DNA
The measurements of DNA are also Fibonacci numbers. DNA measures 34 angstroms long by 21 angstroms wide. Also, cell DNA, or B-DNA demonstrated Phi in the ratio of the major groove to the minor groove, approximately 21 angstroms to 13 angstroms.
There is also some speculation that the top view of DNA is a decagon. How does this connect? The decagon is made of 2 pentagons, one for each helix. Pentagons are constructed using Phi. The ratio of a diagonal of a pentagon to its side is equal to Phi:1.
Phi is directly based on the number 5.
Φ = (square root of 5 + 1)/2
Φ = 5^.5 x .5 + .5
Φ = square root (5 + square root of 5 / 5 - square root of 5)
There is also some speculation that the top view of DNA is a decagon. How does this connect? The decagon is made of 2 pentagons, one for each helix. Pentagons are constructed using Phi. The ratio of a diagonal of a pentagon to its side is equal to Phi:1.
Phi is directly based on the number 5.
Φ = (square root of 5 + 1)/2
Φ = 5^.5 x .5 + .5
Φ = square root (5 + square root of 5 / 5 - square root of 5)
Plants
Fibonacci and Phi are found in countless elements of nature. Golden Spirals can be found in pinecones, sunflowers, pineapples, and many other plants. Also the petals and phyllotaxis of plants commonly grow in Fibonacci numbers. Lillies, buttercups, roses, delphinium, marigolds, black eyed susans, pyrethrum, and daisies all have a Fibonacci number of petals.
The branching of plants and trees is also based in Fibonacci numbers. (see left)
It is also the case that plants grow in Fibonacci and Phi because it is the most beneficial to their growth and life.
The branching of plants and trees is also based in Fibonacci numbers. (see left)
It is also the case that plants grow in Fibonacci and Phi because it is the most beneficial to their growth and life.
Space
The Golden Ratio is present in many dimensions of Saturn and its rings, and the moon and the earth are in a relationship that demonstrated the Golden Triangle. Also, many galaxies are Golden Spirals.
Animals
Many animals are divided into golden sections and show the golden ratio in their structure.
Dolphins
Moths
Seashells
Angel Fish
Penguins
Tigers
Ants
Koala Bears
Seastars
Dolphins
Moths
Seashells
Angel Fish
Penguins
Tigers
Ants
Koala Bears
Seastars
Human Proportions
The human body shows possibly the most examples of the golden ratio. Below are a few of the proportions in relation to our height.
1 From the head to the fingertips is a golden section of our height.
2 From the head to the bellybutton and elbows is a golden section of the head to the fingertips.
3. From the head to the chest and inside of arms, as well as the width from shoulder to shoulder is a golden section of the head to the navel.
4 From the head to the base of the skull and the width of our abdomen is a golden section of the head to the chest.
5. The width of our head is a golden section of the head to the base of the skull.
Similarly to Phi, the human body is based in 5. We have 5 appendages to our torso (legs, arms, head), 5 fingers on each hand, and 5 toes on each foot, and 5 openings on face, as well as 5 senses.
The ear is a Golden Spiral.
1 From the head to the fingertips is a golden section of our height.
2 From the head to the bellybutton and elbows is a golden section of the head to the fingertips.
3. From the head to the chest and inside of arms, as well as the width from shoulder to shoulder is a golden section of the head to the navel.
4 From the head to the base of the skull and the width of our abdomen is a golden section of the head to the chest.
5. The width of our head is a golden section of the head to the base of the skull.
Similarly to Phi, the human body is based in 5. We have 5 appendages to our torso (legs, arms, head), 5 fingers on each hand, and 5 toes on each foot, and 5 openings on face, as well as 5 senses.
The ear is a Golden Spiral.
Human Face
The human face is also based in Phi, being perfectly contained within a Golden Rectangle. The mouth and the nose are also located at golden sections of the distance from the eyes to the chin. Other facial proportions include:
Center of pupil: Bottom of teeth: Bottom of chin
Outer and inner edge of eye: Center of nose
Outer edges of lips: Upper ridges of lips
Width of eye: Width of iris
Width of front tooth: Width of second tooth
Many people also believe that Phi is connected to beauty. Dr Stephen Marquardt has studied cross-gender and cross-cultural facial beauty and believes it is directly related to Phi. He developed a face mask based on Phi to apply to faces. Johnny Depp, Tom Cruise, and Nefertiti all fit the face mask.
Center of pupil: Bottom of teeth: Bottom of chin
Outer and inner edge of eye: Center of nose
Outer edges of lips: Upper ridges of lips
Width of eye: Width of iris
Width of front tooth: Width of second tooth
Many people also believe that Phi is connected to beauty. Dr Stephen Marquardt has studied cross-gender and cross-cultural facial beauty and believes it is directly related to Phi. He developed a face mask based on Phi to apply to faces. Johnny Depp, Tom Cruise, and Nefertiti all fit the face mask.
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