Geometry in the Real World

Arequipa Main Square, Plaza de Armas, Peru, Golden Rectangle

Successive Golden Rectangles dividing a Golden Rectangle into squares (logarithmic spiral known as the golden spiral).


Arequipa Main Square, Plaza de Armas and Golden Rectangle
Arequipa is the capital and largest city of the province of Arequipa. Also known as the White City, it is the second most populous city in Peru, with 844,407 inhabitants according to INEI projections.

Around 1170 the fourth Inca of Hurin Cuzco Dynasty, Mayta Capac, stationed with his army in an uninhabited valley which he called "Ari-quepay" (let's stay here), this Inca divided the land between three thousand families , who founded the villages or towns of Yanahuara, Cayma, Tiabaya, Paucarpata, Socabaya, Characato, Chiguata, and others.

In Arequipa tourism is a factor of the economy energizing establishing itself as the third most visited city in the country after Cusco and Lima, in 2010 arrived in the city a total of 1.395 million visitors according to the Ministry of Commerce and Tourism.. Source: Wikipedia: Arequipa.

Golden rectangle
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.
 

Arequipa Main Square, Plaza de Armas, Peru, Golden Rectangles

 

See also: Santa Catalina Monastery and Golden Rectangles

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