B Y : M A R K W E I M E R

A P O L L O T E C H N O L O G Y E D U C A T I O N

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”

Fibonacci’s Sequence is born. (We think)

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

Fibonacci receives all the credit.

Pascal’s Triangle

Spirals

The Golden Ratio 1.618034….

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

3/5= .6

5/8= .625

8/13= .615

13/21 = .619

21/34= .618

34/55 = .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…)

Fibonacci Spiral vs. Rule of Thirds

Rule of Thirds is the same…well, almost.