Nature

Nature Other than conforming to the Golden Ratio, galaxies share few physical traits. Gravity and angular momentum, or spin, play a role in both cases. But the similarities stop there. Our Galaxy doesn’t really show the Golden Ratio in any way other than the similarities of the spiral.

Nature When we look at the hexagonal shaped honey combs created by the bee, we wonder if they have been predisposed to geometry. Greek scholars have commented on the unique shape of the honey comb and it has been assumed that they are built this way to minimize the amount of wax used to build the structure. Charles Darwin described the honeycomb as a masterpiece of engineering that is "absolutely perfect in economizing labor and wax." (Peterson, 60-1).

Nature There are several random spots in the world in which the Golden Ratio pops up. This one is made from deposits of limestone located in Europe. Notice how the lime deposits make the rectangle that belongs to the Golden Ratio.

Nature The Golden Ratio is sometimes called the Divine Proportion because it is often observed in nature, and some believe that it is God's signature. The sunflower is one of those naturally occurring phenomena. The Golden Ratio is used in the calculation of the seed distance from the center as well as the seed angle. When you look at sunflowers , you will notice that the density of seeds is not repetitive throughout the flower. Seeds toward the center are smaller than the seeds near the edges, so their density is greater.

Nature Butterflies are kind of like galaxies because they don’t necessarily represent the Golden Ratio, they just do a good job of showing off some similarities. Normal butterflies are suppose to be perfectly symmetrical with their wings and you could put they Golen Ratio Rectangle over the wings.