1:1.618

The Golden Ratios

Phi

Golden Rectangle

Fibonacci Numbers

The series begins with 0 and 1.

Add the last two numbers to get the next.

1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987,...

A special value, closely related to the Fibonacci series, is called the golden section. This value is obtained by taking the ratio of successive terms in the Fibonacci series:

The golden section is normally denoted by the Greek letter phi. In fact, the Greek mathematicians of Plato's time (400BC) recognized it as a significant value and Greek architects used the ratio 1:phi as an integral part of their designs, the most famous of which is the Parthenon in Athens. Phi was not denoted until early 1900’s, by American Mathematician Mark Barr.

The Great Pyramid of Khufu, Cheops (2560 B.C.)

ParthenonBuilt under sculptor Phidias, 447-438 B.C.

Notre Dame, Paris(Built 1163-1250)

Mona LisaLeonardo DaVinci (1452-1519; painted 1503-1506)

Saint JeromeLeonardo DaVinci, Unfinished

DavidMichelangelo (1475-1564)

“The proportions of Michelangelo's David conform to the golden ratio from the location of the navel with respect to the height, to the placement of the joints in the fingers.”

Holy FamilyMichelangelo

Self-portraitRembrandt (1606-1669)

Norham Castle at SunriseJoseph Mallord William Turner (1775-1851)

BathersSeurat (1859- 1891)

Place de la ConcordePiet Mondrian (1872-1944)

Le ModularLe Corbusier (1887-1965)

United Nations BuildingLe Corbusier was on the International Design Committee for the project (1950)

The Golden Rectangle and the Human Face

ART is what happens when you color outside the lines.

LIVE outside the box.