golden rectangle and fibonacci rectangle
two rectangles
The further in the sequence of Fibonacci, the closer the quotient of two succesive numbers approches the number .
The applet below shows the result for rectangles.
- A thin black line shows a rectangle in whitch the quotient equals the quotiënt of two successive numbers in the sequence of Fibonacci. By dragging the slider you always take the next quotient.
- A thicker blue line shows a golden rectangle with ratio
approximately...
The further in the sequence of Fibonacci the closer the quotient of two succesive numbers approaches the number .
Already at the ratio the difference between both rectangles is fairly little and at the black rectangle disappears behind the thicker blue line.
So, why would you, when measuring dimensions on a picture say that the ratio is 'approximately' equal to instead of , or ?