Fibonacci Numbers and the Golden Ratio
TV Show · Documentary

Mathemagician Arthur Benjamin uncovers the secrets of Fibonacci numbers and the golden ratio, exploring their connections to literary thrillers, renowned artworks, and the patterns of flower petals.

2024 · 19m
Starring Arthur Benjamin

Season 1

  • EPISODE 1
    Puzzling Fibonacci Patterns
    Discovering how to generate the Fibonacci sequence and explore its fascinating patterns while learning about the mathematician Fibonacci.
    19m
  • EPISODE 2
    Proving Perplexing Properties
    Exploring various mathematical techniques to verify patterns within the entire Fibonacci sequence and deepen understanding of its properties.
    24m
  • EPISODE 3
    Applications of Fibonacci Numbers
    Arranging a strip of squares and dominoes, revealing that the number of tiling combinations follows the Fibonacci sequence.
    28m
  • EPISODE 4
    Fibonacci Numbers and Pascal's Triangle
    Pascal's triangle presents a triangular array where each number sums the two above, revealing patterns like the Fibonacci sequence.
    28m
  • EPISODE 5
    A Favorite Fibonacci Fact
    The professor reveals a favorite Fibonacci fact, highlighting the greatest common divisor, tracing back to Euclid's ancient insights.
    31m
  • EPISODE 6
    Fibonacci Numbers, Lucas Numbers, and Beyond
    Lucas numbers and Fibonacci numbers exhibit similar recursive properties, yet differ in their initial values, leading to unique patterns that culminate in the golden ratio.
    28m

Related

Cast & Crew

  • A‌B
    Arthur Benjamin
    Host

About

Fibonacci Numbers and the Golden Ratio

Documentary

Mathemagician Arthur Benjamin uncovers the secrets of Fibonacci numbers and the golden ratio, exploring their connections to literary thrillers, renowned artworks, and the patterns of flower petals.

Information

Studio
The Great Courses
Released
2024
Rated
PG

Languages

Audio

English (AAC), English (United States)

Subtitles

English (CC)

Accessibility

Closed captions refer to subtitles in available languages with the addition of relevant non-dialogue information.
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Select a country or region

Africa, Middle East, and India

  • Armenia
  • Azerbaijan
  • Bahrain
  • Botswana
  • Brunei Darussalam
  • Cape Verde
  • Egypt
  • Eswatini
  • Gambia
  • Ghana
  • Guinea-Bissau
  • India
  • Israel
  • Jordan
  • Lebanon
  • Mauritius
  • Mozambique
  • Namibia
  • Niger (English)
  • Oman
  • Qatar
  • Saudi Arabia
  • South Africa
  • Sri Lanka
  • Tajikistan
  • Turkmenistan
  • Uganda
  • United Arab Emirates
  • Zimbabwe

Asia Pacific

  • Australia
  • Cambodia
  • Fiji
  • 香港 (廣東話–繁體)
  • Indonesia (English)
  • 日本
  • Lao People's Democratic Republic
  • 澳門 (廣東話–繁體)
  • Malaysia (English)
  • Micronesia, Federated States of
  • Mongolia
  • New Zealand
  • Philippines
  • Singapore
  • 대한민국
  • 台灣
  • Thailand
  • Turkmenistan
  • Vietnam

Europe

  • Armenia
  • Österreich
  • Belarus
  • Belgium
  • Bulgaria
  • Cyprus
  • Czechia
  • Denmark
  • Estonia
  • Finland
  • France (Français)
  • Deutschland
  • Greece
  • Hungary
  • Ireland
  • Italia
  • Latvia
  • Lithuania
  • Luxembourg (English)
  • Malta
  • Moldova, Republic Of
  • Nederland
  • Norway
  • Poland
  • Portugal (Português)
  • Россия
  • Slovakia
  • Slovenia
  • España
  • Sverige
  • Schweiz
  • Türkiye (English)
  • Ukraine
  • United Kingdom

Latin America and the Caribbean

  • Anguilla
  • Antigua and Barbuda
  • Argentina (Español)
  • Bahamas
  • Belize
  • Bermuda
  • Bolivia (Español)
  • Brasil
  • Virgin Islands, British
  • Cayman Islands
  • Chile (Español)
  • Colombia (Español)
  • Costa Rica (Español)
  • Dominica
  • República Dominicana
  • Ecuador (Español)
  • El Salvador (Español)
  • Grenada
  • Guatemala (Español)
  • Honduras (Español)
  • México
  • Nicaragua (Español)
  • Panamá
  • Paraguay (Español)
  • Perú
  • St. Kitts and Nevis
  • Trinidad and Tobago
  • Venezuela (Español)

The United States and Canada

  • Canada (English)
  • Canada (Français)
  • United States
  • Estados Unidos (Español México)