Aim: What is the Golden Section?

Presented by : Kamile Perskaudaite, Nicole Maetta, Keith Newman, and Rawan

Abouzeid

OAlso known as the Golden RatioO An irrational number, approximately

1.618, with special propertiesO Interesting property: The reciprocal of

the Golden Ratio has the same decimal integers (1/1.618 = 0.618)

O Found in nature, art, and architecture, it also used in geometry when finding ratios of distances in simple figures

O Things with the Golden Ratio are visually appealing

Fibonacci Sequence and the

Golden Ratio • Related not in numbers,

but ratios between numbers

• Whenever you divide a number in the sequence by the previous number, you obtain the Golden

Ratio

• As you continue, the number gets closer to the

ratio

• 1,1,2,3,5,8,13,21,34,55 …

The equation most commonly used to find

the value of phiO Basic property: O Simplify like a normal quadratic function:

O Substitute intoquadratic formula:

The most common way of depicting the Golden

Ratio:O Known as the Golden SectionO a/b = b/c = phi

1,1,2,3,5,8,13 …

It’s the Fibonacci sequence!

Where else does the Golden Ratio exist?

Also applies to humans!

O Dr. Stephen Marquardt developed the Marquardt beauty mask using the Golden Ratio O Can be applied to both genders and

all races

Bibliography O http://cuip.uchicago.edu/~dlnarain/

golden/activity8.htmO http://www.goldennumber.net/

goldsect.htmO http://www.geom.uiuc.edu/

~demo5337/s97b/figures.htmO http://mathworld.wolfram.com/

GoldenRatio.htmlO http://library.thinkquest.org/C005449/