The golden ratio is related to the square root of five. (To be exact, it's equal to half the square root of five plus a half.) Many shapes involving fivefold symmetry will have ratios of root five, and thus be related to the golden ratio in some way. If you look hard enough, you can also find phi in three-dimensional fivefold shapes, such as icosahedrons.
The golden ratio is related to the square root of five. (To be exact, it's equal to half the square root of five plus a half.) Many shapes involving fivefold symmetry will have ratios of root five, and thus be related to the golden ratio in some way. If you look hard enough, you can also find phi in three-dimensional fivefold shapes, such as icosahedrons.