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Square with side length equal to a.

Square with side length equal to a.

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Figure 1: Right triangle where a + b a = a b .
Figure 2: Fibonacci spiral.
Figure 3: Nautilus and Fibonacci spiral.
Figure 4: Mona Lisa and Fibonacci spiral.
+4 Figure 5: Square with side length equal to a.
Value of the golden ratio (number Phi) knowing the side length of a square
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  • Jul 2021
This paper explains how to obtain the number Φ, using a square with side length equal to a, the right triangle with sides a/2 and a, and a circle with radius equal to the hypotenuse of this right triangle. In particular, from a square whose side length is equal to a, we will show how to obtain a segment b in such a way that the value of a/b is the...
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... as it shows the Fig. (5), we draw a square with side length equal to a. Next, we divide this square in two equal rectangles, see Fig. (6), and we draw the rectangle diagonal OC (hypotenuse h of the right triangle OCD) as it shows Fig. (7). Now, considering the point O as the center and the diagonal OC as the radius, we draw a circle as it shows Fig. (8), and ...

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Figure 1.1: Right triangle where a + b a = a b .
Figure 1.2: Fibonacci spiral (Image from Quora.com).
Figure 1.3: Nautilus and Fibonacci spiral (Image from divermates.es).
Figure 1.4: Mona Lisa and Fibonacci spiral (Image from imgs.classicfm.com).
+4 Figure 2.1: Square with side length equal to a.
Value of the golden ratio (number Φ) knowing the side length of a square
Article
Full-text available
  • Dec 2021
This paper explains how to obtain the number Φ, using a square with side length equal to a, the right triangle with sides a/2 and a, and a circle with radius equal to the hypotenuse of this right triangle. In particular, from a square whose side length is equal to a, we will show how to obtain a segment b in such a way that the value of a/b is the...
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