In Our Time
The Fibonacci Sequence
Nov 29, 2007
Melvyn Bragg discusses the Fibonacci Sequence with guests, exploring its links to natural structures and the Golden Ratio. They delve into its historical origins, mathematical properties, and presence in art and architecture. The conversation highlights the sequence's influence on nature, design, and aesthetics, making for an engaging exploration of mathematics and beauty.
42:15
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Quick takeaways
- The Fibonacci Sequence, discovered by Leonardo of Pisa, exhibits natural growth patterns in plants and shells.
- The Fibonacci numbers' presence in art and music transcends mathematical elegance into creative expressions.
Deep dives
The Origin of the Fibonacci Sequence and Its Significance in Mathematics
The Fibonacci sequence, named after the 13th century Italian mathematician Fibonacci, plays a crucial role in the history of mathematics. Fibonacci, a key figure in introducing Eastern mathematical concepts to Europe, discovered these numbers while traveling in Northern Africa. The sequence, 1, 1, 2, 3, 5, 8, 13, ..., is generated by adding the two previous numbers together. This sequence represents a natural pattern of growth, essential in various mathematical applications.
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