An Inspection of the Fibonacci Sequence and the Resulting Spirals
Item
-
Title
-
An Inspection of the Fibonacci Sequence and the Resulting Spirals
-
Author
-
CHRISTA FENTON
-
Ben Cote'
-
Date
-
29 May 2021
-
Type
-
Text; Image; MovingImage; StillImage
-
Identifier
-
aes/272
-
Language
-
eng
-
Abstract
-
The Fibonacci Sequence is a common mathematical phenomenon that intrigues both academics and intellectuals alike. It is known as a fun, numerical sequence that builds on itself to infinity. As it turns out, the Fibonacci Sequence is more than a quirky additive sequence, it’s a foundational component to several different branches of mathematics. It’s basic formula can be tweaked ever so slightly to produce Pell numbers, various metallic ratios, and Pisano Periods, just to name a few. The Fibonacci’s original formula famously produces the Golden ratio and Golden Spiral which people across the world claim to see in nature, art, and science. In this presentation we will show where the Fibonacci is famously found, along with lesser known places in mathematics. It will show that we aren’t seeing the Golden Spiral everywhere, that the maths and ratios are integral to each spiral we see, and what you are seeing may not be the spiral you’re looking for.
-
Rights
-
Western Oregon University Library has determined, as of 05/27/2021, this item is in copyright, which is held by the author. Users may use the item in accordance with copyright limitations and exceptions, including fair use. For other uses, please ask permission from the author.
-
http://rightsstatements.org/vocab/InC/1.0/
-
Department
-
Mathematics
-
Faculty Sponsor
-
Ben Cote'
