Fibonacci, Golden Ratio, Phi and Divine Proportion. Adjacent numbers quickly approach a constant ratio equal to the "golden ratio" Ï• (approximately Worth noting: Ï•xÏ• = Ï• + 1 and = Ï• - 1 Also note floral spiral pattern: + = and = Ï• â‰…

Fibonacci Spiral - Golden Spiral Logarithmic spiral whose growth factor is Ï†, the golden ratio - gets wider (or further from its origin) by a factor of Ï† for every quarter turn it makes.

The fractal geometry of the structure of the vacuum of space encoded into our musical systems! For more on the connection between music and Sacred geometry. Explore further the fractal holographic nature of the cosmos: Music and harmony

False Staghorn Fern - Hawaii Volcanoes National Park, Hawaii - Ferns are over 370 million years old. Their rigid stem helps to transport water and nutrients to the plant head.