The Fibonacci Sequence and the Golden Ratio
Everything Everywhere Daily: History, Science, Geography & More
Gary Arndt
4.7 • 2.3K Ratings
🗓️ 13 August 2025
⏱️ 14 minutes
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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. |
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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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