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Concept

Golden Rectangle

A rectangle whose side lengths are in the golden ratio is called a golden rectangle.
Golden Rectangle Sides Animation
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 is similar to the original rectangle as both are golden rectangles.

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.

Golden Rectangle and Nautilus Shell