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In order for two quantities to be in the Gold Ratio, also called the Golden Mean, then the ratio of the sum of the quantities to the larger quantity has to be equal to the ratio of the larger quantity, to the smaller one. The Mathematical value of the Golden Mean is 1.6180339887.

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What was the name of the geometric form that had the sides matching the ratio of the golden mean?

The geometric form that has sides matching the ratio of the golden mean is called the "golden rectangle." In a golden rectangle, the ratio of the longer side to the shorter side is approximately 1.618, which is known as the golden ratio (φ). This ratio is often found in nature, art, and architecture, contributing to aesthetically pleasing proportions.


How big was Fibonacci's family?

We know that his father was Guglielmo Bonaccio. Leonardo of Pisa, who is generally called Fibonacci today, is not known to have had a family.


What happens when you divide one Fibonacci Number by the previous or next Fibonacci Number?

As the Fibonacci numbers increase (that is as n gets larger and larger):Fn ÷ Fn-1 will tend towards (√5+1)/2 = ø otherwise known as the Golden RatioFn ÷ Fn+1 will tend towards (√5-1)/2 = ø - 1 = 1/ø the reciprocal of the Golden Ratio.For more information of the Golden Ratio, check out the wikipedia entry.


What is the hidden secret in a Fibonacci Sequence?

There is no hidden secret. The ratio of successive terms tends to [1+sqrt(5)]/2 which is known as the Golden Ratio.


What is the Commonwealth Games symbol called?

not sure what its called but it represents the Fibonacci spiral 1,1,2,3,5,8,13 and so on and this is also known as phi spiral which is 1.618...


Who were Fibonacci's parents?

If you are asking about Leonardo of Pisa also known as Fibonacci his parents were Guglielmo and Alessandra.


When was the Fibonacci number sequence discovered?

Leonardo of Pisa, also known as Fibonacci.


Did Fibonacci discover the Fibonacci numbers?

He was not the first to discover it. Fibonacci lived around 1200 AD. He might have discovered it independently but it was known in India from 200 BC.


Did Leonardo Fibonacci work with anyone else?

Leonardo Fibonacci, known for introducing the Fibonacci sequence to the Western world, primarily worked independently. However, he was influenced by earlier mathematicians, especially those from the Islamic Golden Age, such as Al-Khwarizmi, whose works on arithmetic and algebra shaped Fibonacci's understanding. While there’s no record of him collaborating directly with others, his writings reflect the mathematical knowledge of his time, suggesting a broader intellectual community.


Who discovered Fibonacci sequence?

Leonardo Fibonacci, who was also known as Leonardo of Pisa, an Italian mathematician of the 13th Century.


What are the negative Fibonacci numbers called?

The negative Fibonacci numbers (also known as the Negafibonacci numbers) consist of the Fibonacci numbers in an alternating negative and positive pattern.The start of the Negafibonacci sequence runs thus:1, -1, 2, -3, 5, -8, 13, -21...And continues in a pattern identical to the Fibonacci numbers but with alternating negative and positive numbers.


Why was Leonardo Pisano called Fibonacci?

Leonardo Pisano was called Fibonacci because "Fibonacci" was a contraction of "filius Bonacci," which means "son of Bonacci." Leonardo's father's name was Guglielmo Bonacci, and Leonardo himself was known for popularizing the Hindu-Arabic numeral system in Europe through his book "Liber Abaci."