We all are aware that circles are perfectly proportioned and so are squares. But did you know there is such a thing as the "Perfect Rectangle"? This "Golden Rectangle" possesses a golden ratio known as,"Phi". Phi can be represented in many mathematical ways - .618(Lowercase phi), .381(inverse phi), or 1.618(Uppercase PHI) . They all refer to Phi...the golden ratio. A ratio is simply a relationship between 2 things.
- 1 divided by Phi is PHI. That's 1 / .618 = 1.618
- phi squared is still phi. That's .618 x .618 = .381. It's still phi the golden ratio...just represented differently.
- What makes Phi so unique? It's the only number that you can divide into 1 and still remain itself. It's also the only number that you can multiply into itself and still remain phi.
- Geometrically: If you take a golden rectangle(1 width x 1.618 length) and you divide it lengthwise...you will end up with another "mini" golden rectangle. No matter how many times you divide the golden rectangle...you'll only end up with a whole bunch of replicas. The tiniest fragment is an exact copy of the whole. No other proportion/ratio/number can do this! Phi is unique!
- Mathematically Only the Golden Rectangle fulfills these 2 statements> (i) A = B+C (ii) B/A = C/B. So the tiniest golden rectangles are an exact copy of the whole.
- Since Phi can divide and replicate like a living cell...isn't Phi "alive"?
- In Nature - Perhaps you've heard of the Fibonacci sequence 1,2,3,5,8,13,21,34,55 and so on. Well if you ever counted the spirals & counter-spirals on a strawberry, pine cone or sunflower...you'll notice a pattern. For instance: on a sunflower you'll notice 34 spirals going clockwise & 55 spirals going counter-clockwise. The spiral ratio 34/55=.618. The spiral ratio 55/34 = 1.618 . This is Phi: The Golden Ratio manifests itself in nature!
- Galaxies and Plants spiral and grow outwardly applying the Golden Ratio: Plants branch outwardly at either 137.5 degrees or 222.5 degrees. Notice that 137.5 degrees & 222.5 degrees relative to a full circle(360 degrees) is the golden ratio Phi! That's 137.5/360=.381. That's 222.5/360=.618. The spiral & counter-spiraling branches relative to each other is Phi. That's 137.5/222.5=.618 or 222.5/137.5=1.618. The reason why plants use a "Phi" angle is because this angle allows the most efficiency in photosynthesis.
- Phi is a "spiritual connection" or "the force". The Phi ratio - is a relationship in-between inanimate objects which give them "life".
- Phi is also known as "Tau"...meaning "to cut".
