digital design: fibonacci and the golden ratio. leonardo fibonacci aka leonardo of pisa 1170 – c....

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Digital Design: Fibonacci and the Golden Ratio

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Page 1: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Digital Design: Fibonacci and the Golden

Ratio

Page 2: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Leonardo Fibonacci

• aka Leonardo of Pisa • 1170 – c. 1250

Page 3: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250
Page 4: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Fibonacci Sequence

1+1=2 1+2=3 2+3=5

3+5=8 5+8=13

8+13=21

Page 5: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

The Golden Ratio

Page 6: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Phi = 1.618

Page 7: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Phi Grid

Page 8: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Phi Grid Examples

Page 9: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Phi Grid Examples

Page 10: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Phi Grid Examples

Page 11: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Golden Ratio in the Body

Page 12: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Golden Ratio in the Body

Page 13: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Golden Ratio

Page 14: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

The Fibonacci/Golden Spiral

Page 15: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

The Golden Spiral in Nature

Page 16: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

The Golden Spiral in Nature

Page 17: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

The Golden Ratio in Nature

Page 18: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

The Golden Ratio in the Ancient World

Page 19: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

The Golden Ratio in Art

Page 20: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

The Golden Spiral in Art

Page 21: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

In Digital Design

Page 22: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

In Digital Design

Page 23: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

In Digital Design

Page 24: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

In Digital Design

Page 25: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

In Digital Design

Page 26: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

In Digital Design

Page 27: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

In Digital Design

Page 28: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

In Digital Design

Page 29: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

In Digital Design

Page 30: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Rule of Thirds

http://en.wikipedia.org/wiki/Rule_of_thirds#mediaviewer/File:Rivertree_thirds_md.gif

Page 31: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Rule of Thirds

Page 32: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

The Golden Ratio and

Golden Spiral in Use

Page 33: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

The Golden Spiral Template

Page 34: Digital Design: Fibonacci and the Golden Ratio. Leonardo Fibonacci aka Leonardo of Pisa 1170 – c. 1250

Phi Grid Template