The golden ratioThe golden rectangle and the golden ratioThe golden rectangle and the golden ratio have always existed in the universe physical. No one knows exactly when it was discovered and applied to humanity. Many mathematicians assume that the golden rectangle has been discovered and rediscovered several times throughout history. This would explain why it is called many different names such as the golden ratio, divine proportion or golden ratio. The first person believed to have used the golden ratio was Pheidias when he used it to design the statues inside the Parthenon. . This happened between 490 and 430 BC. In the early 300s BC, Plato used the golden ratio to describe the five Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron. Later, in the 300s, Euclid gave the first written definition of the golden ratio, which is an extreme and average ratio. Then, between 1170 and 1250, Fibonacci discovered a numerical series with sequential elements that asymptotically approximate the golden ratio. Between 1445 and 1517, Luca Pacioli defined the golden ratio as the “divine proportion”. Then, between 1550 and 1631, Michael Maestlin published the first known approximation of the inverse golden ratio as a decimal fraction which is 1.61803398875. Very soon after, Johannes Kepler demonstrated that the golden ratio is the limit of the ratio of consecutive Fibonacci numbers. Then, between 1842 and 1891, Edouard Lucas named the numerical sequence the Fibonacci sequence. In 1974, Roger Penrose discovered the Penrose tiling which is a pattern linked to the golden ratio both by the ratio of the surfaces of its two diamond tiles and by their relative frequency within the pattern. The g...... middle of paper. .....n whether they were intentionally or unintentionally inserted into the logo or if it was simply by accident to make it more visually appealing. I wonder if there are places in nature that also contain the golden ratio, but we just haven't discovered them yet. Works Cited “15 Strange Examples of the Golden Ratio in Nature”. Io9. Np, and Web. March 10, 2014. “Golden Ratio.” Golden number. Np, and Web. March 12, 2014. “Golden ratio in geometry”. Golden ratio in geometry. Np, and Web. March 11, 2014.Livio, Mario. The Golden Ratio: The Story of Phi, the Most Amazing Number in the World. New York: Broadway, 2002. “Logo Design” print. Phi 1618 The Golden Ratio RSS. Np, and Web. March 11, 2014. “Phi Formula Geometry.” Phi 1618 The Golden Ratio RSS. Np, and Web. March 12, 2014. “Theology.” Phi 1618 The Golden Ratio RSS. Np, and Web. March 12. 2014.