Concept

Golden Rectangle

A rectangle whose side lengths are in the golden ratio is called a golden rectangle.

Golden rectangles have the property of leaving a smaller golden rectangle when a square with side lengths equal to the width of the original rectangle is cut from them.

A golden rectangle being split into a square and another golden rectangle

The resulting rectangle

C F E B

is similar to the original rectangle

A C F D,

as both are golden rectangles.

A C F D \sim C F E B

Extra

Golden Rectangle in Nature

Ammonites are a group of extinct shellfish whose shell had a spiral shape. A peculiarity of the shell of an ammonite is that its length and width are in golden ratio. That means the shell fits into a golden rectangle.

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