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….
![Assumption: rabbits only gave birth to pairs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)