The Golden Ratio is also sometimes called the golden section, golden mean, golden number, divine proportion, divine section and golden proportion, it is a number often encountered when taking the ratios of distances in simple geometric figures such as the pentagon, pentagram, decagon and dodecahedron.
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Golden Ratio Spiral. Fibonacci Spiral. In geometry, a golden spiral is a logarithmic spiral whose growth factor is Phi, the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of Phi for every quarter turn it makes. Fibonacci spiral, which is constructed similarly to the above method except that you start with a rectangle partitioned into 2 squares and then in each step add to the rectangle's longest side a square of the same length. Since the ratio between consecutive Fibonacci numbers approaches the golden ratio as the Fibonacci numbers approach infinity, so too does this spiral get more similar to the previous approximation the more squares are added.
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