Various Properties of the Fibonacci Number Sequence
Abstract
The Fibonacci number sequence is famous for its connection to the Golden Ratio and its appearance within natural objects. However, there do exist Fibonacci-like sequences that share the same recursive definition as the Fibonacci sequence without possessing its same connection to the Golden Ratio. We will first explain a method for constructing such Fibonacci-like sequences using the relationship between the closed formula for the Fibonacci sequence and its corresponding matrix. We will then examine the relationship between the Golden Ratio and the Fibonacci number sequence through the appearance of Fibonacci numbers within the curves inside the head of a sunflower.
Session Name:
Poster Presentation Session #2 - Poster #32
Start Date
10-4-2015 12:15 PM
End Date
10-4-2015 1:00 PM
Location
HSB 3rd Floor Student Commons
Various Properties of the Fibonacci Number Sequence
HSB 3rd Floor Student Commons
The Fibonacci number sequence is famous for its connection to the Golden Ratio and its appearance within natural objects. However, there do exist Fibonacci-like sequences that share the same recursive definition as the Fibonacci sequence without possessing its same connection to the Golden Ratio. We will first explain a method for constructing such Fibonacci-like sequences using the relationship between the closed formula for the Fibonacci sequence and its corresponding matrix. We will then examine the relationship between the Golden Ratio and the Fibonacci number sequence through the appearance of Fibonacci numbers within the curves inside the head of a sunflower.