The Golden rectangle is a rectangle in which one side is approximately 0.618 times the other side.
0.618(...) This is the "Golden Number". It is the only number whose inverse is itself plus one: 1/x=x+1. If you solve this quadratic equation you will get x1=[1+sqr(5)]/2=0.618... and x2=1.618....
This number is also the ratio at which the rabbits reproduce, which follow the so called Fibonacci series: 1, 1, 2, 3, 5, 8, 13, ... in which a number is the sum of the 2 previous numbers (the next number in the example is 8+13=21). The Golden number is obtained by dividing one of these numbers into the immediately next number. For example, 13/21=0.619, but if you do this with bigger numbers you will get the exact value.
when golden rectangle constructed?
A golden rectangle is a rectangle whose side lengths are in the golden ratio, approximately 1:1.618. A 3x5 card has side lengths of 3 inches by 5 inches, which do not match the golden ratio. Therefore, a 3x5 card is not a golden rectangle.
true
No, there's no golden pentagon.
conclusion
no
when golden rectangle constructed?
phi is incorperated into the golden rectangle, because if you divide the longer side of the golden rectangle by the shorter sid, the answer will be phi.(1.168...)
Euclid was the one to construct the golden rectangle
A golden rectangle is a rectangle whose side lengths are in the golden ratio, approximately 1:1.618. A 3x5 card has side lengths of 3 inches by 5 inches, which do not match the golden ratio. Therefore, a 3x5 card is not a golden rectangle.
true
No, there's no golden pentagon.
conclusion
The Golden Rectangle is a geometrical figure whose side lengths are in the golden ratio. It can be made with only a compass and a straight edge.
The Golden Rectangle is a geometrical figure whose side lengths are in the golden ratio. It can be made with only a compass and a straight edge.
In italy, the Pantheon, however has the golden ratio. Its pillars below the roof is a rectangle, the golden rectangle, on the roof (top part) is a triangle, the golden triangle.
The Golden Rectangle was believed to be founded by Pythagoras. The Golden Rectangle was used for many Greek Buildings such as the Parthenon, and the Villa Stein.