Golden ratio: The Golden Ratio is a term (with an astounding number of aliases, including Golden Section and Golden Mean) used to describe aesthetically pleasing proportioning within a piece. However, it is not merely a term -- it is an actual ratio.
Whoever wants to understand much must play much. –Gottfried Benn. The Golden Ratio has an interesting property: Its square is only one more than itself. For large numbers, given any Fibonacci number, you can approximate the next Fibonacci number by multiplying the current one by (1+√5)/2, that is F(n+1)≈φF(n).