by: mark weimer apollo technology education photography & math…. huh?

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BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?

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Page 1: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?

BY: MARK WEIMERAPOLLO TECHNOLOGY EDUCATION

Photography & Math…. huh?

Page 2: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?

Assumption: rabbits only gave birth to pairs

Leonardo Pisano Bigollo (1180-1250),

•Son of a merchant

•Math & Business

•Hindu/Arabic math

•- base 10

•- first to use zero

•Wrote “Liber Abaci”

Page 3: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?

Fibonacci’s Sequence is born. (We think)

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,…..Fibonacci receives all the credit.

Page 4: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?

Pascal’s Triangle

Page 5: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?

The “Golden Ratio” of 1.618034….

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89….

3/5= .65/8= .6258/13= .61513/21 = .61921/34= .61834/55 = .6181…. Each number is about 1.618x

larger than the previous number. Or, a number is about 62% the size of the next. (.6181 and 1.618 are reciprocals…)

Page 6: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?
Page 7: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?

Fibonacci Spirals

Page 8: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?
Page 9: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?
Page 10: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?
Page 11: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?
Page 12: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?
Page 13: BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?

Why use the Rule of Thirds?