aim: what is the golden section?
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Aim: What is the Golden Section?. Presented by : Kamile Perskaudaite , Nicole Maetta , Keith Newman, and Rawan Abouzeid. Also known as the Golden Ratio An irrational number, approximately 1.618, with special properties - PowerPoint PPT PresentationTRANSCRIPT
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/