video thumbnail 20:56
Phi and the TRIBONACCI monster

2017-12-09

[public] 214K views, 8.28K likes, 103 dislikes audio only

channel thumbMathologer

NEW (Christmas 2019). Two ways to support Mathologer

Mathologer Patreon: https://www.patreon.com/mathologer

Mathologer PayPal: paypal.me/mathologer

(see the Patreon page for details)

Today's video is about explaining a lot of the miracles associated with the golden ratio phi, the Fibonacci sequence and the closely related tribonacci constant and sequence.

Featuring the truely monstrous monster formula for the nth tribonacci number, the best golden ratio t-shirt in the universe, rabbits, mutant rabbits, Kepler's wonderful Fibonacci-Phi link, Binet's formula, the Lucas numbers, golden rectangles, icosahedra, snub cubes, Marty, a very happy Mathologer, etc.

Special thanks to my friend Marty Ross for some good-humoured heckling while we were recording the video and Danil Dimitriev for his ongoing Russian support of this channel.

Also check out my other videos featuring the golden ratio and the Fibonacci numbers.

The fabulous Fibonacci flower formula: /youtube/video/_GkxCIW46to

Infinite fractions and the most irrational number (phi): /youtube/video/CaasbfdJdJg

Enjoy!


The Fibonacci Sequence
/youtube/video/e7SnRPubg-g?t=34.52
Golden Ratio Phi in Decimals
/youtube/video/e7SnRPubg-g?t=231.08
Lucas Sequence
/youtube/video/e7SnRPubg-g?t=351.5
The Nth Fibonacci Number
/youtube/video/e7SnRPubg-g?t=432.04999
What Is Phi
/youtube/video/e7SnRPubg-g?t=615.94
Formula for the Nth Fibonacci Number
/youtube/video/e7SnRPubg-g?t=875.33002
Benes Formula
/youtube/video/e7SnRPubg-g?t=896.71997
Fibonacci Numbers
/youtube/video/e7SnRPubg-g?t=996.599
Snub Cube
/youtube/video/e7SnRPubg-g?t=1111.2889