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.
EPISODE 1
Puzzling Fibonacci Patterns
Discovering how to generate the Fibonacci sequence and explore its fascinating patterns while learning about the mathematician Fibonacci.
EPISODE 2
Proving Perplexing Properties
Exploring various mathematical techniques to verify patterns within the entire Fibonacci sequence and deepen understanding of its properties.
EPISODE 3
Applications of Fibonacci Numbers
Arranging a strip of squares and dominoes, revealing that the number of tiling combinations follows the Fibonacci sequence.
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.
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.
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.
Arthur Benjamin
