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Fibonacci numbers are 1, 1, 2, 3, 5, 8, 13, ...
You add two previous terms you get the next term.
If you put F(n) as the nth Fibonacci number,
the golden ratio (φ) is
lim(n→inf) F(n+1)/F(n)
that is because
F(n) = (φ^n-(-φ)^(-n))/(√5)
Other properties of φ
φ = (1+√(5))/2
1/φ = φ-1
φ2 = φ+1
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What is an experiment for the golden ratio of beauty?
I'm currently doing a project on this, My project is based on the idea that if you had a group of rectangles and one of them was in the Golden ratio then they would prefer the golden ratio over the others.See related link below for more help
What does Fibonacci and the golden ratio have in common?
The ratio of dividing the larger Fibonacci number into the smaller Fibonacci number gives you the golden ratio (1.618 to 1). -------- The Golden Ratio is the number (1+sqrt(5))/2~=1.618 The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... . Skipping the first two terms, if you divide one term in this sequence by the previous term the resulting sequence converges to the Golden Ratio: 1.0000 2.0000 1.5000 1.6667 1.6000 1.6250 1.6154 1.6190 1.6176 1.6182 1.6180 Please see the link for more information.
What is the link between ratio and fractions?
well a synopsis of it is that a fraction is a for of splitting something in to pieces like 1\2 is half of anything. where as a ratio is just a number divided by another number. In a 100:10 form which is 100 divided by 10 and the answer is obviously 10.
How do you calculate sharpe ratio in Excel?
The related link provides an excel template and some notes on how to calculate the sharpe ratio..pretty simple and effective.
What are the scale or levels of measurements?
Nominal, ordinal, interval and ratio. Please see the link.
History of the golden ratio?
See the link below
What is an experiment for the golden ratio of beauty?
I'm currently doing a project on this, My project is based on the idea that if you had a group of rectangles and one of them was in the Golden ratio then they would prefer the golden ratio over the others.See related link below for more help
Where is the golden ratio used?
It is used in nature all the time. Buds on plant stalks sprout using the Golden Ratio. When architects use the Golden ratio to design a building , the building looks good, and feels good. The Parthenon on the Acropolis in Athens, Greece is such a building. Good artist s often unconciously use the Golden Ratio ; the focus of a painting is never in the centre of the canvas, but at the golden ratio. The ratio is 1: 1.618.... or (phi) = (1 + sqrt(5)) / 2 it is an Irrational number. It also goes by the names , Golden Number, Devine Section, God's Number, etc., Have a look in Wikioedia under 'Golden Ratio'.
Why is the golden ratio used in cubism?
Click link below. In the paintings shown you will see the geometrical details.
Who invented the the golden ratio?
There are several who discovered the significance of this ratio (see related link post). Euclid (around 300 BC) noted the ratio, but it looks like it was referred to as 'Golden' by Martin Ohm in 1835.
When was The Golden Link created?
The Golden Link was created in 1954.
Are the Torus the Vector equilibrium the Phi spiral or Fractals related?
The Torus vector equilibrium is a vortex by which nature forms energy into matter. The Phi spiral also known as the Golden ratio is commonly found in nature. At this time there is no link between the torus vector equilibrium and the phi spiral, although a link between the two has not been disproved.
When was Golden Link College created?
Golden Link College was created in 2002.
What does Fibonacci and the golden ratio have in common?
The ratio of dividing the larger Fibonacci number into the smaller Fibonacci number gives you the golden ratio (1.618 to 1). -------- The Golden Ratio is the number (1+sqrt(5))/2~=1.618 The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... . Skipping the first two terms, if you divide one term in this sequence by the previous term the resulting sequence converges to the Golden Ratio: 1.0000 2.0000 1.5000 1.6667 1.6000 1.6250 1.6154 1.6190 1.6176 1.6182 1.6180 Please see the link for more information.
What is the link to take you to the official website of the Golden Globes Awards?
Golden Globes Awards WebsiteA click on the Related link takes you to the official website of the Golden Globes Awards.
Is there a connection between the Sharpe optimal ratio and the CAPM?
The portfolio with the highest Sharpe ratio is on the efficient frontier, according CAPM. The Excel spreadsheet at the related link allows you to calculate a Sharpe optimal portfolio
What is laing tetrahedron?
The Laing tetrahedron is a type of tetrahedron with edge lengths that are in proportion with the golden ratio, φ (1.618...). It is named after Alexander Laing who studied this unique geometric shape.
