23 Sept 2021

Perfection in Creation: The Fibonacci Sequence and Golden Ratio in Nature

Learning Objective:
- To understand the wonders of creation that indicate perfect and precise design. 
- To explore the golden ratio in the human body

Quran Verse: 
And He shows you His signs; which then of Allah's signs will you deny? Surah Ghafir 40:81

Lesson Introduction: 
Wherever you look in the universe, there is order, and proof of design. This precise order and design can be observed everywhere – from the orbits of the planets and the stars, right down to the microscopic level of our cells and our very DNA. This perfect design of our universe, the way it is so finely tuned as so often described by science, proves that randomness and chance can have had no part to play in the design of the universe. The presence of intelligent design proves the existence of an intelligent designer, i.e. Allah.

The Fibonacci Sequence in Nature 
Fibonacci's famous sequence: 0, 1, 1, 2, 3, 5, 8..., and so on, with each term equalling the sum of the previous two terms. This seemingly random sequence has baffled mathematicians and scientists alike, as the sequence and its converging ratio keep appearing in nature. 

- Tree start off with one trunk which splits into 2 and this pattern continues with each new branch.

Several flowers have petals that are numbers of the Fibonacci sequence. Lilies have 3 petals, buttercups have 5 petals, and daisies have 34 petals, for example.

- You are an example of the beauty of the Fibonacci Sequence. You'll notice that most of your body parts follow the numbers one, two, three and five. You have one nose, two eyes, three segments to each limb and five fingers on each hand.

The Golden Ratio
If you divide each term of the Fibonacci sequence by the previous result, you will find that as the numbers get bigger, the ratio converges to 1.618 known as the 'golden ratio'.

Activity: You are Mathematically Perfect!
In pairs, complete the Human Body Measurements Chart. Use inches and carefully measure in a straight line trying not to bend the tape. 

It is incredibly fascinating that even through we all look so different from each other, the proportions in the human body follow the Golden Ratio. Allah has created us with such precision and perfection!

For centuries, artists and sculptors have used the golden ratio to create sculptures and artwork of the ideal human figure. To this day, surgeons and dentists use it to restructure the human face.

Activity: You Can Never Count Allah's Blessings!
The golden ratio an irrational number which means that it never ends and all its digits can never be counted.  Look up Surah Nahl 16:18 in the Holy Qur’an. "If you try to count Allah’s blessings, you will not be able to count them." Doesn't this correlation leave you awe struck?! There is no randomness in creation!

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