Interesting Golden Ratio
Interesting Golden Ratio This book uses simple geometry, trigonometry and algebra to explain how to construct and calculate the golden ratio. Then the value of the ratio is solved by quadratic…
Specifikacia Interesting Golden Ratio
Interesting Golden Ratio
This book uses simple geometry, trigonometry and algebra to explain how to construct and calculate the golden ratio. Then the value of the ratio is solved by quadratic equations, and depending on the initial assumptions, two values are found. Starting from Euclid's propositions in The Elements, the golden ratio and its related geometry such as the pentagon, pentagram and Vesica Piscis are constructed and determined graphically.
Common terms like golden triangle, golden rhombus, golden spiral and golden angle are deduced and explained. It is proposed that the ratio can be obtained easily by applying the Pythagoras' theorem. The connections between the golden ratio and Fibonacci numbers, continued fractions, fractals, chaos and tiling are also introduced.
The conclusion is that it is mathematics and not the golden ratio that is fascinating.
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