next
Fibonacci
Fibonacci numbers take their name from Leonardo Fibonacci, a medieval Italian scholar. They form a sequence in which each number is the sum of the two numbers before it:
0 + 1 = 1 1 + 1 = 2 1 + 2 = 3 2 + 3 = 5 3 + 5 = 8 5 + 8 = 13 8 + 13 = 21 13 + 21 = 34 and so on, ad infinitum…
The relationship of any number in the sequence to the one before it underpins the concept of the Golden Mean Ratio, an idea widely used by architects and others seeking to create objects that have aesthetic and psychological appeal. Fibonacci numbers are found everywhere in the natural world - in cauliflowers and pineapples, the shells of snails and turtles, the number of petals on flowers, the seed heads of sunflowers, pine cones, hurricanes, spiral galaxies…
In the reduced Fibonacci sequence any multi-digit number is reduced to a single digit by adding together the digits it contains, for example:
13 becomes 4 21 becomes 3 34 becomes 7 ...
Intriguingly, in the reduced Fibonacci sequence, the pattern of digits repeats every 24 digits ad infinitum.