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Golden Ratio? is it always from a small piece?
I can tell how to find a phi from a square, which then can be called as a golden rectangle.
but the problem is, i watched on youtube that a small piece can be cut into two pieces. then:
_____________________
A . . . . . . .. . B. . . . . . . C
AC/AB = AB/BC
so i picked AC = 2, AB = 1.1 , BC = 0.9
If I apply the ratio, it won't get close to the 1.6180
another question? do all the rectangles apply to the golden ratio?
thank you all :)
so that means not every piece has a golden ratio?? that means it depends..is this true?
2 Answers
- MorningfoxLv 79 years agoFavorite Answer
If you pick AC = 2, then AB needs to be 1.23607, and BC is 0.76393.
2 / 1.23607 = 1.61803, the golden ratio
No, not all rectangles use the golden ratio.
- MartinCLv 49 years ago
Let me elaborate on Morningfox's very good answer. If you choose AC=2, and we let x=AB, then BC=2-x. We can then solve for x to get AC/AB=AB/BC. This gives the equation 2(2-x)= x^2. This will give the solution that MorningF got. The point is that once you fix one of the sides, in order to solve the golden ratio, the lengths of the other two sides is determined.
