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# Golden rectangle

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### Golden rectangle

1. 1.  Also known as The Golden Mean, φ (Phi), The Golden Proportion Named after Phidias, a greek sculptor that used the golden ratio in his sculptures. Phi ≈ 1.618
2. 2.  Equation: (a + b)/a = a/b ≈ 1.618
3. 3.  If you look at the sequence of fibonacci numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34 you will find that 1/1 = 1 2/1 = 2 3/2 = 1.5 5/3 = 1.6666... 8/5 = 1.6 13/8 = 1.625 21/13 = 1.61538... 34/21 = 1.61904...
4. 4.  Resulting, as the numbers settle, into the value called the Golden Ratio which is approximately 1.618
5. 5. (history of the goldenrectangle and the goldenratio)
6. 6.  Draw a square. Extend two parallel sides. Draw a line from the midpoint of one side of the square to the opposite corner. Using the line you just drew as a radius, draw an arc between the twoparallel lines.
7. 7.  Draw a perpendicular line from between the parallel lines from the intersection of the arc on the bottom line. You now have a golden rectangle!
8. 8.  Also Known as a Fibbonacci Spiral