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By Martha Fitzsimmons And Katie Bond. Rose with three petals Flower with three petals r= a sin(3  ), a>0 r= a cos(3  ), a>0.

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Presentation on theme: "By Martha Fitzsimmons And Katie Bond. Rose with three petals Flower with three petals r= a sin(3  ), a>0 r= a cos(3  ), a>0."— Presentation transcript:

1 By Martha Fitzsimmons And Katie Bond

2 Rose with three petals Flower with three petals r= a sin(3  ), a>0 r= a cos(3  ), a>0

3 Rose with four petals Flower with four petals r= a sin(2  ), a>0 r= a cos(2  ), a>0

4 The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89… The numbers in the sequence are obtained by adding the two previous numbers: 1+1=2 1+2=3 2+3=5 3+5=8 5+8=13 8+13=21 13+21=34 21+34=55 34+55=89

5 Logarithmic Spiral  =5 ln r

6 Golden Ratio The golden ratio is based on the Fibonacci sequence. Φ = 1.618 033...

7 Fractals A rough or fragmented geometric shape that can be split into parts, each of which is a reduced-size copy of the whole

8 Symmetry In nature symmetry is protection or intimidation

9 Reflection Often found in bodies of water

10 Patterns From old rugs to new sculptures patterns are appealing to the eye

11 Rotation Often used in sports and in art

12 Dilations Used in graphing Growing and shrinking pictures for projects Used in medical Eye exams Giving birth

13 Identify the Following: Reflection

14 Identify the Following: Symmetry

15 Identify the Following: Fractals


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