually pretty easy to understand. The Fibonacci sequence of the Golden Ratio. I should probably explain what they are because they're

1:11.3

actually pretty easy to understand. The Fibonacci sequence is formed by starting with the numbers

1:16.8

0 and 1, and then adding each pair of previous numbers to get the next one. So 0 plus 1 is 1. 1. 1 is 2. 2 plus 1 is 3. 3 plus 2 is 5. 5 plus 3 is 8. And you can just keep doing this

1:34.2

forever, adding the last 2 digits. The next would be 13, 21, 34, 55, 89, 144, 233, 377, etc.

1:47.7

And that's all there is to it.

1:49.8

Any child who knows basic addition can calculate the Fibonacci sequence.

1:54.8

The golden ratio is an irrational number that is close to the number 1..618033-9887, extending out to infinity in a non-repeating

2:07.0

series of numbers. Simple addition and an irrational number hardly seem like they have something

2:14.1

in common, but as we'll see, they actually do. The mathematical

2:19.3

relationship that we call the golden ratio was actually known to ancient civilization long before

...

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