Fibonacci Series in Nature: Exploring Biological Patterns and Examples

This report explores the application of the Fibonacci series in nature. It examines how the Fibonacci sequence appears in various biological contexts, including bee families, tree growth, and rabbit procreation. The report details the mathematical basis of the Fibonacci sequence, and how it manifests in these biological systems. The report references the growth patterns in trees, the reproductive cycles of rabbits, and the family tree of bees. The document includes a table summarizing the Fibonacci sequence as applied to the bee family, and a figure representing the tree growth. The report provides a clear understanding of the Fibonacci sequence and its relevance in the natural world.

Running head: FIBONACCI SERIES IN NATURE
FIBONACCI SERIES IN NATURE
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1FIBONACCI SERIES IN NATURE
Fibonacci Numbers in Honeycombs, Trees and Rabbit Procreation
The Fibonacci number series is an incremental growth of numbers that considers the
last two numbers of the sequence for its operations. The two numbers are summed up
together to produce the third number of the sequence and thereby the series follows. The
application of Fibonacci series is reflected in the nature too.
In the example of bee family, each bee colony comprises of a special queen bee, the
other female bees that do not work and other male drone bees. The unfertilized eggs of the
queen bee give birth to male bees and the fertilized eggs give birth to female ones. Hence, a
male bee has one single parent unlike the female bee who has two parents. Thus, if the family
tree of a male bee is considered, it increases sequentially from its mother bee who was born
of two parents, a male and a female bee (Perera & Coppens, 2018). Amongst these
grandparent bees, the female bee again has two parents, while the male has only one parent,
summing up to three bees in total.
Number of Parents Grand
Parents
Great Grand
Parents
Great Great
Grand
Parents
Great Great
Great Grand
Parents
Male Bees 1 2 (1+1) 3 (2+1) 5 (2+3) 8 (3+5)
Female Bees 2 (1+1) 3 (2+1) 5 (2+3) 8 (3+5) 13 (5+8)
Table 1: Mathematical Calculation of Fibonacci Series in a Bee Family
Fibonacci growth is best observed in trees where two branches grow out from a single
big trunk. Among these two branches, one is strong enough and splits into two, while the
other branch matures to adulthood before splitting. In this way, the tree grows sequentially
maintaining the Fibonacci pattern.

2FIBONACCI SERIES IN NATURE
Figure 1: Fibonacci Series in Tree Growth
Source: ("Fibonacci Tree", 2020)
According to Ghosh (2018), in case of rabbit procreation too, the couple rabbit gives
birth to a pair of a boy and a girl rabbit. After maturing, this pair again gives birth to another
pair and the Fibonacci sequence is maintained at the end of every month.

3FIBONACCI SERIES IN NATURE
References
Fibonacci Tree. (2020). Retrieved 14 January 2020, from
https://botanicamathematica.wordpress.com/2014/04/01/fibonacci-tree/
Ghosh, N. (2018). Fibonacci numbers in real life applications. Mugberia Gangadhar
Mahavidyalaya, 1, 62-69.
Perera, A. S., & Coppens, M. O. (2018). Re-designing materials for biomedical applications:
from biomimicry to nature-inspired chemical engineering. Philosophical
Transactions of the Royal Society A, 377(2138), 20180268.