What is a golden rectangle?
In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, 1:1+sqrt(5)/2 which is 1:phi is approximately 1.618. Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding or removing a square are Golden rectangles as well. A distinctive feature of this shape is that when a square section is added—or removed—the product is another golden rectangle, having the same aspect ratio as the first. Square addition or removal can be repeated infinitely, in which case corresponding corners of the squares form an infinite sequence of points on the golden spiral, the unique logarithmic spiral with this property. Diagonal lines drawn between the first two orders of embedded golden rectangles will define the intersection point of the diagonals of all the embedded golden rectangles; Clifford A. Pickover referred to this point as "the Eye of God"
How to Calculate Diagonal of Golden Rectangle?
Diagonal of Golden Rectangle calculator uses diagonal = sqrt((Long edge^2)*(1+(1/[phi]^2))) to calculate the Diagonal, The Diagonal of golden rectangle formula is defined as a straight line joining two opposite corners of the golden rectangle , where diagonal = diagonal of golden rectangle , side_a =long side of golden rectangle. Diagonal and is denoted by d symbol.
How to calculate Diagonal of Golden Rectangle using this online calculator? To use this online calculator for Diagonal of Golden Rectangle, enter Long edge (a) and hit the calculate button. Here is how the Diagonal of Golden Rectangle calculation can be explained with given input values -> 11.75571 = sqrt((10^2)*(1+(1/[phi]^2))).