"...the golden ratio - 1.618 - can be seen ‘related not only to aspects of mathematics but also to physics, chemistry, biology and the topology of space-time.’
"And it may dictate how certain things in the universe take shape.
...
"some 20th century artists used it for the rectangular shape of their portraits from the long side to the short side.
...
"‘Spectacular examples include the Whirlpool Galaxy (M51), ammonites, the shape of Nautilus shells, Hurricane Katrina and the distribution of planets, moons, asteroids and rings in the solar system.’
"The researchers suggest that the reason that this ratio is so ubiquitous is that it is actually a property of space-time."
http://www.dailymail.co.uk/sciencetech/article-2862243/Is-space-time-shaped-like-SPIRAL-Universe-golden-ratio-keeps-order-researchers-claim.html