BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?
Assumption: rabbits only gave birth to pairs <ul><li>Leonardo Pisano Bigollo (1180-1250),  </li></ul><ul><li>Son of a merc...
Fibonacci’s Sequence is born.  (We think) <ul><li>1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,….. </li></ul><ul><li>Fibonacci rec...
Pascal’s Triangle
The “Golden Ratio” of 1.618034…. <ul><li>1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89…. </li></ul><ul><li>3/5= .6 </li></ul><ul><l...
 
Fibonacci Spirals
 
 
 
 
 
Why use the Rule of Thirds?
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Photography & Math

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Is there a connection in composing photographs and mathematics?

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  • Each step in the sequence represented the number of pairs of rabbits after each month Fibonacci assumed the rabbits did not die Fibonacci was making the case that the Arabic numerical system was superior to Roman numerals, and would help Italian business
  • Evidence exists that Hindu and Arabic mathematicians had already discovered the sequence, but Fibonacci’s book heightened awareness.
  • - One example of Fibonacci Sequence within Pascal’s triangle
  • Also known as the Golden Mean Often simplified or approximated to 3/5 or 5/3 The ratio is considered an irrational number like Pi.
  • Human proportions based on Golden Mean The DNA molecule, the program for all life, is based on the golden section.  It measures 34 angstroms long by 21 angstroms wide for each full cycle of its double helix spiral.
  • Play slide to see center animation…. Each box is a SQUARE! Each box houses a ¼ of a circle, and the radius equals the size of the box.
  • Fibonacci spiral applied to a photographs
  • - Golden Mean is very common in architecture
  • “ Rule of Thirds” is very common in photography and video production. Is the rule of thirds simply an approximation of the Golden Mean? 2/3 = .6666 approx = .6108….
  • Photography & Math

    1. 1. BY: MARK WEIMER APOLLO TECHNOLOGY EDUCATION Photography & Math…. huh?
    2. 2. Assumption: rabbits only gave birth to pairs <ul><li>Leonardo Pisano Bigollo (1180-1250), </li></ul><ul><li>Son of a merchant </li></ul><ul><li>Math & Business </li></ul><ul><li>Hindu/Arabic math </li></ul><ul><li>- base 10 </li></ul><ul><li>- first to use zero </li></ul><ul><li>Wrote “Liber Abaci” </li></ul>
    3. 3. Fibonacci’s Sequence is born. (We think) <ul><li>1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,….. </li></ul><ul><li>Fibonacci receives all the credit. </li></ul>
    4. 4. Pascal’s Triangle
    5. 5. The “Golden Ratio” of 1.618034…. <ul><li>1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89…. </li></ul><ul><li>3/5= .6 </li></ul><ul><li>5/8= .625 </li></ul><ul><li>8/13= .615 </li></ul><ul><li>13/21 = .619 </li></ul><ul><li>21/34= .618 </li></ul><ul><li>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…) </li></ul>
    6. 7. Fibonacci Spirals
    7. 13. Why use the Rule of Thirds?

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