Drop Dead Gorgeous. Curricular targets Solve simple problems involving ratio and proportion. Calculate statistics for small sets of discrete data: –Find.

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Presentation transcript:

Drop Dead Gorgeous

Curricular targets Solve simple problems involving ratio and proportion. Calculate statistics for small sets of discrete data: –Find the mode, median and range. –Calculate the mean in simple cases. Construct, on paper and using ICT, simple scatter graphs.

Person 1Person 2 Person 3Person 4Average rating Celebrity 1 Celebrity 2 Celebrity 3 Celebrity 4 Celebrity 5 Celebrity 6 Celebrity 7 Celebrity 8 Celebrity 9 Celebrity 10

Chairs!

The Fibonacci Sequence

Fibonacci & Sunflowers

Fibonacci & Snails

Calculators

Fibonacci & the Golden Ratio Fibonacci Sequence Ratio of successive terms

A B C 1:1 1:2 1:1.618

The Golden Ratio, Art and Beauty The Parthenon Athens Greece

The Golden Ratio, Art and Beauty

Rembrandt Seurat Turner

The Golden Ratio, Art and Beauty m m m

The Golden Ratio, Art and Beauty Now it’s getting silly

The Golden Ratio, Art and Beauty A B C D

Michelangelo Raphael

The golden rectangle Follow these instructions to construct your own golden rectangle. 1.Draw a square of any size. 2.Mark on it the midpoint of the base, X. 3.Extend the baseline. 4.Open up your compasses. Put your compass point on X and pencil point on A. Draw an arc to the baseline. 5.Construct a perpendicular from Y, where your arc meets the baseline and finish off your rectangle. ●Repeat this for three different starting squares. ●For each one of your constructions, find the ratio length : width.

The Golden Ratio Golden ratio (phi or φ) or ……. Try calculating Φ² and 1/ φ n th term of the Fibonacci Sequence = φ n /√5

The Golden Ratio, Art and Beauty

a = top-of-head to chin b = top-of-head to pupil c = pupil to nose tip d d = pupil to lip e = width of nose f = outside distance between eyes g = width of head h = hairline to pupil i = nose tip to chin j = lips to chin k = length of lips l = nose tip to lips

The Golden Ratio, Art and Beauty The ratio of the width of the nose to the width of the mouth in a beautiful face is 1:1.618, the Golden Ratio. Now take the distance from the hairline to the tip of the nose and then the distance between the nose and the chin. The ratio on an attractive face will be… you guessed it, 1: So, the more beautiful a face, the more it will fit in the mask. From Queen Nefertiti to Greta Garbo to Cindy Crawford, beautiful faces fit within the measurements of the mask almost exactly. Even Jessica Simpson, while some people may question the beauty of her music, seems to have a face that fits the geometric proportions of the Golden Ratio.

The Golden Ratio, Art and Beauty Click on Shrek to see how phi can determine how beautiful you really are Skip intro and select ‘Our Research’

Making the mask Click on the image to see how the mask is created

Assessment & Self Evaluation