The Fibonnaci Sequence and the Golden Section
Leonardo Fibonnaci was a thirteenth century mathematician who devised a sequence of numbers, each being the sum of the previous two - 0 + 1 = 1 ; 1 + 1 = 2 ; 1 + 2 = 3 ; 2 + 3 = 5 ; 3 + 5 = 8 ; 5 + 8 = 13 ; 8 + 13 = 21 etc.
The numbers in the sequence are in the same ratio as a number of patterns in nature:
- the spiral of seeds in a sunflower
- the spiral of shells and ammonites
- pine cones
- the division of stems and branches of plants and trees
- the number of petals in a flower
Using these proportions makes a pleasing series of stripes, and all the following designs are made by cutting paper using the sequence and rearranging them.