Golden Rectangle
The golden ratio has a natural self-similarity. It is defined by that rectangle which can be partitioned into a square plus a remaining area having the same proportions as the original rectangle. There is only one rectangle that satisfies this requirement and the proportions of the rectangle are the golden ratio φ =1.618... The smaller rectangle can be further subdivided in the same way, over and over again, to create a self-similar object. The inscribed curve (which passes through the intersection of the straight lines), is called the "golden spiral". This is a logarithmic spiral defined by r∝exp(bθ) where b = (2/π)ln(φ). This construction is also related to the Fibonacci numbers.