The Golden Ratio

Lynn DeRosaCarole McMahon

Carol Herb

Golden Ratio In Nature

• the Human body• Shells

•Sunflowers and Pinecones•Moths and Butterflies

•Spiral Growth

Golden Ratios in the Human Body

Total Height : Navel to FloorLength of Index Finger : Length from Finger

Tip to KnuckleLength of Arm : Length Finger Tip to Elbow

Combined Length of two Center Teeth : Height of the Center Teeth

The Pyramids of Giza

ParthenonVirtruvian Man

Mona Lisa

The Golden Ratio in Art and Architecture

Euclid described the Golden Ratio as the Golden Section, a

line segment divided according to the golden ratio.

b

a

a

ba

Fibonacci’s ratios and the Golden Rectangles1, 1, 2, 3, 5, 8, 13, 21,…. As you go farther and farther to the right of the

sequence, the ratio of a term to the one before it will get closer and closer to the Golden Ratio. Continue adding squares whose sides are the longer side of the rectangle.

YouTube Video on Golden Ratio

www.youtube.com/watch?v=fmaVqkR0ZXg