Wonder World, Machu Picchu, Geometry Education

Machu Picchu, Cuzco and the Golden Rectangle

Golden Rectangle and Machu Picchu

Successive Golden Rectangles dividing a Golden Rectangle into squares (Machu Picchu).

The Golden Rectangle and Machu Picchu

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.

Machu Picchu. Built in the 1460s and abandoned for three centuries after the Spanish conquest, Machu Picchu, or “Old Peak” in the Quechua language, was rediscovered by U.S. archeologist Hiram Bingham in 1911. Machu Picchu is wonderful and incomparable, not only for its unique architecture. The natural beauty is astounding. 


Golden Rectangle and Machu Picchu


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Last updated: December 19, 2008