Fibonacci sequence and shells

Aneed Anand Naranan @Narayanan, (2007) Fibonacci sequence and shells. Universiti Malaysia Sabah. (Unpublished)


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Shells are the exoskeleton of certain creatures which include mollusks. Previously a research was conducted to show the relevance of the Fibonacci sequence on the spiral shape on the nautilus shell. This concluded in the usage of the Golden Rectangle which is now widely used to describe many different types of spirals including spirals of galaxies. The Fibonacci sequence is connected to the Golden Ratio therefore this dissertation is not only directly concentrated on the Fibonacci sequence. In this dissertation, a lot of concentration was given to two main types of shells; the gastropod family shells and the bivalve family of shells. These two types of shells are abundantly found on the beaches of Malaysia. Beach combing method was used to collect these shells, which is basically the method of walking by the beach and collecting shells that meets the eye. As for the analysis part, the shells were observed and compared to many shapes to find the relevance of the Fibonacci sequence and the Golden Ratio in these shells. A sample size of 20 shells for each type of shell was used to ascertain that the conclusion would include shells of different size too. As a result, three main diagrams were created to prove the Fibonacci sequence and the Golden Ratio on six different types of shells particularly from the gastropod and bivalve families.

Item Type: Academic Exercise
Uncontrolled Keywords: Shells, Molluska, Nautilus shell, Fibonacci sequence, Golden Ratio
Subjects: Q Science > QL Zoology
Divisions: SCHOOL > School of Science and Technology
Depositing User: Unnamed user with email
Date Deposited: 03 Aug 2012 00:31
Last Modified: 23 Oct 2017 06:49

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