Search the internet regarding "Golden ratio" .Explain its history , significance and find its value in fraction/decimal. Give at least five examples from nature/surroundings/human body/architecture etc manifesting the concept of golden ratio.
Answers
The golden ratio is about 1.618, and represented by the Greek letter phi. ... Two numbers are in the golden ratio if the ratio of the sum of the numbers (a+b) divided by the larger number (a) is equal to the ratio of the larger number divided by the smaller number (a/b).
The Golden Ratio History
Throughout history, the ratio for length to width of rectangles of 1.61803 39887 49894 84820 has been considered the most pleasing to the eye. This ratio was named the golden ratio by the Greeks. In the world of mathematics, the numeric value is called "phi", named for the Greek sculptor Phidias. The space between the columns forms golden rectangles. There are golden rectangles throughout this structure which is found in Athens, Greece.
He sculpted many things including the bands of sculpture that run above the columns of the Parthenon.
Phidias widely used the golden ratio in his works of sculpture. The exterior dimensions of the Parthenon in Athens, built in about 440BC, form a perfect golden rectangle. How many examples of golden rectangles can you find in the below floorplan of the Parthenon? You may want to print the diagram and measure the distances using a ruler.