The golden ratio is a number, represented by the symbol φ, such that between φ and 1, along with 1 and 1- φ, the ratio is the same. It is an irrational number explicitly created by the formula 1+√52 = 1.618033988 (Beck and Geoghegan). Like fractals, the golden ratio unifies several different areas of mathematics together. Interestingly enough, it is also found in many places in nature. The golden ratio has been detected even at the quantum level, where liked magnetic atoms appear to vibrate at frequencies described by φ.
The Fibonacci sequence is a number sequence, essentially 1,1,2,3,5,
Continue reading...