golden ratio golden section fibonacci numbers 1, 1, 2, 3, 5, 8, 13….. the ratio of any consecutive...
TRANSCRIPT
GOLDEN R
ATIO
GOLDEN SECTION
Thought to be the “most pleasing” ratio
“Golden Rectangle” the ratio of the sides =
FIBONACCI NUMBERS
1, 1, 2, 3, 5, 8, 13…..
The ratio of any consecutive numbers is the golden ratio
A pattern found in nature all the time
• Mating habits of bees
• Number of flower petals on a flower
Golden Rectangle
• Made by grouping squares that measure with lengths of Fibonacci numbers
• The spiral made is found in nature
GOLDEN SPIRAL
MODERN USES
WHERE IS
IT F
OUND?
Leonardo da Vinci
Leonardo's famous Mona Lisa reflects the artist’s use
of the Golden Section. * The rectangle around her
face represents a Golden rectangle.
* If you subdivide the rectangle at the eyes the
vertical side of the rectangle is divided by the
golden ratio.
Even in the time of the ancient Greeks, the golden rectangle
was considered a pleasing shape. It
appears in many of the proportions of the Parthenon in Athens,
Greece.
GOLDEN RATİO İN HUMAN HAND AND ARM
Look at your own hand The length of different parts in your arm also fits the golden ratio.
MUSIC
On a piano: There are 13 of each note
A scale has 8 notes
The 5th and 3rd notes are considered the foundation of all chords
This follows the Fibonacci Sequence
Parts of a musical work: the big “hit” of a piece of music is approximately .618 of the way though a piece of music
GOLDEN RATIO AND THE FACE
The ratio of different parts of your face (ideally) meet the golden ratio.
Directions: Measure your partner’s face and then plot the ratios on our class histogram. Record these histograms on your sheet