The Da Vinci Code
- jonnellieb
- Oct 22, 2015
- 2 min read
a + b is to a as a is to b
a/b = (a + b)/a = 1.618033987498948420…
Phi = 1.618
Golden Ratio is the cross between the Golden Rectangle and the Golden Spiral (as seen above). This ratio/rule has been used to create beauty and balance in renaissance art. It has been used by many artists such as Michealangelo, Raphael, Slavador Dali.
This Golden rule closely relates to mathematician Leonardo Fobanicci. If you take two Successive Fibonacci numbers you will find that their ratio is close to the Phi. I.e. if you take 3 to 5 you will find that their ratio is 1.6
66 and the higher the numbers the closer it got so; 13:21 = 1.625; 144:233=1.618.
It has even played key parts in famous works of Leonardo Da Vinci such as the Mona Lisa and the Last Supper. One of the most famous Da Vinci related art pieces comes from his sketchbook, The Vitruvius Man. This is the most renowned example of the ratio being used.
If a circle has a radius which equalled 1 unit, square is equal to;
1.656 for Vitruvius man
1.618 for golden section construction
1.571 for the condition: circumference of the circle = perimeter of the square
1.772 for the condition: area of the circle = area of the square.
How to draw the ratio guidelines.
Draw a square and a circle (radius = r1)
Move circle so point A overlaps with point B
Locate centre of the final circle (point 0) by Dividing distance AB in half. Draw a new circle with radius R2 = OA
This should now match the Viturius Man perfectly
The Golden Ratio in real life
The golden ratio is actually not as complicated as it appears to be. This rule of proportion is embedded into our minds without much thought. It can also be found in nature occurring naturally. For example, Pinecones: The spiral pattern of the seed pods spiral upward in opposite directions. The number of steps the spirals take tend to match Fibonacci numbers; Hurricanes: Much like shells, hurricanes often display the Golden spiral.
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