Golden rectangle

A golden rectangle is a rectangle with dimensions which are of the Golden Ratio , 1 :φ (i.e., 1.6180339887498948...). It yields another rectangle with sides of the same proportions when sectioned in a particular manner. That is, sectioned intotwo shapes : firstly a square with one side being one of the lesser sides of the surrounding golden rectangle;and secondly a rectangle composed of the remainder. The new, smaller rectangle is thus a golden rectangleitself, and one of its longer sides will be the other lesser side of the surrounding rectangle, the other being one of the sidesof the new square.

The rectangle looks like this:

			φ = 1 + x

				x = φ - 1

φ			1	x = 1 / φ

	1				1

See also

• Golden spiral
• Fibonacci
• Fibonacci numbers

External links

• Golden Ratio at MathWorld