Fibonacci Numbers and the Golden Ratio

Fibonacci Numbers and the Golden Ratio « Series from 2025

Series from 2025

Broadcast info
Genres: Documentary

Taught by Professor Arthur T.

Benjamin of Harvey Mudd College, this course introduces two ubiquitous patterns in nature and human culture: the Fibonacci sequence and the golden ratio.

You learn how a simple algorithm produces the Fibonacci sequence, and how this is one of many paths to the golden ratio. Professor Benjamin presents proofs, puzzles, magic tricks, games, and many amazing insights.

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Puzzling Fibonacci Patterns

Proving Perplexing Properties

Applications of Fibonacci Numbers

Fibonacci Numbers and Pascal’s Triangle

A Favorite Fibonacci Fact

Fibonacci Numbers, Lucas Numbers, and Beyond

The Mysterious Golden Ratio

Phi: The Most Irrational Number

A Golden Formula for Fibonacci

The Golden Ratio and Geometry

The Golden Ratio and Benford’s Law

Fibonacci and the Golden Ratio Everywhere