Презентация на тему Golden ratio

unique number, approximately 1.618033989. It is also known as

the Divine Ratio, the Golden Mean, the Golden Number, and the Golden Section.

numbers are a unique sequence of integers, starting with

1, where each element is the sum of the two previous numbers. For example: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, etc.

Ratio
The Fibonacci Sequence is an infinite sequence, which means

it goes on for ever, and as it develops, the ratio of the consecutive terms converges (becomes closer) to the Golden Ratio, ~1.618. For example, to find the ratio of any two successive numbers, take the latter number and divide by the former. So, we will have: 1/1=1, 2/1=2, 3/2=1.5, 5/3=1.66, 8/5=1.6, 13/8=1.625, 21/13=1.615.

Golden Ratio. Even though we know it approaches this

one particular constant, we can see from the graph that it will never reach this exact value.

on DC
Connect MB
Draw a circle with the center of

M, radius of MB
Expand the DC until it meets with the circle. The intersection is one vertex of the rectangle
Complete the rectangle

golden triangle is an isosceles triangle such that the

ratio of the hypotenuse a to base b is equal to the golden ratio. From the above figure, this means that the triangle has vertex angle equal to

the Fibonacci pattern, where the first level has one

"branching" (the trunk), the second has two branches, than 3, 5, 8, 13 and so on. Also, the spacing of leaves around each branch or stalk spirals with respect to the Golden Ratio.

3 sepals (the part of the flower that is

not the petal) that protected the bud are outermost, followed by the 5 outer green petals and an inner layer of 5 more paler green petals.

 

contain the Fibonacci Numbers. The examples are that the

buttercup has 5 petals, delphiniums has 8 petals, ragwort has 13 petals, aster as 21 petals, plantain has 34 petals, and asteraceae family has 55 petals, and some of them have 89 petals.

a former plastic surgeon, has used the golden section

and some of its relatives to make a mask that he claims that is the most beautiful shape a human face can ever have, it used decagons and pentagons as its function that embodies phi in all their dimensions.

teeth form a golden rectangle. There is also a

Golden Ratio in the height to width of the center two teeth. And the ratio of the width of the two center teeth to those next to them is phi. And, the ratio of the width of the smile to the third tooth from the center is also phi.

a great impact on art, influencing artists' perspectives of

a pleasant art piece. Da Vinci, a sculpture, a painter, an inventor and a mathematician, was the first one who first called Phi the Golden Ratio.

rectangle, according to the ratio of the width of

her forehead compared to the length from the top of her head to her chin.

golden ratio in several places, appearing in both the

ceiling and the position where the people sit.

first Golden Ratio is the length from the front

head to the ear opening compared with the length from the forehead to the chin. The second one appears in the ratio of the length from the nostril to the earlobe compare with the length from the nostril to the chin.

appeared in ancient architecture. Not only did the ancient

Egyptians and Greeks know about the magic of Golden Ratio, so did the Renaissance artists, who used the Golden Ratio in the design of Notre Dame in between the 12th and 14th centuries.

the slant height, and the height from the vertex

to the center create a right triangle.

a Golden Ratio in many of the proportions.

width of the building compared with the height of

every ten floors is a Golden Ratio.