The Golden Rectangle and Grand Canyon

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Successive Golden Rectangles dividing a Golden Rectangle into squares (Grand Canyon).

A golden rectangle is a rectangle whose side lengths are in the golden ratio, one-to-phi, that is, approximately 1:1.618. A distinctive feature of this shape is that when a square section is removed, the remainder is another golden rectangle, that is, with the same proportions as the first. Square removal can be repeated infinitely, which leads to an approximation of the golden or Fibonacci spiral.

Fibonacci numbers (0,1,1,2,3,5,8,13,21,34...) are a sequence of numbers named after Leonardo of Pisa, known as Fibonacci. The first number of the sequence is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers of the sequence itself.

The Grand Canyon The Grand Canyon is a steep-sided canyon carved by the Colorado River in the state of Arizona in the United States. Source: Wikipedia: Grand Canyon.



Grand Canyon and Golden Rectangle



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Last updated: August 15, 2008